Auswahl der wissenschaftlichen Literatur zum Thema „Smoothed Finite Element“

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Zeitschriftenartikel zum Thema "Smoothed Finite Element"

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Nguyen, T. T., G. R. Liu, K. Y. Dai und K. Y. Lam. „Selective smoothed finite element method“. Tsinghua Science and Technology 12, Nr. 5 (Oktober 2007): 497–508. http://dx.doi.org/10.1016/s1007-0214(07)70125-6.

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Zhou, Liming, Ming Li, Guangwei Meng und Hongwei Zhao. „An effective cell-based smoothed finite element model for the transient responses of magneto-electro-elastic structures“. Journal of Intelligent Material Systems and Structures 29, Nr. 14 (12.06.2018): 3006–22. http://dx.doi.org/10.1177/1045389x18781258.

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To overcome the over-stiffness and the imprecise magneto-electro-elastic coupling effects of finite element model, we presented a cell-based smoothed finite element model to more accurately simulate the transient responses of magneto-electro-elastic structures. In the cell-based smoothed finite element model, the gradient smoothing technique was introduced into a magneto-electro-elastic multi-physical-field finite element model. The cell-based smoothed finite element model can achieve a close-to-exact stiffness of the continuum structures which could automatically discrete elements for complicated regions more readily and thus remarkably reduced the numerical errors. In addition, the modified Wilson- θ method was presented for solving the motion equation of magneto-electro-elastic structures. Several numerical examples were investigated and exhibited that the cell-based smoothed finite element model could receive more accurate and reliable simulation results than the standard finite element model. Besides, the cell-based smoothed finite element model was employed to calculate transient responses of magneto-electro-elastic sensor and typical micro-electro-mechanical systems–based magneto-electro-elastic energy harvester. Therefore, the cell-based smoothed finite element model can be adopted to tackle the practical magneto-electro-elastic problems such as smart vibration transducers, magnetic field sensors, and energy harvester devices in intelligent magneto-electro-elastic structures systems.
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Zhang, H. H., S. J. Liu und L. X. Li. „On the smoothed finite element method“. International Journal for Numerical Methods in Engineering 76, Nr. 8 (19.11.2008): 1285–95. http://dx.doi.org/10.1002/nme.2460.

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Surendran, M., Sundararajan Natarajan, Stéphane P. A. Bordas und G. S. Palani. „Linear smoothed extended finite element method“. International Journal for Numerical Methods in Engineering 112, Nr. 12 (11.10.2017): 1733–49. http://dx.doi.org/10.1002/nme.5579.

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Thanh, Chau Dinh, Vo Ngoc Tuyen und Nguyen Hoang Phuc. „A cell-based smoothed three-node plate finite element with a bubble node for static analyses of both thin and thick plates“. Vietnam Journal of Mechanics 39, Nr. 3 (23.09.2017): 229–43. http://dx.doi.org/10.15625/0866-7136/8809.

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This paper develops the cell-based (CS) smoothed finite element method for a three-node plate finite element with a bubble node at the centroid of the element. Based on the first-order shear deformation theory, the in-plane strains are smoothed on three non-overlapped subdomains of the element to transform the numerical integration of the element stiffness matrix from the surfaces into the lines of the subdomains. The shear-locking phenomenon, which occurs when the plate's thickness becomes small, is removed by employing the mixed interpolation of tensorial components (MITC). The present element, namely CS-MITC3+, passes the patch test and behaves independently from the sequence of node numbers of the element. Numerical results given by the CS-MITC3+ elements are better than the MITC3+ elements. As compared to other smoothed three-node plate finite elements, the CS-MITC3+ is a good competitor.
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KUMAR, V., und R. METHA. „IMPACT SIMULATIONS USING SMOOTHED FINITE ELEMENT METHOD“. International Journal of Computational Methods 10, Nr. 04 (23.04.2013): 1350012. http://dx.doi.org/10.1142/s0219876213500126.

