International Journal for Numerical Methods in Engineering · 2008 · 93 citations · 31 references
Natural SciencesComputational EngineeringFinite Element AnalysisFinite Element MethodsMechanical Behavior Of MaterialsElastic DeformationElasticity TheoryHomogenization MethodsPlastic DeformationAsymptotic HomogenizationGeneralized Homogenization TheoryHomogenizationHomogenization TheoryLarge Deformation MechanicsNumerical HomogenizationNumerical SimulationTransient Deformation
Abstract We present a generalization of the classical mathematical homogenization theory aimed at accounting for finite unit cell distortions, which gives rise to a nonperiodic asymptotic expansion. We introduce an auxiliary macro‐deformed configuration, where the overall Cauchy stress is defined, and nonperiodic boundary conditions. Verification studies against a direct numerical simulation demonstrate the versatility of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.
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