VCFEM-HOMO swMATH ID: 35054 Software Authors: Ghosh, Somnath; Lee, Kyunghoon; Moorthy, Suresh Description: Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model. A multiple scale finite element model (VCFEM-HOMO) has been developed for elastic-plastic analysis of heterogeneous (porous and composite) materials by combining asymptotic homogenization theory with the Voronoi cell finite element model (VCFEM). VCFEM for microstructural modeling originates from Dirichlet tessellation of representative material elements at sampling points in the structure. Structural modeling is done by the general purpose finite element code ABAQUS, and interfacing with the microscale VCFEM analysis is done through the user subroutine in ABAQUS for material constitutive relation, UMAT. Asymptotic homogenization in UMAT generates macroscopic material parameters for ABAQUS. Following the macroscopic analysis, a local VCFEM analysis is invoked to depict the true evolution of microstructural state variables. Various numerical examples are executed for validating the effectiveness of VCFEM-HOMO, and the effect of size, shape and distribution of heterogeneities on local and global response is examined. Homepage: https://www.sciencedirect.com/science/article/pii/0045782595009744 Dependencies: ABAQUS UMAT Keywords: asymptotic theory; microscale analysis; finite element code ABAQUS; microstructural state variables Related Software: ABAQUS; top.m; UMAT; FEAPpv; PhyGeoNet; DGM; U-Net; PyTorch; k-means++; PETSc; OQMD; spBayes; Silhouettes; Matlab; Diffpack; HYPLAS; Triangle Cited in: 31 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model. Zbl 0892.73061Ghosh, Somnath; Lee, Kyunghoon; Moorthy, Suresh 1996 all top 5 Cited by 85 Authors 4 Ghosh, Somnath 3 Liu, Wing Kam 2 Bessa, Miguel A. 2 Brekelmans, W. A. M. 2 Ju, Xiaozhe 2 Lee, Kyunghoon 2 Liu, Zeliang 2 Mahnken, Rolf 2 Meijer, Han E. H. 2 Moorthy, Suresh 2 Sluys, Lambertus Johannes 2 Smit, R. J. M. 2 Stroeven, Martijn 1 Ameen, Muhsin M. 1 Apley, Daniel W. 1 Beaudoin, Armand J. 1 Behdinan, Kamran 1 Bostanabad, Ramin 1 Brandyberry, David R. 1 Brinson, C. 1 Carneiro Molina, A. J. 1 Chen, Wei 1 Cheng, Gengdong 1 Cheng, Lin 1 Cid Alfaro, M. V. 1 Cremonesi, Massimiliano 1 Cui, Junzhi 1 Cusatis, Gianluca 1 de Borst, René 1 de Souza Neto, Eduardo Alberto 1 Dodds, Robert H. jun. 1 Dondeti, Piyush 1 Fan, Rong 1 Feijóo, Raúl Antonino 1 Fillep, Sebastian 1 Firozbakhsh, K. 1 Fish, Jacob 1 Ganzosch, Gregor 1 Gao, Jiaying 1 Geers, Marc G. D. 1 Gerisch, Alf 1 Geubelle, Philippe H. 1 Guidault, Pierre-Alain 1 Guo, Xu 1 Iacobellis, Vincent 1 Juritza, Arion 1 Kafka, Orion L. 1 Kubair, Dhirendra V. 1 Ladevèze, Pierre 1 Li, Gang 1 Li, Hengyang 1 Li, Zhihui 1 Liang, Lihua 1 Lloberas-Valls, Oriol 1 Ma, Qiang 1 Mergheim, Julia 1 Messner, M. C. 1 Moës, Nicolas 1 Néron, David 1 Nguyen Vinh Phu 1 Nguyen, Vinh Phu 1 Nie, Yinghao 1 Oden, John Tinsley 1 Oskay, Caglar 1 Paquet, Daniel 1 Peerlings, Ron H. J. 1 Penta, Raimondo 1 Perić, Djordje 1 Remacle, Jean-François 1 Rezakhani, Roozbeh 1 Shen, Lihua 1 Steinmann, Paul 1 Suiker, Akke S. J. 1 Tajdari, Mahsa 1 Tang, Shan 1 Tang, Shaoqiang 1 Vemaganti, Kumar S. 1 Verhoosel, Clemens V. 1 Wagner, Gregory J. 1 Xu, Xi Frank 1 Xu, Yangjian 1 Yang, Hua 1 Yu, Cheng 1 Zhang, Lei 1 Zhang, Shuhai all top 5 Cited in 8 Serials 14 Computer Methods in Applied Mechanics and Engineering 4 International Journal for Numerical Methods in Engineering 4 Computational Mechanics 3 Journal of the Mechanics and Physics of Solids 2 European Journal of Mechanics. A. Solids 1 International Journal of Plasticity 1 Computing and Visualization in Science 1 Journal of Theoretical Biology all top 5 Cited in 6 Fields 30 Mechanics of deformable solids (74-XX) 9 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year