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Статті в журналах з теми "Finite Element Tearing and Interconnecting"

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Автор: Grafiati

Опубліковано: 6 вересня 2023

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1

Zhu, Xue-Feng, Zheng-Dong Ma, and Ping Hu. "Nonconforming isogeometric analysis for trimmed CAD geometries using finite-element tearing and interconnecting algorithm." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 8 (January 23, 2017): 1371–89. http://dx.doi.org/10.1177/0954406216688491.

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Inspired by the nonconforming finite-element method, and with the intention of resolving difficulties in constructing analysis-suitable geometry in isogeometric analysis, an isogeometric method based on multipoint constraints and a finite-element tearing and interconnecting algorithm, called nonconforming isogeometric analysis, is proposed. The major purpose of the algorithm is to enable the application of isogeometric analysis directly to trimmed CAD geometries. The basic idea is to build a constraint equation system about the control points belonging to different trimmed spline patches and the normal derivatives of the geometric functions at properly selected interface points, and then to enforce the control variables and the normal derivatives of the displacement functions to obey the constraint equation system using the isoparametric concept. A spline version of the finite-element tearing and interconnecting method is then employed to obtain numerical solutions. Examples provided in this paper demonstrate the accuracy and efficiency of the new method.

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2

González, José A., and K. C. Park. "A simple explicit-implicit finite element tearing and interconnecting transient analysis algorithm." International Journal for Numerical Methods in Engineering 89, no. 10 (October 14, 2011): 1203–26. http://dx.doi.org/10.1002/nme.3281.

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3

MAGOULÈS, FRÉDÉRIC, KARL MEERBERGEN, and JEAN-PIERRE COYETTE. "APPLICATION OF A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIERS TO ACOUSTIC PROBLEMS ARISING FROM THE AUTOMOTIVE INDUSTRY." Journal of Computational Acoustics 08, no. 03 (September 2000): 503–21. http://dx.doi.org/10.1142/s0218396x00000297.

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The Finite Element Tearing and Interconnecting method for the Helmholtz equation is a recent nonoverlapping domain decomposition method for solving linear systems arising from the finite element discretization of Helmholtz problems in bounded domains. This method was validated on two-dimensional external problems with first-order absorbing boundary conditions. The purpose of this paper is to study the robustness and efficiency of iterative methods for the solution of the associated interface problem for three-dimensional interior problems arising from the automotive industry.

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4

Farhat, Charbel, and Francois-Xavier Roux. "A method of finite element tearing and interconnecting and its parallel solution algorithm." International Journal for Numerical Methods in Engineering 32, no. 6 (October 25, 1991): 1205–27. http://dx.doi.org/10.1002/nme.1620320604.

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5

Langer, U., and C. Pechstein. "Coupled Finite and Boundary Element Tearing and Interconnecting solvers for nonlinear potential problems." ZAMM 86, no. 12 (December 1, 2006): 915–31. http://dx.doi.org/10.1002/zamm.200610294.

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6

Yang, Ming-Lin, and Xin-Qing Sheng. "On the Finite Element Tearing and Interconnecting Method for Scattering by Large 3D Inhomogeneous Targets." International Journal of Antennas and Propagation 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/898247.

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The finite element tearing and interconnecting method (FETI) is applied to compute scattering by large 3D inhomogeneous targets. Two algorithms of FETI have been implemented for 3D scattering. The performance of these two FETI algorithms has been investigated in detail, particularly for large inhomogeneous targets. Numerical experiments show that the performance of FETI relies on the style of domain decomposition and inhomogeneity, which has not been carefully studied before. A trick for improving convergence of FETI is presented for inhomogeneous targets.

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7

Sadeq Obaid, Abdulrahman, and Stefanie Reese. "Proof of Positive Definiteness of FI and Extended Finite Element Tearing and Interconnecting XFETI." PAMM 9, no. 1 (December 2009): 383–84. http://dx.doi.org/10.1002/pamm.200910165.