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We present impact simulations with the Smoothed Finite Element Method (SFEM). Therefore, we develop the SFEM in the context of explicit dynamic applications based on diagonalized mass matrix. Since SFEM is not based on the isoparametric concept and is based on line integration rather than domain integration, it is very promising for events involving large deformations and severe element distortion as they occur in high dynamic events such as impacts. For some benchmark problems, we show that SFEM is superior to standard FEM for impact events. To our best knowledge, this is the first time SFEM is applied in the context of impact analysis based on explicit time integration.
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Christiansen, Snorre H., und Ragnar Winther. „Smoothed projections in finite element exterior calculus“. Mathematics of Computation 77, Nr. 262 (20.12.2007): 813–30. http://dx.doi.org/10.1090/s0025-5718-07-02081-9.

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Lee, Chaemin, und Phill-Seung Lee. „The strain-smoothed MITC3+ shell finite element“. Computers & Structures 223 (Oktober 2019): 106096. http://dx.doi.org/10.1016/j.compstruc.2019.07.005.

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Oh, Min-Han, und San Kim. „Strategy to Improve Edge-Based Smoothed Finite Element Solutions Using Enriched 2D Solid Finite Elements“. Applied Sciences 11, Nr. 8 (13.04.2021): 3476. http://dx.doi.org/10.3390/app11083476.

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In this paper, we present an automatic procedure that enhances the solution accuracy of edge-based smoothed 2D solid finite elements (three-node triangular and four-node quadrilateral elements). To obtain an enhanced solution, an adaptive enrichment scheme that uses enriched 2D solid finite elements and can effectively improve solution accuracy by applying cover functions adaptively without mesh-refinement is adopted in this procedure. First, the error of the edge-based finite element solution is estimated using a devised error estimation method, and appropriate cover functions are assigned for each node. While the edge-based smoothed finite elements provide piecewise constant strain fields, the proposed enrichment scheme uses the enriched finite elements to obtain a higher order strain field within the finite elements. Through various numerical examples, we demonstrate the accuracy improvement and efficiency achieved.
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LIU, S. J., H. WANG und H. ZHANG. „SMOOTHED FINITE ELEMENTS LARGE DEFORMATION ANALYSIS“. International Journal of Computational Methods 07, Nr. 03 (September 2010): 513–24. http://dx.doi.org/10.1142/s0219876210002246.

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The smoothed finite element method (SFEM) was developed in order to eliminate certain shortcomings of the finite element method (FEM). SFEM enjoys some of the flexibilities of meshfree methods. One advantage of SFEM is its applicability to modeling large deformations. Due to the absence of volume integration and parametric mapping, issues such as negative volumes and singular Jacobi matrix do not occur. However, despite these advantages, SFEM has never been applied to problems with extreme large deformation. For the first time, we apply SFEM to extreme large deformations. For two numerical problems, we demonstrate the advantages of SFEM over FEM. We also show that SFEM can compete with the flexibility of meshfree methods.
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Dissertationen zum Thema "Smoothed Finite Element"

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Bhowmick, Sauradeep. „Advanced Smoothed Finite Element Modeling for Fracture Mechanics Analyses“. University of Cincinnati / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1623240613376967.

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Wang, Sili. „An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements“. University of Cincinnati / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1416233762.

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Zeng, Wei. „Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications“. University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309306.

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Palmerini, Claudia. „On the smoothed finite element method in dynamics: the role of critical time step for linear triangular elements“. Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017.

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Il metodo agli elementi finiti (FEM) è molto utilizzato per risolvere problemi strutturali in diversi ambiti dell’ingegneria. Negli anni, è stata sviluppata una famiglia di nuovi metodi ottenuta combinando il FEM standard con la tecnica “strain smoothing”, giungendo ai cosiddetti “smoothed finite element method” (SFEM). In questa tesi, l’attenzione è stata concentrata sul node-based SFEM (NS-FEM) e sull'edge-based SFEM (ES-FEM), che appartengono a questa nuova famiglia di metodi. Dopo una literature review, volta a metterne in luce le proprietà e gli aspetti fondamenti, i due metodi sono stati confrontati con il FEM standard. L'implementazione dei due metodi è stata eseguita con il software MATLAB. Lo studio è stato fatto in ambito dinamico, utilizzando due metodi di integrazione numerica nel tempo: il metodo delle differenze centrali e il metodo di Runge-Kutta. Come problema test è stato studiato il problema delle vibrazioni libere di un elemento strutturale in stato piano di tensione. Il confronto è stato portato avanti su due fronti: il costo computazionale dei metodi ed il calcolo del “critical time step”. I risultati hanno mostrato che il NS-FEM e l'ES-FEM hanno un costo maggiore rispetto al FEM standard, mentre, lato critical time step, sono paragonabil al FEM standard.
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Duong, Minh Tuan [Verfasser], Dieter [Akademischer Betreuer] Weichert und Mikhail [Akademischer Betreuer] Itskov. „Hyperelastic Modeling and Soft-Tissue Growth Integrated with the Smoothed Finite Element Method-SFEM / Minh Tuan Duong ; Dieter Weichert, Mikhail Itskov“. Aachen : Universitätsbibliothek der RWTH Aachen, 2015. http://d-nb.info/1129364747/34.

