An elastic-plastic finite element solution for a cracked plate
type: Item
instance of: scholarly article
title: An elastic-plastic finite element solution for a cracked plate
zbMATH Open document ID: 0601.73069
DOI: 10.1016/0168-874X(86)90024-7
author: James G. Malone
author: Philip G. jun. Hodge
author: Robert L. Plunkett
published in: Finite Elements in Analysis and Design
publication date: 1986-01-01T00:00:00Z
review text: In this paper, the finite element method is applied to a center-cracked plate subject to opening mode tensile loading. A complete elastic-plastic plane-stress solution for strain hardening materials obeying a Von Mises yield condition and Prandtl-Reuss stress-strain relations is obtained using only constant strain elements. An accurate representation of the stress-strain field even at distances very close to the crack-tip, is achieved by the use of a mesh arrangement in which the size of the elements decreases in a geometric series as the crack tip is approached. The numerical solution is compared with and used to discuss the range of validity of the well-known HRR (Hutchinson-Rice-Rosengren) crack tip solution valid for small scale yielding. The influence of different amounts of hardening and the effect of changes in the mesh arrangements are also considered. Features of the finite element algorithm which reduce the total computing time are discussed. The finite element program is executed on a CRAY-1 computer and the effect of vectorization on computational speed is discussed for this problem.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 3970225
zbMATH Keywords: center-cracked plate
zbMATH Keywords: opening mode tensile loading
zbMATH Keywords: complete elastic- plastic plane-stress solution
zbMATH Keywords: strain hardening materials
zbMATH Keywords: Von Mises yield condition
zbMATH Keywords: Prandtl-Reuss stress-strain relations
zbMATH Keywords: (Hutchinson-Rice- Rosengren) crack tip solution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3970225