A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids

DOI10.1016/S0045-7825(00)00367-4zbMath1013.74082OpenAlexW2076184169WikidataQ64017409 ScholiaQ64017409MaRDI QIDQ5930706

Tarek I. Zohdi, Peter Wriggers

Publication date: 24 April 2001

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(00)00367-4

zbMATH Keywords

elasticity tensorfinite element methodeigenvaluesrelaxationdeterioration of mechanical responsesmicroheterogeneous solidsmicrostructural failurevariational boundary value problem

Mathematics Subject Classification ID

Related Items (14)

Computational homogenization of coupled consolidation problems in micro-heterogeneous porous media ⋮ Variationally consistent computational homogenization of transient heat flow ⋮ On statistical strain and stress energy bounds from homogenization and virtual testing ⋮ Computational homogenization of microfractured continua using weakly periodic boundary conditions ⋮ Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures ⋮ Computational homogenization based on a weak format of micro-periodicity for RVE-problems ⋮ Computational homogenization of liquid-phase sintering with seamless transition from macroscopic compressibility to incompressibility ⋮ Modeling and simulation of the decohesion of particulate aggregates in a binding matrix ⋮ Multiscale stochastic finite element modeling of random elastic heterogeneous materials ⋮ Computational micro-macro material testing ⋮ Construction of macroscale yield surfaces for ductile composites based on a virtual testing strategy ⋮ Computational homogenization of uncoupled consolidation in micro-heterogeneous porous media ⋮ Modeling and discretization errors in hyperelasto-(visco-)plasticity with a view to hierarchical modeling ⋮ Adaptive computational meso-macro-scale modeling of elastic composites

Cites Work

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• On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects
• Coupled elasto-plasticity and damage constitutive equations
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• A domain decomposition method for bodies with heterogeneous microstructure based on material regularization
• Aspects of the computational testing of the mechanical properties of microheterogeneous material samples
• Statistical Damage Mechanics— Part I: Theory
• Nonlinear Difference Equations and Gauss-Seidel Type Iterative Methods
• Concerning the convergence of iterates to fixed points

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