Asymptotic fields in steady crack growth with linear strain-hardening
type: Item
instance of: scholarly article
title: Asymptotic fields in steady crack growth with linear strain-hardening
zbMATH Open document ID: 0601.73101
DOI: 10.1016/0022-5096(87)90037-8
published in: Journal of the Mechanics and Physics of Solids
publication date: 1987-01-01T00:00:00Z
review text: The asymptotic stress and velocity fields of a crack propagating steadily and quasi-statically into an elastic-plastic material are presented. The material is characterized by \(J_ 2\)-flow theory with linear strain hardening. The possibility of reloading on the crack flanks is taken into account. The cases of anti-plane strain (mode III), plane strain (modes I and II), and plane stress (modes I and II) are considered. Numerical results are given for the strength of the singularity and for the distribution of the stress and velocity fields in the plastic loading, elastic unloading and plastic reloading regions, as functions of the strain hardening parameter. An attempt is made to make a connection with the perfectly-plastic solutions in the limit of vanishing strain- hardening.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 3970257
zbMATH Keywords: asymptotic stress and velocity fields
zbMATH Keywords: propagating steadily
zbMATH Keywords: quasi- statically
zbMATH Keywords: elastic-plastic material
zbMATH Keywords: \(J_ 2\)-flow theory
zbMATH Keywords: linear strain hardening
zbMATH Keywords: reloading on the crack flanks
zbMATH Keywords: anti-plane strain
zbMATH Keywords: mode III
zbMATH Keywords: modes I and II
zbMATH Keywords: plane stress
zbMATH Keywords: strength of the singularity
zbMATH Keywords: distribution of the stress and velocity fields
zbMATH Keywords: plastic loading
zbMATH Keywords: elastic unloading
zbMATH Keywords: plastic reloading regions
author: Pedro Ponte Castañeda
MaRDI profile type: Publication
full work available at URL: 0022-5096(87)90037-8
OpenAlex ID: W2054560021
cites work: Crack-tip fields in steady crack-growth with linear strain-hardening
cites work: Elastic-plastic mechanics of steady crack growth under anti-plane shear
cites work: Asymptotic analysis of growing plane strain tensile cracks in elastic- ideally plastic solids
cites work: Effect of yield surface vertex on crack-tip fields in mode III
cites work: Q3927181
description: scientific article; zbMATH DE number 3970257