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Pringgana, Gede. „Improving resilience of coastal structures subject to tsunami-like waves“. Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/improving-resilience-of-coastal-structures-subject-to-tsunamilike-waves(7fd556e2-0202-48ea-a8bf-39582f9c4c7b).html.

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This thesis investigates tsunami impact on shore-based, low-rise structures in coastal areas. The aims are to investigate tsunami wave inundation in built-up coastal areas with reference to structural response to wave inundation, to assess the performance of current design codes in comparison with validated state-of-the-art numerical models and to improve structural design of residential buildings in tsunami risk areas. Tsunami events over the past few decades have shown that a significant proportion of fatalities can be attributed to the collapse of building infrastructure due to various actions of the incident waves. Although major tsunami events have demonstrated the potential catastrophic effects on built infrastructure, current building codes have no detailed or consistent guidance on designing structures in tsunami-prone regions. Furthermore, considerable differences in existing empirical formulae highlight that new research is necessary to appropriately address the particularities of the tsunami-induced forces and structure response into the design standards. In this thesis, numerical modelling methods are used to simulate hydrodynamic impact on shore-based coastal structures. The hydrodynamic simulations were conducted using a novel meshless numerical method, smoothed particle hydrodynamics (SPH), which is coupled with the finite element (FE) method to model structural behaviour. The SPH method was validated with experimental data for bore impact on an obstacle using a convergence study to identify the optimum particle size to capture the hydrodynamics. The FE model was validated against experimental data for plates under transient blast loads which have similar load characteristics with impulsive tsunami-induced bore impacts. One of the contributions of the thesis is the use of a new coupling method of the SPH-based software DualSPHysics and FE-based software ABAQUS. Using SPH particle spacing of the same size as the FE mesh size, enables the SPH output pressure to be directly applied as an input to the structural response model. Using this approach the effects of arrangement and orientation of single and multiple low rise structures are explored. Test cases were performed in 2-D and 3-D involving a discrete structure and multiple structures. The 3-D SPH simulations with single and multiple structures used an idealised coastal structure in the form of a cube with different on-plan orientations (0°, 30°, 45° and 60°) relative to the oncoming bore direction. The single structure cases were intended to study the improvement of the resilience of coastal structures by reducing the acting pressures on the vertical surfaces by changing the structure’s orientation. It was found the pressure exerted on the vertical surface of structure can be reduced by up to 50% with the 60° orientation case. The multiple structure models were conducted to examine shielding and flow focusing phenomena in tsunami events. The results reveal that the distance between two adjacent front structures can greatly influence the pressure exerted on the rear structure. This thesis also demonstrates the capability of SPH numerical method in simulating standard coastal engineering problems such as storm waves impact on a recurve wall in 2-D. The idealised structures were represented as standard timber construction and the finite element modelling was used to determine the corresponding stress distributions under tsunami impact. Following the comparison of the method used in this thesis with commonly used design equations based on the quasi-static approach, large differences in stress prediction were observed. In some cases the loads according to the design equations predicted maximum stresses almost one order of magnitude lower. This large discrepancy clearly shows the potential for non-conservative design by quasi-static approaches. The new model for the simulation of tsunami impact on discrete and multiple structures shows that the resilience of a coastal structure can be improved by changing the orientation and arrangement. The characteristics of tsunami waves during propagation and bore impact pressures on structures can be assessed in great detail with the combined SPH and FE modelling strategy. The techniques outlined in this thesis will enable engineers to gain a better insight into tsunami wave-structure interaction with a view towards resilience optimisation of structures vulnerable to tsunami impact events.
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Yan, Yinzhou. „High-quality laser machining of alumina ceramics“. Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/highquality-laser-machining-of-alumina-ceramics(3dd60fb6-5bda-4cc9-8f00-f49b170ca6aa).html.