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8

Tu, Xuemin, and Jing Li. "A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations." International Journal for Numerical Methods in Engineering 94, no. 2 (December 21, 2012): 128–49. http://dx.doi.org/10.1002/nme.4439.

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9

Raibi, Ouafaa, and Abdelilah Makrizi. "Finite element tearing and interconnecting-1 method for the solution of the topology optimisation problem." International Journal of Mathematical Modelling and Numerical Optimisation 12, no. 2 (2022): 141. http://dx.doi.org/10.1504/ijmmno.2022.122086.

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10

Raibi, Ouafaa, and Abdelilah Makrizi. "Finite element tearing and interconnecting-1 method for the solution of the topology optimisation problem." International Journal of Mathematical Modelling and Numerical Optimisation 12, no. 2 (2022): 141. http://dx.doi.org/10.1504/ijmmno.2022.10045638.

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11

Langer, Ulrich, and Clemens Pechstein. "All-floating coupled data-sparse boundary and interface-concentrated finite element tearing and interconnecting methods." Computing and Visualization in Science 11, no. 4-6 (March 27, 2008): 307–17. http://dx.doi.org/10.1007/s00791-008-0100-6.

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12

Navsariwala, Umesh D., and Stephen D. Gedney. "An efficient implementation of the finite-element time-domain algorithm on parallel computers using a finite-element tearing and interconnecting algorithm." Microwave and Optical Technology Letters 16, no. 4 (November 1997): 204–8. http://dx.doi.org/10.1002/(sici)1098-2760(199711)16:4<204::aid-mop3>3.0.co;2-p.

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13

Marcsa, Dániel, and Miklós Kuczmann. "Finite Element Tearing and Interconnecting Method and its Algorithms for Parallel Solution of Magnetic Field Problems." Electrical, Control and Communication Engineering 3, no. 1 (August 1, 2013): 25–30. http://dx.doi.org/10.2478/ecce-2013-0011.

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Abstract Because of the exponential increase of computational resource requirement for numerical field simulations of more and more complex physical phenomena and more and more complex large problems in science and engineering practice, parallel processing appears to be an essential tool to handle the resulting large-scale numerical problems. One way of parallelization of sequential (singleprocessor) finite element simulations is the use of domain decomposition methods. Domain decomposition methods (DDMs) for parallel solution of linear systems of equations are based on the partitioning of the analyzed domain into sub-domains which are calculated in parallel while doing appropriate data exchange between those sub-domains. In this case, the non-overlapping domain decomposition method is the Lagrange multiplier based Finite Element Tearing and Interconnecting (FETI) method. This paper describes one direct solver and two parallel solution algorithms of FETI method. Finally, comparative numerical tests demonstrate the differences in the parallel running performance of the solvers of FETI method. We use a single-phase transformer and a three-phase induction motor as twodimensional static magnetic field test problems to compare the solvers

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14

Negrello, Camille, Pierre Gosselet, and Christian Rey. "Nonlinearly Preconditioned FETI Solver for Substructured Formulations of Nonlinear Problems." Mathematics 9, no. 24 (December 8, 2021): 3165. http://dx.doi.org/10.3390/math9243165.

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We consider the finite element approximation of the solution to elliptic partial differential equations such as the ones encountered in (quasi)-static mechanics, in transient mechanics with implicit time integration, or in thermal diffusion. We propose a new nonlinear version of preconditioning, dedicated to nonlinear substructured and condensed formulations with dual approach, i.e., nonlinear analogues to the Finite Element Tearing and Interconnecting (FETI) solver. By increasing the importance of local nonlinear operations, this new technique reduces communications between processors throughout the parallel solving process. Moreover, the tangent systems produced at each step still have the exact shape of classically preconditioned linear FETI problems, which makes the tractability of the implementation barely modified. The efficiency of this new preconditioner is illustrated on two academic test cases, namely a water diffusion problem and a nonlinear thermal behavior.

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15

Spillane, N., and D. J. Rixen. "Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms." International Journal for Numerical Methods in Engineering 95, no. 11 (July 19, 2013): 953–90. http://dx.doi.org/10.1002/nme.4534.

