Higher-order analysis of crack tip fields in elastic power-law hardening materials
type: Item
instance of: scholarly article
title: Higher-order analysis of crack tip fields in elastic power-law hardening materials
zbMATH Open document ID: 0780.73061
DOI: 10.1016/0022-5096(93)90022-8
author: K. Appert
published in: Journal of the Mechanics and Physics of Solids
publication date: 1993-08-29T00:00:00Z
full work available at URL: http://dspace.imech.ac.cn/handle/311007/39410
review text: For tip stress an asymptotic analysis is provided under the assumption of an elastic power-law hardening material. Stress function is presented in the form \(\varphi=\sigma_ 0\sum^ 5_{i=1}K_ ir^{s_ i+2}\tilde\varphi_ i(\theta)\), where \(s_ 1<s_ 2\ldots<s_ 5\); \(s_ 1,\ldots,s_ 5\) are referred to as the stress exponents, and the effective stress is defined as follows: \(\sigma^ 2_ e={3\over 4}(\sigma_ r-\sigma_ \theta)^ 2+3\tau^ 2_{r\theta}\). The high order field solutions are analyzed in detail.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 399395
zbMATH Keywords: tip stress
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: effective stress
zbMATH Keywords: high order field
reviewed by: Jozef Golecki
MaRDI profile type: Publication
OpenAlex ID: W1988572929
cites work: Singular behaviour at the end of a tensile crack in a hardening material
cites work: Plane strain deformation near a crack tip in a power-law hardening material
cites work: Determination of higher-order terms in asymptotic elastoplastic crack tip solutions
cites work: High-order asymptotic analysis for the crack in nonlinear material
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description: scientific article; zbMATH DE number 399395