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Alumina is one of the most commonly used engineering ceramics for a variety of applications ranging from microelectronics to prosthetics due to its desirable properties. Unfortunately, conventional machining techniques generally lead to fracture, tool failure, low surface integrity, high energy consumption, low material removal rate, and high tool wear during machining due to high hardness and brittleness of the ceramic material. Laser machining offers an alternative for rapid processing of brittle and hard engineering ceramics. However, the material properties, especially the high thermal expansion coefficient and low thermal conductivity, may cause ceramic fracture due to thermal damage. Striation formation is another defect in laser cutting. These drawbacks limit advanced ceramics in engineering applications. In this work, various lasers and machining techniques are investigated to explore the feasibility of high-quality laser machining different thicknesses of alumina. The main contributions include: (i) Fibre laser crack-free cutting of thick-section alumina (up to 6-mm-thickness). A three-dimensional numerical model considering the material removal was developed to study the effects of process parameters on temperature, thermal-stress distribution, fracture initiation and propagation in laser cutting. A rapid parameters optimisation procedure for crack-free cutting of thick-section ceramics was proposed. (ii) Low power CW CO2 laser underwater machining of closed cavities (up to 2-mm depth) in alumina was demonstrated with high-quality in terms of surface finish and integrity. A three-dimensional thermal-stress model and a two-dimensional fluid smooth particle hydrodynamic model (SPH) were developed to investigate the physical processes during CO2 laser underwater machining. SPH modelling has been applied for the first time to studying laser processing of ceramics. (iii) Striation-free cutting of alumina sheets (1-mm thickness) is realised using a nano-second pulsed DPSS Nd: YAG laser, which demonstrates the capability of high average power short pulsed lasers in high-quality macro-machining. A mechanism of pulsed laser striation-free cutting was also proposed. The present work opens up new opportunities for applying lasers for high-quality machining of engineering ceramics.
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Yang, Qing. „SPH Simulation of Fluid-Structure Interaction Problems with Application to Hovercraft“. Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/26785.

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A Computational Fluid Dynamics (CFD) tool is developed in this thesis to solve complex fluid-structure interaction (FSI) problems. The fluid domain is based on Smoothed Particle Hydro-dynamics (SPH) and the structural domain employs large-deformation Finite Element Method (FEM). Validation tests of SPH and FEM are first performed individually. A loosely-coupled SPH-FEM model is then proposed for solving FSI problems. Validation results of two benchmark FSI problems are illustrated (Antoci et al., 2007; Souto-Iglesias et al., 2008). The first test case is flow in a sloshing tank interacting with an elastic body and the second one is dam-break flow through an elastic gate. The results obtained with the SPH-FEM model show good agreement with published results and suggest that the SPH-FEM model is a viable and effective numerical tool for FSI problems. This research is then applied to simulate a two-dimensional free-stream flow interacting with a deformable, pressurized surface, such as an ACV/SES bow seal. The dynamics of deformable surfaces such as the skirt/seal systems of the ACV/SES utilize the large-deformation FEM model. The fluid part including the air inside the chamber and water are simulated by SPH. A validation case is performed to investigate the application of SPH-FEM model in ACV/SES via comparison with experimental data (Zalek and Doctors, 2010). The thesis provides the theory of the SPH and FEM models incorporated and the derivation of the loosely-coupled SPH-FEM model. The validation results have suggested that this SPH-FEM model can be readily applied to skirt/seal dynamics of ACV/SES interacting with free-surface flow.
Ph. D.
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Apel, Th. „Interpolation of non-smooth functions on anisotropic finite element meshes“. Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801341.

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In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed. The modified operators are defined for non-smooth functions and are suited for the application on anisotropic meshes. The anisotropy of the elements is reflected in the local stability and approximation error estimates. As an application, an example is considered where anisotropic finite element meshes are appropriate, namely the Poisson problem in domains with edges.
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Junqueira, Luiz Antonio Custódio Manganelli. „Estudo de suavizadores para o método Multigrid algébrico baseado em wavelet“. Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/3/3143/tde-18082008-141740/.

