The problem of two plastic and heterogeneous inclusions in an anisotropic medium
type: Item
instance of: scholarly article
title: The problem of two plastic and heterogeneous inclusions in an anisotropic medium
zbMATH Open document ID: 0612.73010
DOI: 10.1016/0020-7225(87)90058-9
author: O. Fassi-Fehri
author: Marcel Berveiller
author: A. Hihi
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: We demonstrate an integral equation for the total local strain \(\epsilon^ T\) in an anisotropic heterogeneous medium with incompatible strain \(\epsilon^ P\) and which is at the same time submitted to an exterior field. The integral equation is solved in the case of an heterogeneous and plastic pair of inclusions, for which we calculate the average fields in each inclusion as well as the different parts of the elastic energy stocked in the medium. The solution is applied to the case of two isotropic and spherical inclusions in an isotropic matrix loaded in shear. The results are compared with those deduced from a more approximate method based on Born's approximation of the integral equation. In appendix we give a numerical method for calculating the interaction tensors between anisotropic inclusions in an anisotropic medium as well as the analytic solution in the case of two spherical inclusions located in an isotropic medium.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3990957
zbMATH Keywords: integral equation
zbMATH Keywords: total local strain
zbMATH Keywords: anisotropic heterogeneous medium
zbMATH Keywords: incompatible strain
zbMATH Keywords: heterogeneous and plastic pair of inclusions
zbMATH Keywords: isotropic and spherical inclusions
zbMATH Keywords: shear
zbMATH Keywords: Born's approximation
zbMATH Keywords: interaction tensors
zbMATH Keywords: anisotropic inclusions
zbMATH Keywords: anisotropic medium
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90058-9
OpenAlex ID: W2025888699
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description: scientific article; zbMATH DE number 3990957