Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks
type: Item
instance of: scholarly article
title: Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks
zbMATH Open document ID: 0789.73027
DOI: 10.1016/0022-5096(93)90071-M
author: J. R. Willis
author: Valery P. Smyshlyaev
author: Federico J. Sabina
published in: Journal of the Mechanics and Physics of Solids
publication date: 1994-04-12T00:00:00Z
review text: The self-consistent analysis developed in former parts [the authors, J. Mech. Phys. Solids 41, No. 10, 1589-1598 (1993; Zbl 0782.73022)] is applied to the study of waves in a body containing cracks, by taking the limits of the formulae already derived as the aspect ratio of the spheroids tends to zero. A direct formulation of cracks, which leads to the same equations, is briefly summarized. The numbers of equations that require solution for the various cases (empty or fluid-filled cavities, aligned or randomly oriented) are reduced substantially for cracks in comparison with spheroids, because there is only one density (that of the matrix) and effective moduli are only altered from their matrix values by components of stress that interact with the cracks. Sample results are presented.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 549260
zbMATH Keywords: empty cavities
zbMATH Keywords: randomly oriented cavities
zbMATH Keywords: fluid-filled cavities
zbMATH Keywords: spheroids
zbMATH Keywords: effective moduli
Wikidata QID: Q59157627
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 549260