Appropriate number of unit cells in a representative volume element for micro-structural bifurcation encountered in a multi-scale modeling
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Publication:1605112
DOI10.1016/S0045-7825(01)00413-3zbMath1053.74014OpenAlexW2076380814WikidataQ57707979 ScholiaQ57707979MaRDI QIDQ1605112
Kiyohiro Ikeda, I. Saiki, Kenjiro Terada, Muneo Hori
Publication date: 11 July 2002
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00413-3
Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Homogenization in equilibrium problems of solid mechanics (74Q05)
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Cites Work
- Group theoretic methods in bifurcation theory. With an appendix by P. Olver
- Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
- Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
- Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory.
- Homogenization of nonconvex integral functionals and cellular elastic materials
- A group-theoretic approach to computational bifurcation problems with symmetry
- Non-homogeneous media and vibration theory
- Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
- Singularities and groups in bifurcation theory. Volume II
- Convexity conditions and existence theorems in nonlinear elasticity
- Analysis on evolution pattern of periodically distributed defects
- Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method
- Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
- Two-scale kinematics and linearization for simultaneous two-scale analysis of periodic heterogeneous solids at finite strain.
- Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation
- Homogenization and damage for composite structures
- Homogenization and Two-Scale Convergence
- Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
- Computational Use of Group Theory in Bifurcation Analysis of Symmetric Structures
- A class of general algorithms for multi-scale analyses of heterogeneous media
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