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.

References in zbMATH (referenced in 27 articles , 1 standard article )

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  1. Brandyberry, David R.; Zhang, Xiang; Geubelle, Philippe H.: A GFEM-based reduced-order homogenization model for heterogeneous materials under volumetric and interfacial damage (2021)
  2. Juritza, Arion; Yang, Hua; Ganzosch, Gregor: Qualitative investigations of experiments performed on 3D-FDM-printed pantographic structures made out of PLA (2019)
  3. Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam: Clustering discretization methods for generation of material performance databases in machine learning and design optimization (2019)
  4. Ameen, M. M.; Peerlings, R. H. J.; Geers, M. G. D.: A quantitative assessment of the scale separation limits of classical and higher-order asymptotic homogenization (2018)
  5. Ma, Qiang; Li, Zhihui; Cui, Junzhi: Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates (2018)
  6. Bessa, M. A.; Bostanabad, R.; Liu, Z.; Hu, A.; Apley, Daniel W.; Brinson, C.; Chen, W.; Liu, Wing Kam: A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality (2017)
  7. Fallah, A.; Ahmadian, M. T.; Firozbakhsh, K.; Aghdam, M. M.: Micromechanical modeling of rate-dependent behavior of connective tissues (2017)
  8. Fillep, Sebastian; Mergheim, Julia; Steinmann, Paul: Towards an efficient two-scale approach to model technical textiles (2017)
  9. Ju, X.; Mahnken, R.: Model adaptivity on effective elastic properties coupled with adaptive FEM (2017)
  10. Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam: Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials (2016)
  11. Zhang, Shuhai; Oskay, Caglar: Reduced order variational multiscale enrichment method for elasto-viscoplastic problems (2016)
  12. Messner, M. C.; Beaudoin, A. J.; Dodds, R. H.: A grain boundary damage model for delamination (2015)
  13. Penta, Raimondo; Gerisch, Alf: Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study (2015)
  14. Cremonesi, M.; Néron, D.; Guidault, P.-A.; Ladevèze, P.: A PGD-based homogenization technique for the resolution of nonlinear multiscale problems (2013)
  15. Iacobellis, Vincent; Behdinan, Kamran: Multiscale coupling using a finite element framework at finite temperature (2012)
  16. Nguyen, Vinh Phu; Lloberas-Valls, Oriol; Stroeven, Martijn; Sluys, Lambertus Johannes: Computational homogenization for multiscale crack modeling. Implementational and computational aspects (2012)
  17. Nguyen Vinh Phu; Stroeven, Martijn; Sluys, Lambertus Johannes: Multiscale failure modeling of concrete: micromechanical modeling, discontinuous homogenization and parallel computations (2012)
  18. Paquet, Daniel; Dondeti, Piyush; Ghosh, Somnath: Dual-stage nested homogenization for rate-dependent anisotropic elasto-plasticity model of dendritic cast aluminum alloys (2011)
  19. Perić, D.; de Souza Neto, E. A.; Feijóo, R. A.; Partovi, M.; Carneiro Molina, A. J.: On micro-to-macro transitions for multi-scale analysis of non-linear heterogeneous materials: unified variational basis and finite element implementation (2011)
  20. Cid Alfaro, M. V.; Suiker, A. S. J.; Verhoosel, C. V.; de Borst, R.: Numerical homogenization of cracking processes in thin fibre-epoxy layers (2010)

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