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1
Matveev, Aleksandr. "Generating finite element method in constructing complex-shaped multigrid finite elements." EPJ Web of Conferences 221 (2019): 01029. http://dx.doi.org/10.1051/epjconf/201922101029.
Повний текст джерелаАнотація:
The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models. The dimension of discrete models can be effectively reduced by means of multigrid finite elements (MgFE). This paper proposes a generating finite element method for constructing two types of three-dimensional complex-shaped composite MgFE, which can be briefly described as follows. An MgFE domain of the first type is obtained by rotating a specified complex-shaped plane generating single-grid finite element (FE) around a specified axis at a given angle, and an MgFE domain of the second type is obtained by the parallel displacement of a generating FE in a specified direction at a given distance. This method allows designing MgFE with one characteristic dimension significantly larger (smaller) than the other two. The MgFE of the first type are applied to calculate composite shells of revolution and complex-shaped rings, and the MgFE of the second type are used to calculate composite cylindrical shells, complex-shaped plates and beams. The proposed MgFE are advantageous because they account for the inhomogeneous structure and complex shape of bodies and generate low-dimension discrete models and solutions with a small error.
2
Gao, Yu Jing, De Hua Wang, and Gui Ping Shi. "Meshless-Finite Element Coupling Method." Applied Mechanics and Materials 441 (December 2013): 754–57. http://dx.doi.org/10.4028/www.scientific.net/amm.441.754.
Повний текст джерелаАнотація:
We let the meshless method and the finite element method couple,so the meshless-finite element coupling method has the advantage. We based EFG - finite element coupling calculation principle and we drawn shape function of the coupling region, we obtained energy functional from weak variational equations and we find the numerical solution. EFGM-FE coupling method overcomes the simple use of meshless method to bring the boundary conditions and calculation intractable shortcomings of low efficiency. We found that this method is feasible and effective.
3
Justo, José Luis, Manuel Vázquez-Boza, and Enrique Justo. "Modelling of piles in finite element (FE) method." Geotecnia 146 (July 2019): 51–68. http://dx.doi.org/10.24849/j.geot.2019.146.03.
Повний текст джерела
4
Li, Di, Wen Qian Kang, and Peng Wei Guo. "Application in Die Forging Simulation Coupling Finite Element and Element-Free Galerkin Method." Key Engineering Materials 474-476 (April 2011): 1111–15. http://dx.doi.org/10.4028/www.scientific.net/kem.474-476.1111.
Повний текст джерелаАнотація:
The finite element method has been extensively used to predict forming difficulties of die forging problems. However, the analysis for die forging problems with finite element method can lose considerable accuracy due to severely distortional meshes. Based on the equality of elements, an automatically coupling algorithm has been proposed to analyze die forging problems, which converts the FE analysis into the EFG computation to preserve the accuracy in the region where meshes have been severely distorted and still employs the FE method to ensure high computational efficiency in the region where the quality of the FE meshes is acceptable. Numerical example shows that the present algorithms exploit the respective advantages of both the FE method whose computational efficiency is high and the EFG method which can throws out mesh distortions.
5
Erdoğan, Erhan, Ismail Demirci, and Mehmet Emin Candansayar. "Incorporating topography into 2D resistivity modeling using finite-element and finite-difference approaches." GEOPHYSICS 73, no. 3 (May 2008): F135—F142. http://dx.doi.org/10.1190/1.2905835.
Повний текст джерелаАнотація:
We incorporate topography into the 2D resistivity forward solution by using the finite-difference (FD) and finite-element (FE) numerical-solution methods. To achieve this, we develop a new algorithm that solves Poisson’s equation using the FE and FD approaches. We simulate topographic effects in the modeling algorithm using three FE approaches and two alternative FD approaches in which the air portion of the mesh is represented by very resistive cells. In both methods, we use rectangular and triangular discretization. Furthermore, we account for topographic effects by distorting the FE mesh with respect to the topography. We compare all methods for accuracy and calculation time on models with varying surface geometry and resistivity distributions. Comparisons show that model responses are similar when high-resistivity values are assigned to the top half of the rectangular cells at the air/earth boundary with the FE and FD methods and when the FE mesh is distorted. This result supports the idea that topographic effects can be incorporated into the forward solution by using the FD method; in some cases, this method also shortens calculation times. Additionally, this study shows that an FD solution with triangular discretization can be used successfully to calculate 2D DC-resistivity forward solutions.
6
Arora, Vikas. "Comparative study of finite element model updating methods." Journal of Vibration and Control 17, no. 13 (March 7, 2011): 2023–39. http://dx.doi.org/10.1177/1077546310395967.
Повний текст джерелаАнотація:
The effects of vibrations present major hazards and operating limitations ranging from discomfort (including noise), malfunctioning, reduced performance, early breakdown and structural failure which, in the worst case can be catastrophic. Hence, accurate mathematical models are required to describe the vibration characteristics of structures, which subsequently can be used for design purposes to limit the negative effects of vibrations. Finite element (FE) predictions are often called into question when they are in conflict with test results. Inaccuracies in FE models and errors in results predicted by them can arise due to the use of incorrect modeling of boundary conditions, incorrect modeling of joints, and difficulties in modeling of damping. This has led to the development of model updating techniques, which aim at reducing the inaccuracies present in an analytical model in the light of measured dynamic test data. In this paper, a detailed comparison of two approaches of obtaining updated FE models are evaluated with the objective that the frequency response functions (FRFs) obtained from updated FE models are able to predict the measured FRFs accurately. In the first method, the updated FE model is obtained by a direct method, which uses modal data. In the second method, the updated model is obtained by an iterative method, which uses FRF data and is also a parameter-based method. The effectiveness of both methods is evaluated by numerical examples, as well as by actual experimental data. Firstly, a study is performed using a numerical simulation based on fixed-fixed beam structure. The numerical study is followed by a case involving actual measured data for the case of an F-shaped test structure. The updated results have shown that the iterative method gives 20% better matching of FRFs with the experimental data and also the predictions of the iterative method is better than the direct method beyond the considered frequency range. The updated results have shown that the FE model obtained using the response function method, an iterative method, can be used to derive accurate model of the system. Updated models obtained by both methods are subsequently evaluated for its application in dynamic design.
7
Liu, Tianxiang, Geng Liu, and Q. Jane Wang. "An Element-Free Galerkin-Finite Element Coupling Method for Elasto-Plastic Contact Problems." Journal of Tribology 128, no. 1 (December 14, 2005): 1–9. http://dx.doi.org/10.1115/1.1843134.
Повний текст джерелаАнотація:
The element-free Galerkin-finite element (EFG-FE) coupling method, combined with the linear mathematical programming technique, is utilized to solve two-dimensional elasto-plastic contact problems. Two discretized models for an elastic cylinder contacting with a rigid plane are used to investigate the boundary effects in a contact problem when using the EFG-FE coupling method under symmetric conditions. The influences of the number of Gauss integration points and the size supporting the weight function in the meshless region on the contact pressure and stress distributions are studied and discussed by comparing the numerical results with the theoretical ones. Furthermore, the elasto-plastic contact problems of a smooth cylinder with a plane and a rough surface with a plane are analyzed by means of the EFG-FE method and different elasto-plasticity models.