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Este trabalho consiste na análise do comportamento do método WAMG (Wavelet-Based Algebraic Multigrid), método numérico de resolução de sistemas de equações lineares desenvolvido no LMAG-Laboratório de Eletromagnetismo Aplicado, com relação a diversos suavizadores. O fato dos vetores que compõem os operadores matriciais Pronlongamento e Restrição do método WAMG serem ortonormais viabiliza uma série de análises teóricas e de dados experimentais, permitindo visualizar características não permitidas nos outros métodos Multigrid (MG), englobando o Multigrid Geométrico (GMG) e o Multigrid Algébrico (AMG). O método WAMG V-Cycle com Filtro Haar é testado em uma variedade de sistemas de equações lineares variando o suavizador, o coeficiente de relaxação nos suavizadores Damped Jacobi e Sobre Relaxação Sucessiva (SOR), e a configuração de pré e pós-suavização. Entre os suavizadores testados, estão os métodos iterativos estacionários Damped Jacobi, SOR, Esparsa Aproximada a Inversa tipo Diagonal (SPAI-0) e métodos propostos com a característica de suavização para-otimizada. A título de comparação, métodos iterativos não estacionários são testados também como suavizadores como Gradientes Conjugados, Gradientes Bi-Conjugados e ICCG. Os resultados dos testes são apresentados e comentados.
This work is comprised of WAMG (Wavelet-Based Algebraic Multigrid) method behavioral analysis based on variety of smoothers, numerical method based on linear equation systems resolution developed at LMAG (Applied Electromagnetism Laboratory). Based on the fact that the vectors represented by WAMG Prolongation and Restriction matrix operators are orthonormals allows the use of a variety of theoretical and practical analysis, and therefore gain visibility of characteristics not feasible through others Multigrid (MG) methods, such as Geometric Multigrid (GMG) and Algebraic Multigrid (AMG). WAMG V-Cycle method with Haar Filter is tested under a variety of linear equation systems, by varying smoothers, relaxation coefficient at Damped Jacobi and Successive Over Relaxation (SOR) smoothers, and pre and post smoothers configurations. The tested smoothers are stationary iterative methods such as Damped Jacobi, SOR, Diagonal type-Sparse Approximate Inverse (SPAI-0) and suggested ones with optimized smoothing characteristic. For comparison purposes, the Conjugate Gradients, Bi-Conjugate Gradient and ICCG non-stationary iterative methods are also tested as smoothers. The testing results are formally presented and commented.
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Bücher zum Thema "Smoothed Finite Element"

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Smoothed Finite Element Methods. CRC Press, 2010.

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Liu, G. R., und Nguyen Trung. Smoothed Finite Element Methods. Taylor & Francis Group, 2016.

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Buchteile zum Thema "Smoothed Finite Element"

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Litewka, Przemysław. „Contact between Smoothed Beams“. In Finite Element Analysis of Beam-to-Beam Contact, 71–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12940-7_4.

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Lluch, Èric, Rubén Doste, Sophie Giffard-Roisin, Alexandre This, Maxime Sermesant, Oscar Camara, Mathieu De Craene und Hernán G. Morales. „Smoothed Particle Hydrodynamics for Electrophysiological Modeling: An Alternative to Finite Element Methods“. In Functional Imaging and Modelling of the Heart, 333–43. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59448-4_32.

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Yuan, Wei-Hai, Hao-Cheng Wang, Wei Zhang und Bei-Bing Dai. „Numerical Simulation of Progressive Slope Failure Using the Smoothed Particle Finite Element Method“. In Challenges and Innovations in Geomechanics, 568–75. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64518-2_67.

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Yoshioka, Keita, Mathias Nest, Daniel Pötschke, Amir Shoarian Sattari, Patrick Schmidt und David Krach. „Numerical Platform“. In GeomInt–Mechanical Integrity of Host Rocks, 63–95. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61909-1_3.

