Exact second moments of strain for composites with isotropic phases
type: Item
instance of: scholarly article
title: Exact second moments of strain for composites with isotropic phases
zbMATH Open document ID: 1504.74012
author: Maximilian Krause
author: Tarkes Dora Pallicity
author: Thomas Böhlke
published in: European Journal of Mechanics. A. Solids
publication date: 2022-11-29T00:00:00Z
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74Q20
Mathematics Subject Classification ID: 74E35
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 7624596
zbMATH Keywords: micromechanics
zbMATH Keywords: local field
zbMATH Keywords: mean field
zbMATH Keywords: random sphere assemblage
zbMATH Keywords: Mori-Tanaka method
zbMATH Keywords: Hashin-Shtrikman bound
zbMATH Keywords: singular approximation
zbMATH Keywords: effective strain energy density
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2022.104806
OpenAlex ID: W4296051696
cites work: Field statistics in linear viscoelastic composites and polycrystals
cites work: Static elastic and thermoelastic field fluctuations in multiphase composites
cites work: Mechanical field fluctuations in polycrystals estimated by homogenization techniques
cites work: Internal residual stresses in heterogeneous solids -- a statistical theory for particulate composites
cites work: Q4379920
cites work: Derivatives of the spectral radius as a function of non-negative matrix elements
cites work: The determination of the elastic field of an ellipsoidal inclusion, and related problems
cites work: Maximum-entropy based estimates of stress and strain in thermoelastic random heterogeneous materials
cites work: Residual stresses and stored elastic energy of composites and polycrystals
cites work: On the effective behavior of nonlinear inelastic composites. I: Incremental variational principles
cites work: EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS
cites work: On optimal zeroth-order bounds with application to Hashin-Shtrikman bounds and anisotropy parameters
cites work: Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
cites work: A note on the decomposition of tensors into traceless symmetric tensors
cites work: On bounds for the overall elastic moduli of inhomogeneous systems. I
cites work: Bounds and self-consistent estimates for the overall properties of anisotropic composites
DOI: 10.1016/J.EUROMECHSOL.2022.104806
description: scientific article; zbMATH DE number 7624596