Symmetric weak-form integral equation method for three-dimensional fracture analysis
type: Item
instance of: scholarly article
title: Symmetric weak-form integral equation method for three-dimensional fracture analysis
zbMATH Open document ID: 0906.73074
DOI: 10.1016/S0045-7825(97)00199-0
author: K. Appert
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1999-02-16T00:00:00Z
review text: A symmetric Galerkin boundary element method is developed for the analysis of linearly elastic isotropic three-dimensional solids containing fractures. The formulation is based upon a weak-form displacement integral equation and a weak-form traction integral equation. These integral equations are only weakly singular, and their validity requires only that the boundary displacement data are continuous, hence, allowing standard \(C^0\) elements to be employed. As part of the numerical implementation, a special crack-tip element is developed which has a feature in that there exist degrees of freedom associated with the nodes at the crack front.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 1210871
zbMATH Keywords: Galerkin boundary element method
zbMATH Keywords: linearly elastic isotropic three-dimensional solids
zbMATH Keywords: displacement integral equation
zbMATH Keywords: traction integral equation
zbMATH Keywords: crack-tip element
MaRDI profile type: Publication
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full work available at URL: s0045-7825(97)00199-0
OpenAlex ID: W2037361571
description: scientific article; zbMATH DE number 1210871