A stress-driven computational homogenization method based on complementary potential energy variational principle for elastic composites

DOI10.1007/s00466-020-01953-8OpenAlexW3118651212WikidataQ113326784 ScholiaQ113326784MaRDI QIDQ2033660

Yuxi Xie, Shaofan Li

Publication date: 17 June 2021

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-020-01953-8

zbMATH Keywords

micromechanicscomputational homogenizationmicro-structuretwo-scale homogenization methodcomplementary variational principle of elasticity

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (3)

Establishing a quantitative relationship between strain gradient and hetero-deformation-induced stress in gradient-structured metals ⋮ Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface ⋮ Adaptive spatiotemporal dimension reduction in concurrent multiscale damage analysis

Cites Work

• Multi-scale computational homogenization: trends and challenges
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Non-homogeneous media and vibration theory
• Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy.
• Simulation of the multi-scale convergence in computational homogenization approaches
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
• Elastic properties of reinforced solids: Some theoretical principles
• A variational approach to the theory of the elastic behaviour of polycrystals
• Formulation and implementation of stress-driven and/or strain-driven computational homogenization for finite strain
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Introduction to Micromechanics and Nanomechanics
• Variational and Related Methods for the Overall Properties of Composites
• Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
• On constitutive macro-variables for heterogeneous solids at finite strain
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A stress-driven computational homogenization method based on complementary potential energy variational principle for elastic composites