Brittle cleavage of a piecewise-homogeneous elastic medium
type: Item
instance of: scholarly article
title: Brittle cleavage of a piecewise-homogeneous elastic medium
zbMATH Open document ID: 0603.73022
DOI: 10.1016/0021-8928(85)90104-2
author: I. V. Simonov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: Stationary pre-Rayleigh motion of a rigid body along a straight line connecting two elastic half-planes with the formation of a crack and a cavern is investigated. The contact between the edges in a small zone of the edge of the crack and outside the cavern at a large distance from the wedge is taken into account by the method of joining asymptotic expansions. As is shown, the ratios between the characteristic lengths are, respectively, quite small and quite large parameters if the wedge velocity is not close to the Rayleigh velocity, which specifies the advisability of using such an approach.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3974407
zbMATH Keywords: Keldysh-Sedov problem
zbMATH Keywords: three kinds of boundary conditions
zbMATH Keywords: four singularities
zbMATH Keywords: Riemann-Hilbert boundary value problem for vector functions
zbMATH Keywords: crack edges and cavity do not interact
zbMATH Keywords: force-free
zbMATH Keywords: Stationary pre-Rayleigh motion
zbMATH Keywords: rigid body
zbMATH Keywords: cavern
zbMATH Keywords: method of joining asymptotic expansions
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90104-2
OpenAlex ID: W2019422411
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description: scientific article; zbMATH DE number 3974407