Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials.

DOI10.1016/S0022-5096(02)00146-1zbMath1145.74329OpenAlexW2005192533MaRDI QIDQ1415892

D. Massart

Publication date: 9 December 2003

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(02)00146-1

zbMATH Keywords

MicrostructuresInhomogeneous materialConstitutive behaviourProbability and statistics

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Effective constitutive equations in solid mechanics (74Q15) Random structure in solid mechanics (74E35)

Related Items (12)

A refined Maxwell's scheme for calculating effective properties of composite layers ⋮ A fully gradient model for Euler-Bernoulli nanobeams ⋮ Efficient two-scale simulations of engineering structures using the Hashin-Shtrikman type finite element method ⋮ Nonlocal gradient mechanics of nanobeams for non-smooth fields ⋮ On wave propagation in nanobeams ⋮ On the thermo-elastostatics of heterogeneous materials. I: General integral equation ⋮ FE analysis of stress and strain fields in finite random composite bodies ⋮ Thermal-stress concentration near inclusions in viscoelastic random composites ⋮ Bounds on the distribution of extreme values for the stress in composite materials ⋮ Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies ⋮ Solutions of the elastic fields in a half-plane region containing multiple inhomogeneities with the equivalent inclusion method and the applications to properties of composites ⋮ Model order reduction of nonlinear homogenization problems using a Hashin-Shtrikman type finite element method

Cites Work

• Bounds on the non-local effective elastic properties of composites
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Bounds on non-local effective relations for random composites loaded by configuration-dependent body force
• A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
• Elastic moduli of perfectly disordered composite materials
• Mean field variations in a statistical sample of heterogeneous linearly elastic solids
• The Overall Elastic Response of Composite Materials
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Non-local constitutive response of a random laminate subjected to configuration-dependent body force
• Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials.