Numerical analysis of blunting of a crack tip in a ductile material under small-scale yielding and mixed mode loading
type: Item
instance of: scholarly article
title: Numerical analysis of blunting of a crack tip in a ductile material under small-scale yielding and mixed mode loading
zbMATH Open document ID: 0614.73102
DOI: 10.1007/BF00298635
author: Yanyan Li
published in: Computational Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The blunting of the tip of a crack in a ductile material is analysed under the conditions of plane strain, small-scale yielding, and mixed mode loading of Modes I and II. The material is assumed to be an elastic- perfectly plastic solid with Poisson's ratio being 1/2. The stress and strain fields for a sharp crack under mixed mode loading are first determined by means of elastic-plastic finite element analysis. It is shown that only one elastic sector exists around the crack tip, in contrast with the possibility of existence of two elastic sectors as discussed by \textit{Yuchen Gao} [e.g. Acta Mech. Sin. 1980, 48-56 (1980; Zbl 0444.73083)]. The results obtained for a sharp crack are used as the boundary conditions for the subsequent numerical analysis of crack tip blunting under mixed mode loading, based on slip line theory. The characteristic shapes of the blunted crack tip are obtained for a wide range of Mode I and Mode II combinations, and found to resemble the tip of Japanese sword. Also the stress field around the blunted crack tip is determined.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 3995230
zbMATH Keywords: blunting
zbMATH Keywords: plane strain
zbMATH Keywords: small-scale yielding
zbMATH Keywords: mixed mode loading
zbMATH Keywords: Modes I and II
zbMATH Keywords: elastic-perfectly plastic solid
zbMATH Keywords: stress and strain fields
zbMATH Keywords: sharp crack
zbMATH Keywords: elastic-plastic finite element analysis
zbMATH Keywords: slip line theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3995230