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16

Shao, Yang, Zhen Peng, Kheng Hwee Lim, and Jin-Fa Lee. "Non-conformal domain decomposition methods for time-harmonic Maxwell equations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2145 (April 4, 2012): 2433–60. http://dx.doi.org/10.1098/rspa.2012.0028.

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We review non-conformal domain decomposition methods (DDMs) and their applications in solving electrically large and multi-scale electromagnetic (EM) radiation and scattering problems. In particular, a finite-element DDM, together with a finite-element tearing and interconnecting (FETI)-like algorithm, incorporating Robin transmission conditions and an edge corner penalty term , are discussed in detail. We address in full the formulations, and subsequently, their applications to problems with significant amounts of repetitions. The non-conformal DDM approach has also been extended into surface integral equation methods. We elucidate a non-conformal integral equation domain decomposition method and a generalized combined field integral equation method for modelling EM wave scattering from non-penetrable and penetrable targets, respectively. Moreover, a plane wave scattering from a composite mockup fighter jet has been simulated using the newly developed multi-solver domain decomposition method.

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17

ZAMPINI, STEFANO. "DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL." Mathematical Models and Methods in Applied Sciences 24, no. 04 (January 28, 2014): 667–96. http://dx.doi.org/10.1142/s0218202513500632.

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The cardiac Bidomain model consists in a reaction–diffusion system of partial differential equations which is often discretized by low-order finite elements in space and implicit–explicit methods in time; the resulting linear systems are very ill-conditioned and they must be solved at each time step of a cardiac beat simulation. In this paper we will construct and analyze Balancing Domain Decomposition by Constraints and Finite Element Tearing and Interconnecting Dual-Primal methods for the Bidomain operator. Proven theoretical estimates show that the proposed methods are scalable, quasi-optimal and robust with respect to possible coefficient discontinuities of the Bidomain operator and the time step. The results of extensive parallel numerical tests in three dimensions confirm the convergence rates predicted by the theory; large numerical simulations up to 400 millions of degrees of freedom on 27K cores of BlueGene/Q are also provided.

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18

Du, L., R. S. Chen, Z. B. Ye, and Y. Yang. "An efficient time-domain method analysis of quasiperiodic structures by a finite-element tearing and interconnecting algorithm." Microwave and Optical Technology Letters 52, no. 5 (March 5, 2010): 1072–78. http://dx.doi.org/10.1002/mop.25100.

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19

Li, Y., and J. M. Jin. "A Vector Dual-Primal Finite Element Tearing and Interconnecting Method for Solving 3-D Large-Scale Electromagnetic Problems." IEEE Transactions on Antennas and Propagation 54, no. 10 (October 2006): 3000–3009. http://dx.doi.org/10.1109/tap.2006.882191.

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20

Lü, Zhi‐Qing, and Xiang An. "Non‐conforming finite element tearing and interconnecting method with one Lagrange multiplier for solving large‐scale electromagnetic problems." IET Microwaves, Antennas & Propagation 8, no. 10 (July 2014): 730–35. http://dx.doi.org/10.1049/iet-map.2013.0254.

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21

Xue, Ming-Feng, and Jian-Ming Jin. "A preconditioned dual–primal finite element tearing and interconnecting method for solving three-dimensional time-harmonic Maxwell's equations." Journal of Computational Physics 274 (October 2014): 920–35. http://dx.doi.org/10.1016/j.jcp.2014.06.040.

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22

Yao, Wang, Jian-Ming Jin, and Philip T. Krein. "A dual-primal finite-element tearing and interconnecting method combined with tree-cotree splitting for modeling electromechanical devices." International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 26, no. 2 (June 18, 2012): 151–63. http://dx.doi.org/10.1002/jnm.1848.

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23

Marcsa, Daniel, and Miklós Kuczmann. "Closed loop voltage control of a solenoid using parallel finite element method." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 35, no. 4 (July 4, 2016): 1439–49. http://dx.doi.org/10.1108/compel-09-2015-0339.

