Some applications of the finite element method to nonlinear fracture mechanics
type: Item
instance of: scholarly article
title: Some applications of the finite element method to nonlinear fracture mechanics
zbMATH Open document ID: 0538.73101
DOI: 10.1016/0045-7825(85)90027-1
author: N. E. Zubov
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: In this study, a finite element method for analyzing the three- dimensional fully plastic solutions is developed, where a selective reduced integration/penalty function (SRI/PF) method is utilized for the treatment of the material incompressibility. After giving the outline of the solution method and demonstrating the accuracy of the present method through the calculations of the simple two-dimensional examples, the solutions for cylinders with a circumferential through-wall crack subjected to remote uniform tension are calculated for several values of the crack angle and the hardening exponent. Next, the solutions for a plate with a semi-elliptical surface crack under tension are analyzed. Finally, the solutions are applied to the stably growing crack in a Type 304 stainless steel pipe under tension.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3856582
zbMATH Keywords: three-dimensional fully plastic solutions
zbMATH Keywords: selective reduced integration/penalty function (SRI/PF) method
zbMATH Keywords: material incompressibility
zbMATH Keywords: accuracy
zbMATH Keywords: simple two-dimensional examples
zbMATH Keywords: cylinders
zbMATH Keywords: circumferential through-wall crack
zbMATH Keywords: remote uniform tension
zbMATH Keywords: several values of the crack angle and the hardening exponent
zbMATH Keywords: plate
zbMATH Keywords: semi-elliptical surface crack
zbMATH Keywords: stably growing crack
zbMATH Keywords: Type 304 stainless steel pipe
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90027-1
OpenAlex ID: W2067989006
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description: scientific article; zbMATH DE number 3856582