8
Li, Di, Wen Qian Kang, and Peng Wei Guo. "A Coupled Finite Element and Element-Free Galerkin Method for Rigid Plastic Problems." Key Engineering Materials 450 (November 2010): 490–93. http://dx.doi.org/10.4028/www.scientific.net/kem.450.490.
Повний текст джерелаАнотація:
The analysis for rigid plastic forming problems with finite element method can lose considerable accuracy due to severely distortional meshes. By measuring the mesh equality of elements, a coupling algorithm for rigid plastic problems have been proposed based on the interface element method, which converts the FE analysis into the EFG computation to preserve the accuracy in the region where meshes have been severely distorted. Numerical example shows that the present algorithms exploit the respective advantages of both the FE method whose computational efficiency is high and the EFG method which can throws out mesh distortions and be suitable for rigid plastic forming analysis.
9
Luo, Wen Jun, Xiao Yan Lei, and Song Liang Lian. "The Analysis of Vibration for Ballastless Track-Bridge Base on a Hybrid FE-SEA Method." Applied Mechanics and Materials 405-408 (September 2013): 3213–17. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.3213.
Повний текст джерелаАнотація:
In this study, the methods for combining statistical energy analysis (SEA) and the finite element method (FEM) for the vibration analysis of structures are studied. Using the two methods simultaneously isnt entirely extend a primarily low frequency method, the finite element method, and high frequency method, SEA, to the mid frequency region are addressed. This approach is intended to extend the frequency range for a FEM based vibration analysis . A new finite element elementl for elevated slab ballastless track is proposed in which the new model can be used for modeling the track structural constituents of elevated slab ballastless track. Using finite element method and Hamilton theory, the coupled equation of vehicle-track-bridge can be established. In calculating example, both the rail displacement induced by single four-layer beam model. Specifically, it showed that the method yields very good result and high performance in the numerical example of previous research.
10
De’an, Hu, Liu Chunhan, Xiao YiHua, and Han Xu. "Analysis of explosion in concrete by axisymmetric FE-SPH adaptive coupling method." Engineering Computations 31, no. 4 (May 27, 2014): 758–74. http://dx.doi.org/10.1108/ec-08-2012-0202.
Повний текст джерелаАнотація:
Purpose – The purpose of this paper is to confirm that the axisymmetric finite element and smoothed particle hydrodynamics (FE-SPH) adaptive coupling method is effective to solve explosion problem in concrete based on the experiments. Design/methodology/approach – Axisymmetric FE-SPH adaptive coupling method is first presented to simulate dynamic deformation process of concrete under internal blast loading. Using calculation codes of FE-SPH coupling method, numerical model of explosion is approximated initially by finite element method (FEM), and distorted finite elements are automatically converted into meshless particles to simulate damage, splash of concrete by SPH method, when equivalent plastic strain of elements reaches a specified value. Findings – In this paper, damage process and pressure curve of concrete around explosive are analyzed and buried depth of explosive in concrete influence on damage effect under internal blast loading are obtained. Numerical analyses show that FE-SPH coupling method integrates high computational efficiency of FEM and advantages of SPH method, such as natural simulation to damage, splash and other characteristics of explosion in concrete. Originality/value – This work shows that FE-SPH coupling method has good performance to solve the explosion problem.
11
Wen, S. W., P. Hartley, I. Pillinger, and C. E. N. Sturgess. "Roll pass evaluation for three-dimensional section rolling using a simplified finite element method." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 211, no. 2 (February 1, 1997): 143–58. http://dx.doi.org/10.1243/0954405971516130.
Повний текст джерелаАнотація:
A simplified finite element (FE) method for modelling the complex three-dimensional deformation inherent in section rolling is presented. This simplified FE technique has been developed by considering a single slice of material of finite thickness passing through the roll gap, to avoid performing a full three- dimensional finite element analysis. Only one layer of a finite element mesh (consisting of brick elements) is generated on the slice of the process material taken from the three-dimensional workpiece. The slice of material is considered to be compressed using a pair of grooved dies, which have the same profiles as the rolls. In order to make this simplified pseudo-two-dimensional model more realistic, the speed of compression of the grooved dies is modified according to the vertical component of the peripheral roll velocity within the contact zone. Equations have been developed to approximate the roll separation force. This method is applied to perform a pre- and post-rolling FE analysis for the rolling process of a special section produced at British Steel's Skinningrove Works. The roll pass design and the stability of the rolling process are evaluated according to the results obtained from the FE predictions. Comparisons between FE results and experiment are made where possible.
12
Kosasih, P. B. "Learning Finite Element Methods by Building Applications." International Journal of Mechanical Engineering Education 38, no. 2 (April 2010): 167–84. http://dx.doi.org/10.7227/ijmee.38.2.7.
Повний текст джерелаАнотація:
This paper describes how programming projects are used to help students understand the theory of finite element (FE) methods in the author's class. The implementation of FE theory in FE-based commercial software is made clearer through programming simple FE analysis codes. From the experience gained in the coding, students have a better understanding of the theory and numerical processes used in FE commercial software. As a result, they have more confidence in using commercial software, knowing that the computer programs are not simply ‘black boxes’ that process data and produce colourful results. More importantly, they understand the limitations of the programs, how to use them correctly and interpret the generated output correctly. Two projects are described in which students develop codes and then compare the results with those from commercial software.
13
Li, L., K. Wang, H. Li, and T. F. Eibert. "Analytical finite element matrix elements and global matrix assembly for hierarchical 3-D vector basis functions within the hybrid finite element boundary integral method." Advances in Radio Science 12 (November 10, 2014): 1–11. http://dx.doi.org/10.5194/ars-12-1-2014.
Повний текст джерелаАнотація:
Abstract. A hybrid higher-order finite element boundary integral (FE-BI) technique is discussed where the higher-order FE matrix elements are computed by a fully analytical procedure and where the gobal matrix assembly is organized by a self-identifying procedure of the local to global transformation. This assembly procedure applys to both, the FE part as well as the BI part of the algorithm. The geometry is meshed into three-dimensional tetrahedra as finite elements and nearly orthogonal hierarchical basis functions are employed. The boundary conditions are implemented in a strong sense such that the boundary values of the volume basis functions are directly utilized within the BI, either for the tangential electric and magnetic fields or for the asssociated equivalent surface current densities by applying a cross product with the unit surface normals. The self-identified method for the global matrix assembly automatically discerns the global order of the basis functions for generating the matrix elements. Higher order basis functions do need more unknowns for each single FE, however, fewer FEs are needed to achieve the same satisfiable accuracy. This improvement provides a lot more flexibility for meshing and allows the mesh size to raise up to λ/3. The performance of the implemented system is evaluated in terms of computation time, accuracy and memory occupation, where excellent results with respect to precision and computation times of large scale simulations are found.
14
Xiong, Xin, Jing Jin, and Xin Yue Wu. "The Study on Finite Element Method for Mechanism Balance Calculation." Applied Mechanics and Materials 741 (March 2015): 262–65. http://dx.doi.org/10.4028/www.scientific.net/amm.741.262.
Повний текст джерелаАнотація:
Based on body inertial force and moment theoretical calculation method and finite element (FE) method principle, a kind of calculation method for complicated system static or dynamic inertial force and moment based on MATLAB code was put forward. The traditional mass concentration method has more error in some conditions compare with FE method. At last the data dependency was evaluated between method accuracy and element size.
15
He, Yinnian. "Finite Element Iterative Methods for the 3D Steady Navier--Stokes Equations." Entropy 23, no. 12 (December 9, 2021): 1659. http://dx.doi.org/10.3390/e23121659.
Повний текст джерелаАнотація:
In this work, a finite element (FE) method is discussed for the 3D steady Navier–Stokes equations by using the finite element pair Xh×Mh. The method consists of transmitting the finite element solution (uh,ph) of the 3D steady Navier–Stokes equations into the finite element solution pairs (uhn,phn) based on the finite element space pair Xh×Mh of the 3D steady linearized Navier–Stokes equations by using the Stokes, Newton and Oseen iterative methods, where the finite element space pair Xh×Mh satisfies the discrete inf-sup condition in a 3D domain Ω. Here, we present the weak formulations of the FE method for solving the 3D steady Stokes, Newton and Oseen iterative equations, provide the existence and uniqueness of the FE solution (uhn,phn) of the 3D steady Stokes, Newton and Oseen iterative equations, and deduce the convergence with respect to (σ,h) of the FE solution (uhn,phn) to the exact solution (u,p) of the 3D steady Navier–Stokes equations in the H1−L2 norm. Finally, we also give the convergence order with respect to (σ,h) of the FE velocity uhn to the exact velocity u of the 3D steady Navier–Stokes equations in the L2 norm.
16
Marinkovic, Dragan, and Manfred Zehn. "Survey of Finite Element Method-Based Real-Time Simulations." Applied Sciences 9, no. 14 (July 10, 2019): 2775. http://dx.doi.org/10.3390/app9142775.
Повний текст джерелаАнотація:
The finite element method (FEM) has deservedly gained the reputation of the most powerful, highly efficient, and versatile numerical method in the field of structural analysis. Though typical application of FE programs implies the so-called “off-line” computations, the rapid pace of hardware development over the past couple of decades was the major impetus for numerous researchers to consider the possibility of real-time simulation based on FE models. Limitations of available hardware components in various phases of developments demanded remarkable innovativeness in the quest for suitable solutions to the challenge. Different approaches have been proposed depending on the demands of the specific field of application. Though it is still a relatively young field of work in global terms, an immense amount of work has already been done calling for a representative survey. This paper aims to provide such a survey, which of course cannot be exhaustive.
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Oshiro, Kai, Hiroka Miyakubo, Masaki Fujikawa, and Chobin Makabe. "Hexahedral-Based Smoothed Finite Element Method Using Volumetric-Deviatoric Split for Contact Problem." Materials Science Forum 940 (December 2018): 84–88. http://dx.doi.org/10.4028/www.scientific.net/msf.940.84.
Повний текст джерелаАнотація:
A first-order hexahedral (H8)-element-based smoothed finite element method (S-FEM) with a volumetric-deviatoric split for nearly incompressible materials was developed for highly accurate deformation analysis of large-strain problems. In the proposed method, the isovolumetric part of the deformation gradient at the integration point is derived from F based on the beta finite element method (i.e., an S-FEM), whereas the volumetric part of the deformation gradient is derived from F on the basis of the standard FEM with reduced integration elements. This method targets H8 elements that are automatically generated from tetrahedral elements, which makes it quite practical. This is because the FE mesh can be created automatically even if the targeted object has a complex shape. This method eliminates the phenomena of volumetric and shear locking, and reduces pressure oscillations. The proposed method was implemented in the commercial FE software Abaqus and applied to the large-deformation contact problem to verify its effectiveness.
18
Xu, Yun, Jun Chen, Dong Quan Chen, and Jin Shan Sun. "MULTISCALE SIMULATION OF MICROCRACK BASED ON A NEW ADAPTIVE FINITE ELEMENT METHOD." International Journal of Modern Physics B 24, no. 15n16 (June 30, 2010): 2719–24. http://dx.doi.org/10.1142/s0217979210065520.
Повний текст джерелаАнотація:
In this paper, a new adaptive finite element (FE) framework based on the variational multiscale method is proposed and applied to simulate the dynamic behaviors of metal under loadings. First, the extended bridging scale method is used to couple molecular dynamics and FE. Then, macro damages evolvements of those micro defects are simulated by the adaptive FE method. Some auxiliary strategies, such as the conservative mesh remapping, failure mechanism and mesh splitting technique are also included in the adaptive FE computation. Efficiency of our method is validated by numerical experiments.
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Sun, Yao, and Huabei Jiang. "Enhancing Finite Element-Based Photoacoustic Tomography by Localized Reconstruction Method." Photonics 9, no. 5 (May 12, 2022): 337. http://dx.doi.org/10.3390/photonics9050337.
Повний текст джерелаАнотація:
Iterative reconstruction algorithm based on finite element (FE) modeling is a powerful approach in photoacoustic tomography (PAT). However, an iterative inverse algorithm using conventional FE meshing of the entire imaging zone is computationally demanding, which hinders this powerful tool in applications where quick image acquisition and/or a large image matrix is needed. To address this challenge, parallel computing techniques are proposed and implemented in the field. Here, we present an alternative approach for 2D PAT, which locoregionally reconstructs the region of interest (ROI) instead of the full imaging zone. Our simulated and phantom experimental results demonstrate that this ROI reconstruction algorithm can produce almost the same image quality as the conventional full zone-based reconstruction algorithm; however, the computation time can be significantly reduced without any additional hardware cost by more than two orders of magnitude (100-fold). This algorithm is further applied and validated in an in vivo study. The major vessel structures in a rat’s brain can be imaged clearly using our ROI-based approach, coupled with a mesh of 11,801 nodes. This novel algorithm can also be parallelized using MPI or GPU acceleration techniques to further enhance the reconstruction performance of FE-based PAT.
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Li, Ning, Bo Meng, Xinlong Feng, and Dongwei Gui. "A Numerical Comparison of Finite Difference and Finite Element Methods for a Stochastic Differential Equation with Polynomial Chaos." East Asian Journal on Applied Mathematics 5, no. 2 (May 2015): 192–208. http://dx.doi.org/10.4208/eajam.250714.020515a.