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Purpose – The purpose of this paper is to present the importance of model accuracy in closed loop control by the help of parallel finite element model of a voltage-fed solenoid with iron core. Design/methodology/approach – The axisymmetric formulation of the domain decomposition-based circuit-coupled finite element method (FEM) is embedded in a closed loop control system. The control parameters for the proportional-integral (PI) controller were estimated using the step response of the analytical, static and dynamic model of the solenoid. The controller measures the error of the output of the model after each time step and controls the applied voltage to reach the steady state as fast as possible. Findings – The results of the closed loop system simulation show why the model accuracy is important in the stage of the controller design. The FEM offers higher accuracy that the analytic model attained with magnetic circuit theory, because the inductance and resistance variation already take into account in the numerical calculation. Furthermore, parallel FEM incorporating domain decomposition to reduce the increased computation time. Originality/value – A closed loop control with PI controllers is applied for a voltage driven finite element model. The high computation time of the numerical model in the control loop is decreased by the finite element tearing and interconnecting method with direct and iterative solver.

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24

Kulkarni, Nagesh H., B. P. Gautham, and Salil S. Kulkarni. "Total finite element tearing and interconnection method for computationally efficient micromechanical analysis." Modelling and Simulation in Materials Science and Engineering 29, no. 3 (March 24, 2021): 035015. http://dx.doi.org/10.1088/1361-651x/abe5b3.

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25

Wolfe, C. T., U. Navsariwala, and S. D. Gedney. "A parallel finite-element tearing and interconnecting algorithm for solution of the vector wave equation with PML absorbing medium." IEEE Transactions on Antennas and Propagation 48, no. 2 (2000): 278–84. http://dx.doi.org/10.1109/8.833077.

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26

Voznyuk, I., A. Litman, and H. Tortel. "Efficient combination of a 3D Quasi-Newton inversion algorithm and a vector dual-primal finite element tearing and interconnecting method." Inverse Problems 31, no. 8 (July 3, 2015): 085005. http://dx.doi.org/10.1088/0266-5611/31/8/085005.

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27

Wan, Ting, Qingwen Zhang, Tao Hong, Zhenhong Fan, Dazhi Ding та Ru Shan Chen. "Fast analysis of three‐dimensional electromagnetic problems using dual‐primal finite‐element tearing and interconnecting method combined with ℋ‐matrix technique". IET Microwaves, Antennas & Propagation 9, № 7 (травень 2015): 640–47. http://dx.doi.org/10.1049/iet-map.2014.0653.

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28

Gong, DuHyun, Seung-Hoon Kang, HyunShig Joo, Haeseong Cho, Taeyoung Chun, and SangJoon Shin. "Detailed structural analysis for fiber-reinforced polymer with singularities via FETI domain decomposition." Journal of Composite Materials 56, no. 11 (March 24, 2022): 1753–64. http://dx.doi.org/10.1177/00219983221074511.

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Анотація:

The conventional representative volume element approach may not be accurate enough in examining stress distribution near singularity in a composite. However, enormous number of degrees of freedom (DOFs) is usually required to discretize the subcomponents within the composite structure; hence, it may not be handled in a single CPU. In this study, the finite element tearing and interconnecting algorithm, a domain decomposition method, is proposed to address the challenges posed by such enormous number of DOFs via parallel computation. Owing to the message passing interface, analyses in this study will be conducted on the parallel computing environment. Furthermore, the METIS algorithm is adopted to automatically divide the solid domain into certain number of subdomains. Consequently, the fiber-reinforced polymer which possesses either a crack or notch discretized by over 10 million DOFs will be readily analyzed. The computational time is reduced significantly compared against the original one. Also, the stress and stiffness predictions show good agreement with those by the other existing analyses or experiments. Therefore, this study is expected to be fast and accurate in analyzing composite structures with enormous number of DOFs.

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29

Zhang, Xiaohu, and Qin Sun. "Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 37, no. 4 (August 2019): 650–55. http://dx.doi.org/10.1051/jnwpu/20193740650.

