Effective properties of elastic materials that contain penny shaped voids
type: Item
instance of: scholarly article
title: Effective properties of elastic materials that contain penny shaped voids
zbMATH Open document ID: 0564.73089
DOI: 10.1016/0020-7225(84)90102-2
author: E. Turan Onat
published in: International Journal of Engineering Science
publication date: 1984-01-01T00:00:00Z
review text: It is known that the distribution of the orientation of voids can be represented by a sequence of even rank irreducible (damage) tensors. This result and the decomposition of the tensor of elastic moduli into its irreducible components and the theorem of minimum complementary energy enable us to obtain a good estimate for the effective compliance of an isotropic elastic matrix that contains a dilute distribution of penny shaped voids. We show that the (approximate) effective moduli depend only on two damage tensors \(V_{ij}\) and \(V_{ijk\ell}\) and on five scalar coefficients to be obtained from the solution of a ''simple'' stress boundary value problem of elasticity.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3900316
zbMATH Keywords: distribution of the orientation of voids
zbMATH Keywords: sequence of even rank irreducible (damage) tensors
zbMATH Keywords: decomposition of the tensor of elastic moduli
zbMATH Keywords: irreducible components
zbMATH Keywords: minimum complementary energy
zbMATH Keywords: estimate for the effective compliance
zbMATH Keywords: isotropic elastic matrix
zbMATH Keywords: dilute distribution of penny shaped voids
MaRDI profile type: Publication
full work available at URL: 0020-7225(84)90102-2
OpenAlex ID: W2151796041
cites work: The Penny-Shaped Crack and the Plane Strain Crack in an Infinite Body of Power-Law Material
cites work: Q5553179
cites work: Q3325118
cites work: Q3844308
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description: scientific article; zbMATH DE number 3900316