Повний текст джерелаАнотація:
AbstractA numerical comparison of finite difference (FD) and finite element (FE) methods for a stochastic ordinary differential equation is made. The stochastic ordinary differential equation is turned into a set of ordinary differential equations by applying polynomial chaos, and the FD and FE methods are then implemented. The resulting numerical solutions are all non-negative. When orthogonal polynomials are used for either continuous or discrete processes, numerical experiments also show that the FE method is more accurate and efficient than the FD method.
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Cattaneo, P. M., M. Dalstra, and B. Melsen. "The Finite Element Method: a Tool to Study Orthodontic Tooth Movement." Journal of Dental Research 84, no. 5 (May 2005): 428–33. http://dx.doi.org/10.1177/154405910508400506.
Повний текст джерелаАнотація:
Orthodontic tooth movement is achieved by (re)modeling processes of the alveolar bone, which are triggered by changes in the stress/strain distribution in the periodontium. In the past, the finite element (FE) method has been used to describe the stressed situation within the periodontal ligament (PDL) and surrounding alveolar bone. The present study sought to determine the impact of the modeling process on the outcome from FE analyses and to relate these findings to the current theories on orthodontic tooth movement. In a series of FE analyses simulating teeth subjected to orthodontic loading, the influence of geometry/morphology, material properties, and boundary conditions was evaluated. The accurate description of alveolar bone morphology and the assignment of non-linear mechanical properties for the PDF elements demonstrate that loading of the periodontium cannot be explained in simple terms of compression and tension along the loading direction. Tension in the alveolar bone was far more predominant than compression.
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Ding, Zhen Yu, Xiao Gui Wang, and Zeng Liang Gao. "Modeling of Fatigue Crack Closure by Finite Element Method." Advanced Materials Research 544 (June 2012): 145–50. http://dx.doi.org/10.4028/www.scientific.net/amr.544.145.
Повний текст джерелаАнотація:
Crack closure concept is often used to explain the crack propagation behavior in cracked components. The effective stress intensity factor range is considered as a driving force of fatigue crack growth based on the traditional crack closure concept. The crack closure process and the plastic deformation near the crack tip were discussed in this paper. The standard compact tension specimen with the plane-stress condition was used to study the crack closure. A dynamic crack propagation method was proposed to simulate the effect of previous fatigue crack growth on the successive crack growth behavior. To obtain the accurately numerical results of stress and strain components, the Jiang and Sehitoglu cyclic plasticity model was implemented into ABAQUS as UMAT. With the detailed stress and strain response taken from the finite element (FE) simulation, the whole process of crack closure was described by the load curve. The load corresponding to maximum crack closure length is firstly proposed to describe the effect of fatigue damage. According to the results of FE simulation, the cyclic plasticity of the material near the crack tip persists during the crack closure period and should not be ignored.
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Ritt, Roland, Martín Machado, Michael Fischlschweiger, Zoltan Major, and Thomas Antretter. "An Inverse Finite Element Approach to Calculate Full-Field Forming Strains." Key Engineering Materials 651-653 (July 2015): 363–68. http://dx.doi.org/10.4028/www.scientific.net/kem.651-653.363.
Повний текст джерелаАнотація:
A methodology to calculate surface strains from a rectangular grid placed on a forming blank is introduced. This method consists of treating the grid points as nodes of a finite element (FE) model and assigning elements to the grid. The strains are then computed following FE analysis. If higher order elements are used, also more information within the element can be obtained which allows a coarser grid without loss of accuracy. This is the major advantage of the approach presented herein.
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Luchini, J. R., J. M. Peters, and R. H. Arthur. "Tire Rolling Loss Computation with the Finite Element Method." Tire Science and Technology 22, no. 4 (October 1, 1994): 206–22. http://dx.doi.org/10.2346/1.2139542.
Повний текст джерелаАнотація:
Abstract This paper describes a process for the prediction of rolling resistance in tires. A new Directional Incremental Hysteresis (DIH) theory describing the hysteretic behavior of carbon black filled rubber is presented. The steps required to implement the DIH theory in a material model, within a Finite Element (FE) model, and to predict tire rolling resistance are described. The material model using the DIH theory is a strain-based model which includes an incremental formulation to deal with nonsinusoidal cycles within tires. The material model is also enhanced by a directional formulation which is active in situations where the strain tensor has a substantial change in direction with minimal change in magnitude. The hysteresis material model is developed only for the rubber compounds of the tire. While there is no direct contribution of cord hysteresis to predicted rolling loss, the structural effects of the cord on the rubber stress-strain behavior are included and will contribute to the tire rolling loss by affecting the stress-strain cycle of the rubber. Experimental work used to determine the parameters of the material model for specific compounds is outlined. Some example DIH parameters are listed by compound application. The DIH theory within the Finite Element method is then used to predict rolling resistance for a specific tire design. The results are compared to experimental data taken using SAE J-1269. The value of the tire rolling resistance is predicted within a few percent. In addition, the sensitivities of the tire to changes in load and inflation pressure are predicted and they are found to compare favorably to the experimental results. The DIH theory is implemented within a quasi-static FE model, and was not intended for use in dynamic applications such as the prediction of standing wave phenomena. While the quasi-static FE model used in this study can predict deformed shapes, stress distributions, and temperatures, there is presently no coupling between the thermal and mechanical models.
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Ramasubramaniam, E. S., P. R. Thyla, and N. Mahendrakumar. "Assessment of accuracy of modal parameters of a rotor dynamic system using different types of finite elements." International Journal of Modeling, Simulation, and Scientific Computing 09, no. 01 (January 23, 2018): 1750062. http://dx.doi.org/10.1142/s1793962317500623.
Повний текст джерелаАнотація:
The main objective of this work is to check the compatibility of Finite element method (FEM) to determine the modal parameters of the rotor system and to compare the results with analytical method. Current work is an attempt to implement different finite element (FE) models for the estimation of modal parameters. Two different order elements from Beam, Axisymmetric and Solid FE models are considered. The analysis is carried out on the rotor system and the accuracy of the results and the computation time of the FE models are estimated. The FE results are compared with the analytical method. It is observed that FE model can be used to simulate even at higher order frequencies, which is a limitation of analytical model. The analysis shows that the FE results closely match with analytical method and also the study summarizes that proper choosing of FE helps in developing rotor models in both a desirable accuracy and efficiency. Finally, a Campbell diagram is generated using the analytical method and FEM. The critical speeds are also calculated from the Campbell diagram. The closeness of the results between the two methods is checked.
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Dular, Patrick, Patrick Kuo-Peng, Mauricio Valencia Ferreira da Luz, and Laurent Krahenbuhl. "Model refinements of transformers via a subproblem finite element method." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 36, no. 1 (January 3, 2017): 309–19. http://dx.doi.org/10.1108/compel-03-2016-0125.