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For the parallel solution of structural finite element problem with non-matching multi-domains, a nonmatched finite element tearing and interconnectiong (FETI) parallel algorithm is proposed based on L-FETI method by introducing the frame node force and modifying the frame displacement compatibility condition and the load balance condition. Based on the radial basis functions (RBF) interpolation technique, the data transfer of internal force and displacement between the neighboring subdomains has a unified matrix format and is easy to program by introducing a local coordinate system into the non-matching interfaces. Taking the finite element model for plate bending problem with four subdomains as an example, two kinds of multi-domains models, matching and non-matching meshes, are constructed respectively. The numerical results show that the out-of-plane deflection of the same nodes on the domain decomposition frame is in a good agreement, which shows that the present method is reasonable and effective for solving the parallel non-matching multi-domains model.

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30

Langer, U., and O. Steinbach. "Boundary Element Tearing and Interconnecting Methods." Computing 71, no. 3 (November 1, 2003): 205–28. http://dx.doi.org/10.1007/s00607-003-0018-2.

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31

Langer, U., G. Of, O. Steinbach, and W. Zulehner. "Inexact Data‐Sparse Boundary Element Tearing and Interconnecting Methods." SIAM Journal on Scientific Computing 29, no. 1 (January 2007): 290–314. http://dx.doi.org/10.1137/050636243.

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32

Pechstein, Clemens. "Boundary element tearing and interconnecting methods in unbounded domains." Applied Numerical Mathematics 59, no. 11 (November 2009): 2824–42. http://dx.doi.org/10.1016/j.apnum.2008.12.031.

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33

Siswanto, Waluyo Adi, Rodzilla Y. Sharafuddin, and Perowansa Paruka. "High Speed Impact Characteristics of Plastic Material Based on Finite Element Simulation." Advanced Materials Research 383-390 (November 2011): 3229–33. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.3229.

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Testing material specimen on impact using high speed puncture machine can be used to observe the ability of material to withstand under a certain impact speed by looking at the energy required to tear the material. Other detail parameters such as stress, strain and tearing development on impact cannot be seen or measured. This paper presents a finite element method approach to see the strain history and the tearing sequence that cannot be obtained during impact puncture testing of plastic material (Polyethylene Terephthalate / PET). Simulations in different speed; 10 m/s (36 km/h) and 20 m/s (72 km/h) are performed employing a dynamic-explicit Impact finite element program suite. The simulations are able to capture the tearing process, to see the strain histories of tearing region and to predict the tearing pattern. The tearing pattern simulation results are verified by comparing with that from experiment.

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34

Wang, Ping, and Bao Zhong Sun. "Finite Element Analysis and Calculation of Tongue-Tearing Process of Woven Fabric." Advanced Materials Research 181-182 (January 2011): 443–48. http://dx.doi.org/10.4028/www.scientific.net/amr.181-182.443.

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Tearing is a common failure type during the service life of woven fabric. In this paper, tongue-tearing strength of a tight twill-woven fabric with weave structure of was tested on the Material Test System (MTS810.23). A Finite Element (FE) model was developed with FE simulation software ABAQUS based on the geometrical characteristics of the woven fabric. With this meso-modeling method, the whole tongue-tearing process was dynamically displayed. Tearing strength and failure morphologies were compared between FE simulation and experiment result, and good agreements were found. Also, a mesh scheme independent research was conducted for this FE model.

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35

Ping Wang, Qian Ma, Baozhong Sun, Hong Hu, and Bohong Gu. "Finite element modeling of woven fabric tearing damage." Textile Research Journal 81, no. 12 (June 20, 2011): 1273–86. http://dx.doi.org/10.1177/0040517510397578.

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36

Yan, Zheng Tao, Wen Wu Liu, and Hai Feng Li. "Research on the Effect of Load on the Fatigue Tearing of the Elastic Element." Advanced Materials Research 753-755 (August 2013): 1836–41. http://dx.doi.org/10.4028/www.scientific.net/amr.753-755.1836.

