matlab_fem_elastoplasticity swMATH ID: 35972 Software Authors: Čermák, M.; Sysala, S.; Valdman, J. Description: Efficient and flexible Matlab implementation of 2D and 3D elastoplastic problems. Fully vectorized MATLAB implementation of various elastoplastic problems formulated in terms of displacement is considered. It is based on implicit time discretization, the finite element method and the semismooth Newton method. Each Newton iteration represents a linear system of equations with a tangent stiffness matrix. We propose a decomposition of this matrix consisting of three large sparse matrices representing the elastic stiffness operator, the strain-displacement operator, and the derivative of the stress-strain operator. The first two matrices are fixed and assembled once and only the third matrix needs to be updated in each iteration. Assembly times of the tangent stiffness matrices are linearly proportional to the number of plastic integration points in practical computations and never exceed the assembly time of the elastic stiffness matrix. MATLAB codes are available for download and provide complete finite element implementations in both 2D and 3D assuming von Mises and Drucker-Prager yield criteria. One can also choose several finite elements and numerical quadrature rules. Homepage: https://arxiv.org/abs/1805.04155 Source Code: https://github.com/matlabfem/matlab_fem_elastoplasticity Dependencies: Matlab Keywords: Matlab code vectorization; elastoplasticity; finite element method; tangential stiffness matrix; semismooth Newton method Related Software: Matlab; HYPLAS; na14; GloVe; Adam; word2vec; NGSolve; Netgen; quadva; quadgk; GitHub; TFETI Cited in: 8 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Efficient and flexible Matlab implementation of 2D and 3D elastoplastic problems. Zbl 1428.74043Čermák, M.; Sysala, S.; Valdman, J. 2019 all top 5 Cited by 18 Authors 4 Valdman, Jan 2 Sysala, Stanislav 1 Brands, Dominik 1 Čermák, Martin 1 Gebuhr, G. 1 Gfrerer, Helmut 1 Haslinger, Jaroslav 1 Kontosakos, Vasileios E. 1 Melching, David 1 Moskovka, Alexej 1 Neunteufel, Michael 1 Outrata, Jiří V. 1 Pauly, Dirk 1 Pise, M. 1 Repin, Sergeĭ Igorevich 1 Schöberl, Joachim 1 Schröder, Jörg 1 Stefanelli, Ulisse Cited in 5 Serials 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Computation 1 Computers & Mathematics with Applications 1 Mathematics and Mechanics of Solids 1 SN Operations Research Forum all top 5 Cited in 6 Fields 5 Mechanics of deformable solids (74-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year