Повний текст джерелаАнотація:
Purpose This paper aims to develop a methodology for progressive finite element (FE) modeling of transformers, from simple to complex models of both magnetic cores and windings. Design/methodology/approach The progressive modeling of transformers is performed via a subproblem (SP) FE method. A complete problem is split into SPs with different adapted overlapping meshes. Model refinements are performed from ideal to real flux tubes, one-dimensional to two-dimensional to three-dimensional models, linear to nonlinear materials, perfect to real materials, single wire to volume conductor windings and homogenized to fine models of cores and coils, with any coupling of these changes. Findings The proposed unified procedure efficiently feeds each SP via interface conditions (ICs), which lightens mesh-to-mesh sources transfers and quantifies the gain given by each refinement on both local fields and global quantities, with a clear view on its significance to justify its usefulness, if any. It can also help in education with a progressive understanding of the various aspects of transformer designs. Originality/value Models of different accuracy levels are sequenced with successive additive corrections supported by different adapted meshes. The way the sources act at each correction step, up to the full models with their actual geometries, is given a particular care and generalized, allowing the proposed unified procedure. For all the considered corrections, the sources are always of IC type, thus only needed in layers of FE along boundaries, which lightens the required mesh-to-mesh projections between subproblems.
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Xu, Zhen, Ai Zhu Ren, and Xin Zheng Lu. "Modeling of Bridge Collapse in Virtual Scene Based on Finite Element Simulation." Applied Mechanics and Materials 88-89 (August 2011): 718–22. http://dx.doi.org/10.4028/www.scientific.net/amm.88-89.718.
Повний текст джерелаАнотація:
To simulate bridge collapse realistically and assist the investigation of bridge collapse accidents, a modeling method of bridge collapse in Open Scene Graph (OSG) graph engine based on Finite element (FE) simulation is proposed. For FE simulation using 3D solid elements, the main questions of modeling, such as scene hierarchy, drawing method and texture mapping, are discussed. A study case shows the bridge model in this paper is with realistic graphics, render efficiency and simulation controllability. The 3D virtual scene simulation using the modeling method proposed in this paper has the same accuracy as FE simulation, but is more realistic and complete than FE simulation and provides a graphic support for the analysis of bridge collapse accidents.
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Daud, Ruslizam, Ahmad Kamal Ariffin, Shahrum Abdullah, and A. E. Ismail. "Computation of Mixed Mode Stress Intensity Factor for Parallel Edge Cracks." Applied Mechanics and Materials 52-54 (March 2011): 1326–31. http://dx.doi.org/10.4028/www.scientific.net/amm.52-54.1326.
Повний текст джерелаАнотація:
This paper presents the extensions of newly developed finite element (FE) formulation to evaluate fracture behavior of parallel edge cracks problems. The numerical formulation used Barsoum singular finite elements to compute fracture parameters in two dimensional finite element models subjected to different crack-width ratio and cracks interval ratio. Mixed mode stress intensity factors (SIFs) of parallel edge cracks are computed in extending of FE formulation for pure Mode I formulation proposed by authors. In 2D linear elastic problem under mixed mode condition, the variation of SIF value near crack tips are discussed comprehensively. The newly finite element formulations are resulted with remarkable agreement with energy release rate based method compared to analytical solution available in the literatures.
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Yunus, M. A., M.N. Abdul Rani, M.A.S. Aziz Shah, M.S.M. Sani, and Z. Yahya. "The improvement of bolted joints model via finite element model updating method." Journal of Mechanical Engineering and Sciences 15, no. 4 (December 15, 2021): 8635–43. http://dx.doi.org/10.15282/jmes.15.4.2021.16.0682.
Повний текст джерелаАнотація:
Efficient schemes to represent mathematical model of thin-sheet metal structures jointed by bolted joints for accurately predict the structure dynamic behaviour has been a significant unresolved issue in structural dynamics community. The biggest challenge is to efficiently incorporate the joints local deformation effects on the developed mathematical model via finite element (FE) method. Generally, the joints local deformation typically exerts on the joints mating area. To solve this issue, this paper proposes efficient schemes to represent mathematical model of thin-sheet metal structures jointed by bolted joints with application to accurately calculate the structure dynamic behaviour using FE model updating method. The initial FE model of the assembled structure was developed by employed Fastener Connector (CFAST) in MSC NASTRAN software to represent the bolted joints while, the inclusion of the local deformation effects at the bolted joints mating area was represented by contact elements. Then, the responses obtained from the FE model was evaluated by weight up with experimental data. FE model updating (FEMU) method then was utilised for minimising prediction discrepancies originated from the initial FE model based on the experimental data. The proposed scheme shows the accuracy of the initial prediction was improved from 25.03 % to 14.65 % while the accuracy of the predicted mode shapes via modal assurance criterion (MAC) analysis were above 0.8. Therefore, the findings offer useful schemes for improving the quality of predicted dynamic behaviour, particularly in the thin-sheet metal jointed structure and the developed model can be used with confident for any subsequence dynamic analyses.
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Grbović, Aleksandar, and Dimitrije Mihajlović. "Practical Aspects of Finite Element Method Applications in Dentistry." Balkan Journal of Dental Medicine 21, no. 2 (July 26, 2017): 69–77. http://dx.doi.org/10.1515/bjdm-2017-0011.
Повний текст джерелаАнотація:
Summary The use of numerical methods, such as finite element method (FEM), has been widely adopted in solving structural problems with complex geometry under external loads when analytical solutions are unachievable. Basic idea behind FEM is to divide the complex body geometry into smaller and simpler domains, called finite elements, and then to formulate solution for each element instead of seeking a solution for the entire domain. After finding the solutions for all elements they can be combined to obtain a solution for the whole domain. This numerical method is mostly used in engineering, but it is also useful for studying the biomechanical properties of materials used in medicine and the influence of mechanical forces on the biological systems. Since its introduction in dentistry four decades ago, FEM became powerful tool for the predictions of stress and strain distribution on teeth, dentures, implants and surrounding bone. FEM can indicate aspects of biomaterials and human tissues that can hardly be measured in vivo and can predict the stress distribution in the contact areas which are not accessible, such as areas between the implant and cortical bone, denture and gingiva, or around the apex of the implant in trabecular bone. Aim of this paper is to present - using results of several successful FEM studies - the usefulness of this method in solving dentistry problems, as well as discussing practical aspects of FEM applications in dentistry. Some of the method limitations, such as impossibility of complete replication of clinical conditions and need for simplified assumptions regarding loads and materials modeling, are also presented. However, the emphasis is on FE modelling of teeth, bone, dentures and implants and their modifications according to the requirements. All presented studies have been carried out in commercial software for FE analysis ANSYS Workbench.
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Ge, Jian Li, Yan Zhi Wang, Jian Wei Hao, and Guo Lai Yang. "Finite Element Modeling and Modal Analysis of Bolted Joints." Applied Mechanics and Materials 105-107 (September 2011): 92–95. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.92.