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According to engineering implement, the elastic element of the rubber isolator is easy prone to fatigue tearing, the model of the pump group floating raft vibration isolation system is established by ADAMS and the finite element ANSYS software, the force distribution of the system is calculated in the different swing angles in ADAMS, and the main reason of the elastic element fatigue tearing is found. Then, the strain change rule of the elastic element is researched in ANSYS, the elastic element which is the most vulnerable to fatigue tearing and its crack location are found, which plays an important role in solving the fatigue tearing of the rubber elastic element in the engineering practice.

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37

Meng, Lei. "Artificial Neural Network Simulation for Finite Element Analysis." Advanced Materials Research 791-793 (September 2013): 1468–71. http://dx.doi.org/10.4028/www.scientific.net/amr.791-793.1468.

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Artificial neural networks are composed of interconnecting artificial neurons. Artificial neural networks may either be used to gain an understanding of biological neural networks, or for solving artificial intelligence problems without necessarily creating a model of a real biological system. Average interpolating scaling function is constructed with symmetric interpolating scaling function, and the two scaling functions are given the relationship between the derivatives, which provides a convenient approach for the interpolation, and greatly improve accuracy.

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38

Hertelé, Stijn, Wim De Waele, Rudi Denys, and Matthias Verstraete. "Justification of the mapping approach for finite element modelling of ductile tearing." International Journal Sustainable Construction & Design 3, no. 1 (November 6, 2012): 36–43. http://dx.doi.org/10.21825/scad.v3i1.20554.

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Ductile tearing plays a major role in the failure behaviour of flawed pipeline girth welds underplastic deformation. Different approaches exist to describe tearing in finite element analysis, each of whichhas specific advantages and disadvantages. This paper focuses on the highly pragmatic mappingapproach, which interpolates between results of simulations with different but fixed flaw depths. The mainadvantage of mapping is its straightforward connection with experimentally determined crack growthresistance curves, by application of the tangency approach. Since mapping is unique in that it does notincorporate ductile tearing within a single simulation, its physical relevance may be questioned. This paperaddresses a justification of the mapping approach from a fundamental point of view. First, an analyticalproof of the concept is given based upon the mathematical background of the J integral. Then, a numericalvalidation gives confidence in the justification. Finally, attention is drawn to possible practicalimplementations of the mapping method.

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39

Zhan, Zhi Lan, Yi Ren Chen, and Jing Song Wang. "Tearing Behavior of the Polyurethane-Coated Fabrics with Five Different Silicone Contents." Advanced Materials Research 287-290 (July 2011): 2644–47. http://dx.doi.org/10.4028/www.scientific.net/amr.287-290.2644.

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The trapezoidal tearing method was utilized for the polyurethane coated fabrics with five different Silicone contents. The correlation of elastic modulus, shear modulus and tearing strength were studied and the results showed that the tearing strength increased following the decrease of elastic modulus. Finite element results were analyzed for the coated fabrics by using orthotropic model. The calculation results showed good agreement with the experimental results.

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40

Liu, Jin Xiang, and Ri Dong Liao. "Simulation of Thermal Stress and Hot Tearing in Engine Block Casting." Advanced Materials Research 154-155 (October 2010): 1571–74. http://dx.doi.org/10.4028/www.scientific.net/amr.154-155.1571.

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Using finite element method, a numerical simulation is presented for engine block casting. The filling process analysis provides an accurate initial temperature field to the thermal stress and hot tearing investigations; meanwhile, it is useful in prediction of cooling shut. The thermal stress distribution after solidification of the casting is solved. To assess the hot tearing, the RGD criterion is adopted. Both hot tearing indicator and thermal stress can be used to estimate the susceptibility of hot tearing. The results can offer a reference to casting parameter design for engine block.

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41

Mazich, Kenneth A., K. N. Morman, F. G. Oblinger, T. Y. Fan, and P. C. Killgoar. "The Effect of Specimen Thickness on the Tearing Energy of a Gum Vulcanizate." Rubber Chemistry and Technology 62, no. 5 (November 1, 1989): 850–62. http://dx.doi.org/10.5254/1.3536279.

