Finite element error estimation for crack tip singular elements
type: Item
instance of: scholarly article
title: Finite element error estimation for crack tip singular elements
zbMATH Open document ID: 0781.73066
DOI: 10.1016/0168-874X(93)90076-3
author: K. Jayaswal
author: Ian R. Grosse
published in: Finite Elements in Analysis and Design
publication date: 1994-01-06T00:00:00Z
review text: A stress-based finite element error estimator is proposed for fracture mechanics analysis involving singular isoparametric crack tip finite elements. In the crack tip region the discretization error is estimated by the \(L_ 2\) integral norm of the difference between the finite element effective stress function and the known asymptotic effective stress function derived from the Westergaard solution. In the remaining portion of the domain, the \(L_ 2\) element error norm is based on the difference between the discontinuous finite element effective stress function and the \(C^ 0\) continuous ``smoothed'' effective stress function. Numerical convergence studies are presented for the classical edge crack mode I problem with six different singular and nonsingular element formulations at the crack tip region.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 473207
zbMATH Keywords: six-noded triangular elements
zbMATH Keywords: monotonic convergence
zbMATH Keywords: eight-noded quadrilateral elements
zbMATH Keywords: Zienkiewicz and Zhu error estimator
zbMATH Keywords: integral norm
zbMATH Keywords: finite element effective stress function
zbMATH Keywords: asymptotic effective stress function
zbMATH Keywords: Westergaard solution
zbMATH Keywords: edge crack mode I problem
MaRDI profile type: Publication
full work available at URL: 0168-874x(93)90076-3
OpenAlex ID: W2040784897
description: scientific article; zbMATH DE number 473207