On the conditions for the onset of motion of two collinear dislocation discontinuities
type: Item
instance of: scholarly article
title: On the conditions for the onset of motion of two collinear dislocation discontinuities
zbMATH Open document ID: 0552.73092
DOI: 10.1016/0021-8928(83)90100-4
author: A. S. Bykovtsev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1984-01-01T00:00:00Z
review text: The conditions under which the motion begins of two collinear dislocational Volterra-type discontinuities, initially specified on a single straight line in a homogeneously isotropic elastic medium, is studied. The theory of invariant \(\Gamma\)-integrals [\textit{G. P. Cherepanov}, Mechanics of brittle fracture (1979; Zbl 0442.73100)] is used to write the criteria defining the beginning and direction of motion of either end of the discontinuity. The limiting stresses are determined and the subsequent behaviour of the whole system is investigated.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 3880265
zbMATH Keywords: motion
zbMATH Keywords: two collinear dislocational Volterra-type discontinuities
zbMATH Keywords: initially specified
zbMATH Keywords: single straight line
zbMATH Keywords: homogeneously isotropic elastic medium
zbMATH Keywords: invariant \(\Gamma \) -integrals
zbMATH Keywords: beginning
zbMATH Keywords: direction
zbMATH Keywords: limiting stresses
zbMATH Keywords: subsequent behaviour
MaRDI profile type: Publication
full work available at URL: 0021-8928(83)90100-4
OpenAlex ID: W2005841204
cites work: Q3885343
cites work: Q5530582
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description: scientific article; zbMATH DE number 3880265