Повний текст джерелаАнотація:
In order to properly simulate bolted joints and make the numerical modes as accurate as possible, this paper is focused on modeling methods for dealing with bolt connection structures composed of two sheets. Six methods are presented to establish the FE models using different element types(8-node brick elements and 4-node shell elements) and different constraints (such as contact interaction and coupling constraint). The models are solved in ABAQUS software and natural frequencies and vibration shapes are obtained. Then, the experiments of bolt fastening structures are performed and FE simulation results are compared with the experimental ones. Moreover, the methods which agree well with the experiments are selected as the FE model of bolted connection. Finally, the element layers in the through-thickness direction are discussed. FE models built in this paper can reflect the real situation of bolted joints and provide significant reference to FE analysis for the complex system connected by bolts.
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Liang, Ruixin, Joanne Yip, Winnie Yu, Lihua Chen, and Newman Lau. "Finite Element-Based Machine Learning Method to Predict Breast Displacement during Running." AATCC Journal of Research 8, no. 1_suppl (September 2021): 69–74. http://dx.doi.org/10.14504/ajr.8.s1.9.
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This paper presents an effective method to simulate the dynamic deformation of the breasts when a sports bra is worn during physical activity. A subject-specific finite element (FE) model of a female subject is established, and the accuracy of the material coefficients of the model is analyzed. An FE model of the sports bra is also built based on a commercially-available compression sports bra with a vest style. Then, an FE contact model between the body and bra is developed and validated, and the results applied to train a neural network model for predicting breast displacement based on bra straps with different tensile moduli. In this study, a four-layer neural network with a backpropagation algorithm (a Levenberg-Marquardt learning algorithm) is used. A comparison of the FE and machine learning results shows that machine learning can well predict the dynamic displacement of the breasts in a more time-efficient and convenient manner.
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FRANKE, DAVID, ERNST RANK, and ALEXANDER DÜSTER. "COMPUTATIONAL CONTACT MECHANICS BASED ON THE rp-VERSION OF THE FINITE ELEMENT METHOD." International Journal of Computational Methods 08, no. 03 (September 2011): 493–512. http://dx.doi.org/10.1142/s0219876211002630.
Повний текст джерелаАнотація:
In this paper we present an rp-adaptive discretization strategy to perform unilateral two-dimensional (2D) mechanical contact simulations by combining the r- and p-versions of the finite element method (FEM). The p-version leaves the finite element mesh unchanged and increases the shape function's polynomial degree in order to obtain convergence toward the exact solution of the underlying mathematical model. The r-method relocates nodes of an existing FE-mesh to improve the discretization of a given problem without introducing additional degrees of freedom, therefore, keeping the problem size fixed. The rp-version, which is a combination of the two aforementioned methods, is used in our study to move a node of the FE-mesh to the end of the contact zone to account for the loss of regularity that arises due to the change from contact to noncontact along the edge. It will be shown that highly accurate results can be obtained by using high-order (p) finite elements in combination with the penalty method and a relocation (r) of element nodes.
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Ribeiro, Pedro, Bruno Cochelin, and Sergio Bellizzi. "Non-linear Vibrations of Deep Cylindrical Shells by thep-Version Finite Element Method." Shock and Vibration 17, no. 1 (2010): 21–37. http://dx.doi.org/10.1155/2010/291043.
Повний текст джерелаАнотація:
Ap-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary conditions, are computed. These linear natural frequencies are compared with published results and with results obtained using a commercial software finite element package; good agreement is found. External forces are applied and the displacements in the geometrically non-linear regime computed with thep-model are found to be close to the ones computed using a commercial FE package. In all numerical tests thep-FE model requires far fewer degrees of freedom than the regular FE models. A numerical study on the dynamic behaviour of deep shells is finally carried out.
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Xu, Wei, Mengyan Zang, Jiro Sakamoto, and Shupei Zhang. "3D Adaptive Combined DE/FE Algorithm for Analyzing Impact Fracture of Laminated Glass." International Journal of Computational Methods 16, no. 04 (May 13, 2019): 1850101. http://dx.doi.org/10.1142/s0219876218501013.
Повний текст джерелаАнотація:
Laminated glass has been wildly employed in automobile windshields, modern buildings, etc. thanks to its security and durability performance. A novel 3D adaptive combined DE/FE algorithm is proposed to research its impact fracture mechanical properties if the fracture region is small relative to a specimen while the cracks are propagating at a random position. The proposed method can automatically convert the distorted finite elements into the spherical discrete elements during simulating the impact fracture of laminated glass. In this method a system is completely discretized into the finite elements at the initial moment without any discrete element existing until part of the finite elements becoming severely deformed. Subsequently each finite element, whose maximum tensile stress exceeds a user-specified conversion criterion, is converted into eight spherical discrete elements. At the same time the system is fragmented into two subdomains, the finite element (FE) and the discrete element (DE) subdomains. An extrinsic cohesive fracture model is adaptively adopted only in the DE subregion to capture the crack propagation when the normal stress between the DEs equals or exceeds the cohesive strength. The impact fracture of a glass beam is simulated by the adaptive algorithm and the discrete element method, respectively. Beside of the micro-cracks and cohesive zone, almost the same crack patterns are captured by both the numerical methods. Fortunately, the efficiency of the proposed method is much higher (10 times in this case) than that of the pure DEM. A satisfactory agreement of the simulation results certified the feasibility and effectiveness of such an adaptive algorithm. Finally, the impact fracture simulation is performed by the adaptive algorithm on a laminated glass beam which has the same size as the experimental specimens. Besides of the differences on the cracks occurrence and propagation angle, a similar agreement of the fracture patterns is observed as the experimental results. The common conclusions on the role of PVB interlayer can be obviously obtained by analyzing the simulation results, the same by analyzing the experimental ones. The proposed method is hopeful to be employed to analyze the impact fracture of an automobile windshield subjects to the head impact for the protection of pedestrians safety, the traffic accident reconstruction and the structural optimization of windshield.
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GAO, WEI, MENGYAN ZANG, and WEI XU. "AN APPROACH TO FREELY COMBINING 3D DISCRETE AND FINITE ELEMENT METHODS." International Journal of Computational Methods 11, no. 01 (September 2, 2013): 1350051. http://dx.doi.org/10.1142/s0219876213500515.
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A freely combined three-dimensional (3D) discrete and finite element (FE) algorithm is developed. The algorithm, which is based on the method combining the discrete element (DE) and the corresponding node of the FE proposed by Lei and Zang, treats each combined point on the facet of the FE as the corresponding node of the method. This new algorithm includes global search, local search and the combined force calculation processes. The combined force between the DE and FE is processed by using a penalty function method. Following that, the corresponding numerical code is implemented into the in-house developed code, a dynamic explicit DE/FE code named CDFP. To test the accuracy of the proposed algorithm and the corresponding numerical code, the vibration process of two beams under dynamic force and the vibration process of two glass plates under impact of rigid sphere are simulated in elastic range. By comparing the results with those calculated by using LS-DYNA, it is shown that they agree with each other very well.
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Yang, Yongtao, Xuhai Tang, Hong Zheng, and Quansheng Liu. "Four-Node Quadrilateral Element with Continuous Nodal Stress for Geometrical Nonlinear Analysis." International Journal of Computational Methods 15, no. 02 (September 28, 2017): 1850005. http://dx.doi.org/10.1142/s0219876218500056.