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AbstractAn essential scientific goal of the GeomInt project is the analysis of potentials and limitations of different numerical approaches for the modelling of discontinuities in the rocks under consideration in order to improve the understanding of methods and their synergies with regard to theoretical and numerical fundamentals. As numerical methods, the “Lattice Element Method” (LEM), the non-continuous discontinuum methods “Discrete Element Method” (DEM), the “Smoothed Particle Hydrodynamics” (SPH), the “Forces on Fracture Surfaces” (FFS) as well as the continuum approaches “Phase-Field Method” (PFM), “Lower-Interface-Method” (LIE), “Non-Local Deformation” (NLD) and the “Hybrid-Dimensional Finite-Element-Method” (HDF) will be systematically investigated and appropriately extended based on experimental results (Fig. 3.1).
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Trần, Thanh Ngọc, und M. Staat. „Shakedown Analysis of Reissner-Mindlin Plates Using the Edge-Based Smoothed Finite Element Method“. In Direct Methods for Limit States in Structures and Materials, 101–17. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-6827-7_5.

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Pham-Tien, D., H. Pham-Quoc, V. Tran-The, T. Vu-Khac und N. Nguyen-Van. „Transient Analysis of Laminated Composite Shells Using an Edge-Based Smoothed Finite Element Method“. In Proceedings of the International Conference on Advances in Computational Mechanics 2017, 1075–94. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7149-2_75.

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Basson, Mandeep Singh, R. Venkataraman und G. V. Ramana. „Comparison of Slope Stability Using Smoothed Particle Hydrodynamics, Finite Element Method, and Limit Equilibrium Method“. In Lecture Notes in Civil Engineering, 295–310. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6086-6_24.

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Hojny, Marcin. „Spatial Solutions Based on the Smoothed Particle Method and the Finite Element Method—A Hybrid Approach“. In Modeling Steel Deformation in the Semi-Solid State, 55–73. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67976-1_5.

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Trân, Thanh Ngọc, und Manfred Staat. „An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties“. In Limit State of Materials and Structures, 89–102. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5425-6_5.

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Vo-Minh, Thien. „Calculation of Bearing Capacity Factors of Strip Footing Using the Nodebased Smoothed Finite Element Method (NS-FEM)“. In Lecture Notes in Civil Engineering, 1127–34. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-2184-3_147.

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Konferenzberichte zum Thema "Smoothed Finite Element"

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Liu, G. R. „On Smoothed Finite Element Methods“. In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62239.

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The paper presents an overview of the smoothed finite element methods (S-FEM) which are formulated by combining the existing standard FEM with the strain smoothing techniques used in the meshfree methods. The S-FEM family includes five models: CS-FEM, NS-FEM, ES-FEM, FS-FEM and α-FEM (a combination of NS-FEM and FEM). It was originally formulated for problems of linear elastic solid mechanics and found to have five major properties: (1) S-FEM models are always “softer” than the standard FEM, offering possibilities to overcome the so-called overly-stiff phenomenon encountered in the standard the FEM models; (2) S-FEM models give more freedom and convenience in constructing shape functions for special purposes or enrichments (e.g, various degree of singular field near the crack-tip, highly oscillating fields, etc.); (3) S-FEM models allow the use of distorted elements and general n-sided polygonal elements; (4) NS-FEM offers a simpler tool to estimate the bounds of solutions for many types of problems; (5) the αFEM can offer solutions of very high accuracy. With these properties, the S-FEM has rapidly attracted interests of many. Studies have been published on theoretical aspects of S-FEMs or modified S-FEMs or the related numerical methods. In addition, the applications of the S-FEM have been also extended to many different areas such as analyses of plate and shell structures, analyses of structures using new materials (piezo, composite, FGM), limit and shakedown analyses, geometrical nonlinear and material nonlinear analyses, acoustic analyses, analyses of singular problems (crack, fracture), and analyses of fluid-structure interaction problems.
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van der Stelt, A. A., T. C. Bor, H. J. M. Geijselaers, W. Quak, R. Akkerman und J. Huétink. „Comparison of ALE finite element method and adaptive smoothed finite element method for the numerical simulation of friction stir welding“. In THE 14TH INTERNATIONAL ESAFORM CONFERENCE ON MATERIAL FORMING: ESAFORM 2011. AIP, 2011. http://dx.doi.org/10.1063/1.3589694.

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Kumar, M. R. Nanda, A. Ramachandra Murthy, Smitha Gopinath und Nagesh R. Iyer. „A Cell Based Strain Smoothed Extended Finite Element Method for Fracture Mechanics Problems“. In 5th International Congress on Computational Mechanics and Simulation. Singapore: Research Publishing Services, 2014. http://dx.doi.org/10.3850/978-981-09-1139-3_052.

