A finite element procedure for plane strain metal flow within specified plastic boundaries
type: Item
instance of: scholarly article
title: A finite element procedure for plane strain metal flow within specified plastic boundaries
zbMATH Open document ID: 0607.73044
DOI: 10.1016/0045-7825(87)90121-6
author: Jinshu Xu
author: B. Tabarrok
author: Robert G. Fenton
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: A new set of two governing equations are developed for analyzing two- dimensional plane strain plasticity problems. Two sets of stress components are introduced - one set satisfying the equilibrium equations and the second ensuring that the yield criterion is satisfied. The differences between these two sets of stress components constitute the approximation errors. Using the method of least squares a simple triangular finite element method is developed by means of which the differences between the two sets of stress components are minimized. The formulation and the element developed are verified by analyzing three metal forming examples. Results computed with the proposed method correlate well with the exact solution of one example, and with the classical slip-line fields solutions of the other two examples.
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 3982648
zbMATH Keywords: set of two governing equations
zbMATH Keywords: two-dimensional plane strain plasticity problems
zbMATH Keywords: two sets of stress components
zbMATH Keywords: equilibrium equations
zbMATH Keywords: yield criterion
zbMATH Keywords: method of least squares
zbMATH Keywords: triangular finite element model
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90121-6
OpenAlex ID: W2047450144
cites work: Q3960233
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description: scientific article; zbMATH DE number 3982648