Повний текст джерелаАнотація:
In this paper, the performance of a hybrid ‘FE-Meshfree’ quadrilateral element with continuous nodal stress (Quad4-CNS) is investigated for geometrical nonlinear solid mechanic problems. By combining finite element method (FEM) and meshfree method, this Quad4-CNS synergizes the individual strengths of these two methods, which leads to higher accuracy, better convergence rate, as well as high tolerance to mesh distortion. Therefore, Quad4-CNS is attractive for geometrical nonlinear solid mechanic problems where excessive distorted meshes occur. For geometrical nonlinear analysis, numerical results show that the results of Quad4-CNS element are much better than those of four-node isoparametric quadrilateral element (Quad4), and are comparable to quadratic quadrilateral element (Quad8) and other hybrid ‘FE- Meshfree’ elements.
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Lee, Sung-Jun, Sang-Hwan Lee, and Yoon-Suk Chang. "PWSCC Assessment by Using Extended Finite Element Method." Journal of Multiscale Modelling 06, no. 03 (September 2015): 1550007. http://dx.doi.org/10.1142/s1756973715500079.
Повний текст джерелаАнотація:
The head penetration nozzle of control rod driving mechanism (CRDM) is known to be susceptible to primary water stress corrosion cracking (PWSCC) due to the welding-induced residual stress. Especially, the J-groove dissimilar metal weld regions have received many attentions in the previous studies. However, even though several advanced techniques such as weight function and finite element alternating methods have been introduced to predict the occurrence of PWSCC, there are still difficulties in respect of applicability and efficiency. In this study, the extended finite element method (XFEM), which allows convenient crack element modeling by enriching degree of freedom (DOF) with special displacement function, was employed to evaluate structural integrity of the CRDM head penetration nozzle. The resulting stress intensity factors of surface cracks were verified for the reliability of proposed method through the comparison with those suggested in the American Society of Mechanical Engineering (ASME) code. The detailed results from the FE analyses are fully discussed in the manuscript.
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Tseng, Z. Jack. "Rethinking the use of finite element simulations in comparative biomechanics research." PeerJ 9 (April 7, 2021): e11178. http://dx.doi.org/10.7717/peerj.11178.
Повний текст джерелаАнотація:
In the past 15 years, the finite element (FE) method has become a ubiquitous tool in the repertoire of evolutionary biologists. The method is used to estimate and compare biomechanical performance implicated as selective factors in the evolution of morphological structures. A feature common to many comparative studies using 3D FE simulations is small taxonomic sample sizes. The time-consuming nature of FE model construction is considered a main limiting factor in taxonomic breadth of comparative FE analyses. Using a composite FE model dataset, I show that the combination of small taxonomic sample sizes and comparative FE data in analyses of evolutionary associations of biomechanical performance to feeding ecology generates artificially elevated correlations. Such biases introduce false positives into interpretations of clade-level trends. Considering this potential pitfall, recommendations are provided to consider the ways FE analyses are best used to address both taxon-specific and clade-level evolutionary questions.
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Shi, Dongyang, Hongbo Guan, and Xiaofei Guan. "Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality." Journal of Applied Mathematics 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/156095.
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This paper studies the finite element (FE) approximation to a second-type variational inequality. The supe rclose and superconvergence results are obtained for conforming bilinear FE and nonconformingEQrotFE schemes under a reasonable regularity of the exact solutionu∈H5/2(Ω), which seem to be never discovered in the previous literature. The optimalL2-norm error estimate is also derived forEQrotFE. At last, some numerical results are provided to verify the theoretical analysis.
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Heath, A. R., and P. M. McNamara. "Crankshaft Stress Analysis—Combination of Finite Element and Classical Analysis Techniques." Journal of Engineering for Gas Turbines and Power 112, no. 3 (July 1, 1990): 268–75. http://dx.doi.org/10.1115/1.2906491.
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The conflicting legislative and customer pressures on engine design, for example, combining low friction and a high level of refinement, require sophisticated tools if competitive designs are to be realized. This is particularly true of crankshafts, probably the most analyzed of all engine components. This paper describes the hierarchy of methods used for crankshaft stress analysis with case studies. A computer-based analysis system is described that combines FE and classical methods to allow optimized designs to be produced efficiently. At the lowest level simplified classical techniques are integrated into the CAD-based design process. These methods give the rapid feedback necessary to perform concept design iterations. Various levels of FE analysis are available to carry out more detailed analyses of the crankshaft. The FE studies may feed information to or take information from the classical methods. At the highest level a method for including the load sharing effects of the flexible crankshaft within a flexible block interconnected by nonlinear oil films is described. This method includes the FE modeling of the complete crankshaft and the consideration of its stress field throughout an engine cycle. Fatigue assessment is performed to calculate the distribution of fatigue safety factor on the surface of the crankshaft. This level of analysis can be used for failure investigation, or detailed design optimization and verification. The method is compatible with those used for vibration and oil film analysis.
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Zulkifli, Nurazwin, Norhashila Hashim, Hazreen Haizi Harith, Mohamad Firdza Mohamad Shukery, Daniel Iroemeha Onwude, and Masniza Sairi. "Finite Element Modelling for Predicting the Puncture Responses in Papayas." Foods 10, no. 2 (February 18, 2021): 442. http://dx.doi.org/10.3390/foods10020442.
Повний текст джерелаАнотація:
This study aims to develop a finite element (FE) model to determine the mechanical responses of Exotica papayas during puncture loads. The FE model of the puncture-test was developed using the ANSYS 19.1 software. The proposed framework combined the finite element method and statistical procedure to validate the simulation with the experimental results. Assuming the elastic-plastic behaviour of papaya, the mechanical properties were measured through tensile test and compression test for both skin and flesh. The geometrical models include a quarter solid of papaya that was subjected to a puncture test with a 2 mm diameter flat-end stainless-steel probe inserted into the fruit tissues at 0.5 mm/s, 1 mm/s, 1.5 mm/s, 2 mm/s, and 2.5 mm/s. The FE results showed good agreement with the experimental data, indicating that the proposed approach was reliable. The FE model was best predicted the bioyield force with the highest relative error of 14.46%. In conclusion, this study contributes to the usage of FE methods for predicting the puncture responses of any perishable fruit and agricultural products.
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Asle-Zaeem, M., and S. D. Mesarovic. "Investigation of Phase Transformation in Thin Film Using Finite Element Method." Solid State Phenomena 150 (January 2009): 29–41. http://dx.doi.org/10.4028/www.scientific.net/ssp.150.29.
Повний текст джерелаАнотація:
Cahn-Hilliard type of phase field model coupled with elasticity is used to derive governing equations for the stress-mediated diffusion and phase transformation in thin films. To solve the resulting equations, a finite element (FE) model is presented. The partial differential equations governing diffusion and mechanical equilibrium are of different orders; Mixed-order finite elements, with C0 interpolation functions for displacement, and C1 interpolation functions for concentration are implemented. To validate this new numerical solver for such coupled problems, we test our implementation on thin film diffusion couples.