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Abstract We have examined the effect of thickness on the critical tearing energy of a simple gum vulcanizate of SBR in pure shear. Laboratory experiments and finite-element calculations agree that the tearing energy that is measured with a pure-shear specimen increases with the thickness of the specimen. Laboratory measurements indicate that the deformation for crack growth in a pure-shear specimen increases with the thickness of the specimen. Finite-element calculations show that the energy available for release at a given deformation also increases with thickness in the range from t=1.4 mm to t=14 mm. Experiments show that the crtical tearing energy varies linearly with thickness in the range t=0.7 mm to t=2.7 mm. The effect of thickness on the tearing energy was also studied by calculating the J-integral at various points of the crack through the thickness of the pure-shear specimen. In general, the J-integral calculated at the surface of the specimen can be higher than the J-integral calculated at the center of the specimen for specimens that are sufficiently thick. The thickness effect measured in this work suggests that the “critical tearing energy” obtained from standard laboratory specimens may not be a true material property. For this reason, critical tearing energy that is measured on standard specimens may not be generally applied to predict failure in arbitrary elastomeric components.

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42

Zhang, Shu. "Based on Artificial Neural Network Simulation of Alloy Finite Element." Advanced Materials Research 710 (June 2013): 739–42. http://dx.doi.org/10.4028/www.scientific.net/amr.710.739.

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Artificial neural networks are composed of interconnecting artificial neurons (programming constructs that mimic the properties of biological neurons). Artificial neural networks may either be used to gain an understanding of biological neural networks, or for solving artificial intelligence problems without necessarily creating a model of a real biological system. First modal analyses of microstructure defects are performed in ANSYS. Second the genetic algorithm is implemented in MATLAB to Calculate the Value of b and p. The last, The FEM analysis results are imported in ANSYS about the Stress distribution. The result presented in this paper is obtained using the Genetic Algorithm Optimization Toolbox.

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43

Zahedi, S. A., A. Shamsi, A. Gorji, S. J. Hosseinipo, and M. Bakhshi-Jo. "Theoretical Study and Finite Element Simulation of Tearing in Hydroforming Process." Journal of Applied Sciences 9, no. 1 (December 15, 2008): 178–82. http://dx.doi.org/10.3923/jas.2009.178.182.

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44

Pidaparti, R. M. V., and V. Kakarla. "Fracture Analysis of Delamination Failure in Angle-Ply Elastomer Composites." Engineering Plastics 6, no. 7 (January 1998): 147823919800600. http://dx.doi.org/10.1177/147823919800600702.

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Fracture analysis of delamination type cracks in angle-ply elastomeric laminates was carried out using three-dimensional finite element analysis. The fracture parameter, tearing energy/J-integral that characterizes delamination failure in elastomer composites was computed from the finite element results of stresses and strains, and compared with existing analytical results using three different methods. The results obtained were validated with existing analytical methods in the literature. Numerical results of stress distributions and J-integral values are presented for various cord orientations and crack sizes. The results presented illustrate that cord-orientation and crack size have a strong effect on the values of tearing energy/J-integral. The results of the stress distributions and J-integral should help to improve our understanding of delamination type failures in elastomeric composite laminates.

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45

Pidaparti, R. M. V., and V. Kakarla. "Fracture Analysis of Delamination Failure in Angle-Ply Elastomer Composites." Polymers and Polymer Composites 6, no. 7 (January 1998): 439–45. http://dx.doi.org/10.1177/096739119800600702.

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Анотація:

Fracture analysis of delamination type cracks in angle-ply elastomeric laminates was carried out using three-dimensional finite element analysis. The fracture parameter, tearing energy/J-integral that characterizes delamination failure in elastomer composites was computed from the finite element results of stresses and strains, and compared with existing analytical results using three different methods. The results obtained were validated with existing analytical methods in the literature. Numerical results of stress distributions and J-integral values are presented for various cord orientations and crack sizes. The results presented illustrate that cord-orientation and crack size have a strong effect on the values of tearing energy/J-integral. The results of the stress distributions and J-integral should help to improve our understanding of delamination type failures in elastomeric composite laminates.

