On perfect stress field at a mixed-mode crack tip under plane and anti-plane strain
type: Item
instance of: scholarly article
title: On perfect stress field at a mixed-mode crack tip under plane and anti-plane strain
zbMATH Open document ID: 0664.73074
DOI: 10.1007/BF02482692
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: In the work of \textit{Lin Baisong} [(*) ibid. 6, 915--922 (1985; Zbl 0588.73172)], under the condition that all the perfectly plastic stress components at a crack tip are functions of \(\theta\) only, making use of equilibrium equations, stress-strain rate relations, compatibility equations and yield conditions, and the general analytical expressions of the perfectly plastic stress field at a mixed-mode crack tip under plane and anti-plane strain were derived. But in (*) several restrictions on the proportionality factor \(\lambda\) in the stress-strain rate relations were given, such as supposing that \(\lambda\) is independent of \(\theta\) and that \(\lambda =c\) or \(cr^{-1}\). In this paper, we abolish these restrictions. The cases in (*), \(\lambda =cr^ n(n=0\) or -1) are the special cases of this paper.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 4087199
zbMATH Keywords: perfectly plastic stress components
zbMATH Keywords: crack tip
zbMATH Keywords: equilibrium equations
zbMATH Keywords: stress-strain rate relations
zbMATH Keywords: compatibility equations
zbMATH Keywords: plane and anti-plane strain
author: Yi-Wu Yuan
MaRDI profile type: Publication
cites work: Perfectly plastic stress field at a mixed-mode crack tip under plane and anti-plane strain
description: scientific article; zbMATH DE number 4087199