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Jiang, Fei, Kangping Liao, Kazuki Matsumura, Junji Ohgi, and Xian Chen. "Simulation of Fluid–Structure Interaction Problems with Thin Elastic Plate via the Coupling of Finite Element and Lattice Boltzmann Methods." International Journal of Computational Methods 17, no. 10 (March 31, 2020): 2050013. http://dx.doi.org/10.1142/s0219876220500139.
Повний текст джерелаАнотація:
A numerical framework is proposed to couple the finite element (FE) and lattice Boltzmann methods (LBM) for simulating fluid–structure interaction (FSI) problems. The LBM is used as an efficient method for solving the weakly-compressible fluid flows. The corotational FE method for beam elements is used to solve the thin plate deformation. The two methods are coupled via a direct-forcing immersed boundary (IB) method with a sub-iteration scheme. A virtual structure method has been developed to improve the computational accuracy. Validations of the proposed coupling method have been carried out by testing a vortex-induced vibration problem. The numerical results are in good agreement with [Li and Favier (2017), “A non-staggered coupling of finite element and lattice Boltzmann methods via an immersed boundary scheme for fluid-structure interaction,” Comput. Fluids 143, 90–102]. The proposed method does not require heavy linear algebra calculation, which is suitable for parallel computation.
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Watson, M., K. J. Mathias, N. Maffulli, D. W. L. Hukins, and D. E. T. Shepherd. "Finite element modelling of the Ilizarov external fixation system." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 221, no. 8 (August 1, 2007): 863–71. http://dx.doi.org/10.1243/09544119jeim225.
Повний текст джерелаАнотація:
This study describes a computational method for predicting the mechanical response of any configuration of the Ilizarov external fixation system. Mechanical testing of each of the individual components (ring, threaded rod, and wire) of the Ilizarov system was used to determine the stiffness of each component. Finite element (FE) analysis was then used to model each of the individual components. Each model was tuned to match the mechanical testing. A modular FE modelling system, using a master input file, was then developed where the tuned FE models of the individual components could be generated, positioned, and interconnected to replicate a range of fixator configurations. The results showed that the stiffness predications from the FE modelling of the fixator configurations were consistently 10 per cent higher than the stiffness values obtained from the mechanical testing. The FE modelling system can be used to predict the characteristic response of the fixator configurations and clearly shows the relative changes in that response for variations in the number of components used.
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Kahoul, I., S. Yahyaoui, Y. Mehidi, and Y. Khadri. "Shallow tunnel face stability analysis using finite elements." Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 1 (2021): 91–97. http://dx.doi.org/10.33271/nvngu/2021-1/091.
Повний текст джерелаАнотація:
Purpose. This work aims to study the tunnel face stability (Algiers subway Tunnel) and evaluate common numerical procedures that are used for analyzing the tunnel face stability. Two-dimensional (2D) and three-dimensional (3D) Finite Element (FE) modeling using PLAXIS programs. Methodology. Tunneling is executed by the NATM method; two types of calculations are used. The first one is done by reducing the applied face pressure until the face is collapsed. The second calculation method involves the Phi-c (the angle of internal friction and bonding) reduction method, which is based on calculating the safety factor of the shear strength of the soil. Both methods are applied for 2D and 3D FE-modelling. Findings. It is found that determining the applied face pressure is an important consideration to avoid face failure or excessive deformations with numerical methods resulting in more precise findings than analytical methods. Originality. The originality of this work is the use of both 2D and 3D modelling, combined with two approaches: structural analysis of plastic state and Phi-c reduction method based on calculating the safety factor of the shear strength of the soil. Practical value. This study illustrates that the reducing shear strength method is much better than the reducing applied face pressure method. Moreover, the result of 3D FE-modelling gives a better prediction comparing with the 2D FE-modelling results.
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Asadzadeh, Mohammad, and Larisa Beilina. "Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain." Algorithms 15, no. 10 (September 20, 2022): 337. http://dx.doi.org/10.3390/a15100337.
Повний текст джерелаАнотація:
Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The analyses are developed for a semi-discrete finite element scheme for time-dependent Maxwell’s equations. The explicit finite element schemes in different settings of the spatial domain are constructed and a domain decomposition algorithm is formulated. Several numerical examples validate convergence rates obtained in the theoretical studies.
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Luo, Zhendong. "A Finite Element Reduced-Dimension Method for Viscoelastic Wave Equation." Mathematics 10, no. 17 (August 25, 2022): 3066. http://dx.doi.org/10.3390/math10173066.
Повний текст джерелаАнотація:
In this study, we mainly employ a proper orthogonal decomposition (POD) to lower the dimension for the unknown Crank–Nicolson finite element (FE) (CNFE) solution coefficient vectors of the viscoelastic wave (VW) equation so as to build a reduced-dimension recursive CNFE (RDRCNFE) algorithm, adopt matrix analysis to analyze the stability together with errors to the RDRCNFE solutions, and utilize some numerical experimentations to verify the effectiveness of the RDRCNFE algorithm.
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Arafa, M. H., and M. M. Megahed. "Evaluation of spur gear mesh compliance using the finite element method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213, no. 6 (June 1, 1999): 569–79. http://dx.doi.org/10.1243/0954406991522509.
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This paper presents a finite element (FE) modelling technique to evaluate the mesh compliance of spur gears. Contact between the engaging teeth is simulated through the use of gap elements. Analysis is performed on several gear combinations and the variation in tooth compliance along the contact location is presented in a non-dimensional form. Results are compared with earlier predictions based on analytical, numerical and experimental methods. Load sharing among the mating gear teeth is discussed, and the overall gear mesh stiffness together with its cyclic variation along the path of contact is evaluated.
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ZHOU, LEI, MIAOLIN FENG, WEI WANG, HUA TONG, JIANPING LIU, LI GAO, and XINSHENG HUANG. "STUDY ON THE ROLE OF OSSICULAR JOINT USING FINITE ELEMENT METHOD." Journal of Mechanics in Medicine and Biology 16, no. 04 (June 2016): 1650041. http://dx.doi.org/10.1142/s021951941650041x.
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The lever ratio, the vibration mode and the stiffness of the ossicular joints were studied using the finite element (FE) analysis of the response of human ear under the outer ear sound excitation. The three-dimensional FE model was constructed based on serial micro CT images of a temporal bone block, and validated through comparison with the experimental data from previous literatures. The displacements of the umbo and stapes footplate and the vibration mode of the ossicles under different grades of stiffness of middle ear components were derived. It is suggested that the flexible ossicular joint combined with the shift of rotation axis causes the increase of lever ratio at high frequency. In addition, the flexible incudostapedial joint (ISJ) can reduce sound transmission especially at high frequency, meanwhile it also permits more vibration energy transmitted to the piston-like directions.