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46

Zhou, Qing, and Robert R. Mayer. "Characterization of Aluminum Honeycomb Material Failure in Large Deformation Compression, Shear, and Tearing." Journal of Engineering Materials and Technology 124, no. 4 (September 30, 2002): 412–20. http://dx.doi.org/10.1115/1.1491575.

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Large deformation failures of aluminum honeycomb materials in dynamic compression, static shear and static tearing are characterized in this comprehensive experimental study. Two low density honeycomb materials that make up the Offset Deformable Barrier (ODB) used in vehicle crash test were tested. Material characterization methods, including one for studying material tearing, have been developed. The honeycomb material data under large deformation, including complete curves of compression and shear stress-strain relations in the three principal directions, are presented and analyzed. Honeycomb material tearing strength, defined as tearing force per unit tearing length, is introduced. Strain-rate dependence of honeycomb materials under dynamic loading is investigated. Local failure mechanisms of honeycombs in compression, shear, and indentation punch tests and their relations with the bulk properties of the materials are studied in detail. The results of this research may be used to improve the material fidelity of finite element simulations of the ODB.

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47

Nam, Hyun Suk, Ji Soo Kim, Jin Weon Kim, and Yun Jae Kim. "Development of Finite Element Ductile Tearing Simulation Model Considering Strain Rate Effect." Transactions of the Korean Society of Mechanical Engineers A 40, no. 2 (February 1, 2016): 167–73. http://dx.doi.org/10.3795/ksme-a.2016.40.2.167.

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48

Han, Shaofeng, Changyan He, Ke Ma, and Yang Yang. "A study for lens capsule tearing during capsulotomy by finite element simulation." Computer Methods and Programs in Biomedicine 203 (May 2021): 106025. http://dx.doi.org/10.1016/j.cmpb.2021.106025.

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49

Yang, Xiao Xiang, and Xiao Fang Li. "Tearing Energy for Crack Growth at the Bonds of Cylindrical Rubber Bushes Subjected to Axial Shear." Key Engineering Materials 353-358 (September 2007): 211–14. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.211.

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We applied the fracture mechanics approach and the nonlinear finite element method to the analysis of interfacial failure in cylinder rubber bush bonded on their outer and inner curves surfaces to rigid metal cylinders. The fracture parameter, tearing energy for rubber bushes was calculated using global energy change. The contact of interfacial crack during deformation was considered. The analyses for initially small cracks and relatively large cracks growing downwards disagree with the previous linear solutions. The variation tearing energy for cracks growing upwards is consistent with the existed results except a small range of crack length at the bottom end, where negative tearing energies exist which indicates a small crack is unexpected to initiate.

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50

Sivakumar, M. V. N., B. N. Rao, and S. R. Satishkumar. "The Effect of Pressure Induced Hoop Stress on Bi-Axially Loaded through Wall Cracked Cylindrical Structures – A Strain Based Method." Applied Mechanics and Materials 110-116 (October 2011): 1525–30. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.1525.

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This paper presents a simplified strain-based fracture mechanics approach to study the effect of pressure induced hoop stress on bi-axially loaded through walled cracked (TWC) pipes subjected to an external bending load in combination with internal pressure. Elastic-plastic finite element analyses are conducted to establish the relation between global strain and Crack tip opening displacement (CTOD). In the finite element model X65 pipeline steel is considered using power-law idealization of stress-strain, and the inelastic deformations, including ductile tearing effects, are accounted for by use of the Gurson–Tvergaard–Needleman model. Several parameters are taken into account, such as crack length, internal pressure and material hardening. Strain based crack driving force equation is used and maximum load criterion is adopted to determine the critical strain from ductile tearing in the cracked pipeline. The results suggest that presence of pressure-induced hoop stresses increases the fracture response in high-hardening materials and their effects are significant due to large plastic-zone size.

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