An employment of the catastrophe theory in fracture mechanics as applied to brittle strength criteria
type: Item
instance of: scholarly article
title: An employment of the catastrophe theory in fracture mechanics as applied to brittle strength criteria
zbMATH Open document ID: 0783.73050
DOI: 10.1016/0022-5096(93)90017-A
published in: Journal of the Mechanics and Physics of Solids
publication date: 1994-01-03T00:00:00Z
review text: The catastrophe theory is applied to the analysis of strength criteria delivered by the mechanics of brittle fracture. Introduction of a potential function of a specific kind enables one to examine brittle strength criteria in a broad class of multiparametric problems. Two example problems of fracture mechanics with two independent loading parameters are considered in detail. The first one concerns the development of two symmetric cracks issuing from a circular hole under the effect of biaxial compression-extension at infinity. The second one is that of an isolated rectilinear crack stretched by two concentrated forces and tension at infinity.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 58K35
zbMATH DE Number: 480394
zbMATH Keywords: loading path
zbMATH Keywords: potential function
zbMATH Keywords: multiparametric problems
zbMATH Keywords: loading parameters
zbMATH Keywords: symmetric cracks
zbMATH Keywords: circular hole
zbMATH Keywords: isolated rectilinear crack
author: Genady P. Cherepanov
author: Leonid N. Germanovich
MaRDI profile type: Publication
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full work available at URL: 0022-5096(93)90017-a
OpenAlex ID: W2036311908
description: scientific article; zbMATH DE number 480394