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Mendizabal, Andrea, Rémi Bessard Duparc, Huu Phuoc Bui, Christoph J. Paulus, Igor Peterlik und Stéphane Cotin. „Face-based smoothed finite element method for real-time simulation of soft tissue“. In SPIE Medical Imaging, herausgegeben von Robert J. Webster und Baowei Fei. SPIE, 2017. http://dx.doi.org/10.1117/12.2255064.

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Lockey, Aaron, Wilson Santamaria und Gustavo Gonzalez. „Modelling Shallow Dents Using Local Regression Methods and Finite Element Analysis“. In 2014 10th International Pipeline Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/ipc2014-33600.

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Modern in-line inspections can detect shallow dents in pipelines, with depths less than 2% of pipeline diameter. These dents are very common in thin-walled, small diameter refined and multiproduct lines, and frequently coincide with longitudinal welds and girth welds. Traditional dent assessment methods (such as the EPRG approach) can be conservative. Dents can have short predicted fatigue lives, but shallow dents are not known to be a major cause of pipeline failure, unless they are associated with a weld, a gouge, a crack, or severe pressure cycling. The conservatism affects both static failure assessments and fatigue assessments, resulting in high repair rates for shallow dents. This conservatism is partly due to: • Limitations of how the dent shape is modelled in the assessment methods; • Simplifications of the modelling of the stresses range; • Limitations of the calculation of strains in a dent based on inspection measurements; • Inability to model the changing cyclic stress range with changing dent shape. This paper shows that high resolution geometry inspection data contains irregularities which need to be filtered and smoothed. Advanced local regression methods are shown to give effective smoothing by removing errors but retaining the important elements of the real dent shape. The smoothed dent shape is used with the strain estimation methodology given by ASME B31.8 Appendix R, and an appropriate strain limit (based on likely weld quality), to assess whether cracking is likely to have initiated during dent formation. A methodology is then presented, based on Finite Element Analysis (FEA), which improves the accuracy of cyclic stress assessments of shallow smooth dents. The FEA model geometry is provided by the smoothed version of the measured dent shape. The pressure at which the dent shape was measured affects the calculated dent shape and stress as internal pressure varies: this effect is included in the model. The calculated cyclic stresses are used with S-N curves, such as those in BSI PD 5500, to estimate dent fatigue life. This methodology is then applied to 88 dents in two pipelines operated by ExxonMobil in the UK, using detailed high resolution geometrical in-line inspection data, comprehensive pressure cycle measurement data and enhanced dent assessment using the FEA method. It is concluded that this methodology can significantly improve the operator’s pipeline integrity strategy.
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Li, Wei, Qifan Zhang, Yingbin Chai, Tianyun Li und Zhixiong Gong. „An edge-based smoothed finite element method for two-dimensional underwater acoustic scattering problems“. In OCEANS 2016 - Shanghai. IEEE, 2016. http://dx.doi.org/10.1109/oceansap.2016.7485623.

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Lee, Sang-Hyun, Kurosh Darvish und Libor Lobovsky. „Fluid-Structure Interaction in Finite Element Modeling of Traumatic Aortic Rupture“. In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61790.

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Traumatic Aortic Rupture (TAR) during automobile crashes is one of the leading causes of fatality. In this study, the physical parameters and mechanisms of aortic rupture in dynamic pressure loading condition were investigated using different numerical approaches in a finite element model, including Eulerian, Arbitrary Lagrangian-Eulerian (ALE), and Smoothed Particle Hydrodynamics (SPH) formulations. The TAR models were compared against in vitro experiments and predicted the most probable location of rupture at the isthmus as indicated in the literature.
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Sharifi, Mirwais, Zeinab El-Sayegh und Moustafa El-Gindy. „Sensitivity Analysis of Tire-Soil Interaction Using Finite Element Analysis and Smoothed Particle Hydrodynamics Techniques“. In WCX SAE World Congress Experience. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2019. http://dx.doi.org/10.4271/2019-01-0174.

