Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
type: Item
instance of: scholarly article
title: Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
zbMATH Open document ID: 0556.73074
DOI: 10.1016/0020-7225(84)90033-8
published in: International Journal of Engineering Science
publication date: 1984-01-01T00:00:00Z
review text: Based on Mori and Tanaka's concept of ''average stress'' in the matrix and Eshelby's solutions of an ellipsoidal inclusion, an approximate theory is established to derive the stress and strain state of constituent phases, stress concentrations at the interface, and the elastic energy and overall moduli of the composite. Both ''stress-free'' strain (polarization strain) and ''strain-free'' stress (polarization stress) are employed in these derivations under the traction-and displacement-prescribed conditions. The theory was developed first for a general multiphase, anisotropic composite with arbitrary oriented anisotropic inclusions; explicit results are then given for a suspension of uniformly distributed, multiphase isotropic spheres in an isotropic matrix. Numerical results for stress concentrations in the spherical inclusions and at the interface are given for a 2-phase composite.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3887222
zbMATH Keywords: Mori and Tanaka's concept of ''average stress'' in the matrix
zbMATH Keywords: Eshelby's solutions
zbMATH Keywords: ellipsoidal inclusion
zbMATH Keywords: stress and strain state
zbMATH Keywords: constituent phases
zbMATH Keywords: elastic energy
zbMATH Keywords: overall moduli
zbMATH Keywords: stress-free'' strain
zbMATH Keywords: polarization strain
zbMATH Keywords: strain-free'' stress
zbMATH Keywords: polarization stress
zbMATH Keywords: traction-and displacement-prescribed conditions
zbMATH Keywords: general multiphase, anisotropic composite
zbMATH Keywords: arbitrary oriented anisotropic inclusions
zbMATH Keywords: suspension of uniformly distributed, multiphase isotropic spheres
zbMATH Keywords: isotropic matrix
zbMATH Keywords: Numerical results
author: George J. Weng
MaRDI profile type: Publication
full work available at URL: 0020-7225(84)90033-8
OpenAlex ID: W2043496482
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description: scientific article; zbMATH DE number 3887222