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El-Sayegh, Zeinab, Moustafa El-Gindy, Inge Johansson und Fredrik Oijer. „Modeling of Tire-Wet Surface Interaction Using Finite Element Analysis and Smoothed-Particle Hydrodynamics Techniques“. In WCX World Congress Experience. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2018. http://dx.doi.org/10.4271/2018-01-1118.

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Tang, Jinsong, Linfang Qian und Guangsong Chen. „A GFEM With Local Gradient Smoothed Approximation for 2D Solid Mechanics Problems“. In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23041.

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Abstract In this paper, a generalized finite element method (GFEM) with local gradient smoothed approximation (LGS-GFEM) using triangular meshes is proposed. The displacement field function of LGS-GFEM consists of the finite element shape function and the node displacement function. In order to obtain the nodal displacement function, the second order Taylor expansion is considered. The derivative term in Taylor expansion is obtained by using gradient smoothed technique in a smoothed domain. The displacement in smoothed operation is interpolated by polynomial basis function and radial basis function. Two kinds of integration schemes are considered, i.e. LGS-GFEM-I and LGS-GFEM-II respectively. The smoothed composite shape function of LGS-GFEM retains the ideal Kronecker property of the finite element shape function. Besides, the proposed LGS-GFEM has some other important properties such as no extra DOFs, linear independent, etc. The superiority of LGS-GFEM including high accuracy, rapid error convergence and temporal stability, is demonstrated by two representative numerical examples of static and free vibration, and compared with the classical finite element of triangular (FEM-T3) and quadrilateral (FEM-Q4) elements.
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Berichte der Organisationen zum Thema "Smoothed Finite Element"

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Jones, R. E., und P. Papadopoulos. A Novel Three-Dimensional Contact Finite Element Based on Smooth Pressure Interpolations. Office of Scientific and Technical Information (OSTI), Oktober 2000. http://dx.doi.org/10.2172/767443.

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Epperly, E., A. Barker und R. Falgout. Smoothers for Matrix-Free Algebraic Multigrid Preconditioning of High-Order Finite Elements. Office of Scientific and Technical Information (OSTI), September 2020. http://dx.doi.org/10.2172/1660522.

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Drive modelling and performance estimation of IPM motor using SVPWM and Six-step Control Strategy. SAE International, April 2021. http://dx.doi.org/10.4271/2021-01-0775.

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This paper presents a comprehensive evaluation of the performance of an interior permanent magnet (IPM) traction motor drive, and analyses the impact of different modulation techniques. The most widely used modulation methods in traction motor drives are Space vector modulation (SVPWM), over-modulation, and six-step modulation have been implemented. A two-dimensional electromagnetic finite element model of the motor is co-simulated with a dynamic model of a field-oriented control (FOC) circuit. For accurate tuning of the current controllers, extended complex vector synchronous frame current regulators are employed. The DC-link voltage utilization, harmonics in the output waveforms, torque ripple, iron losses, and AC copper losses are calculated and compared with sinusoidal excitation. Overall, it is concluded that the selection of modulation technique is related to the operating condition and motor speed, and a smooth transition between different modulation techniques is essential to achieve a better performance.
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STUDY ON MICROMECHANICAL FRACTURE MODELS OF STRUCTURAL STEEL AND ITS WELDS. The Hong Kong Institute of Steel Construction, Juni 2021. http://dx.doi.org/10.18057/ijasc.2021.17.2.2.

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Steel structures have been widely used in constructions due to their advantages of lightweight, high strength, short construction time and high recycling and reuse potential. Fracture failure in steel structures should be prevented to avoid collapse of the whole structures. Micromechanical fracture models can capture the fracture initiation mechanisms and therefore can be used to predict ductile fractures in steel. Twelve smooth round bars were carried out to obtain the material properties and 36 notched round bars were tested to calibrate the parameters of stress modified critical strain (SMCS) model and the void growth model (VGM) for structural steels (Q235B and Q345B) and the corresponding welds. Specimens were extracted from the base metal, the weld metal and the heat affected zone (HAZ) to investigate fracture behaviour in different parts of the welded joint. Scanning electron microscope (SEM) measurements were taken and finite element models were developed to calibrate the models. The test results and calibrated parameters are reported. Moreover, the calibrated models are applied to analyses the fracture behaviour of welded joints and their accuracy are validated. The calibrated and validated models can be used for further numerical fracture analysis in welded steel structures.
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