Numerical methods for the study of localization in elastoplastic solids
type: Item
instance of: scholarly article
title: Numerical methods for the study of localization in elastoplastic solids
zbMATH Open document ID: 0823.73018
DOI: 10.1016/0093-6413(94)90073-6
author: Giancarlo Losi
published in: Mechanics Research Communications
publication date: 1994-11-17T00:00:00Z
review text: A numerical method dealing with the bifurcation problem is presented. The method is different from the standard approach of considering the singularity of the acoustic tensor as it is based on an approach that involves the detection of the onset of strain discontinuities. The cases for pure elastic loading and plastic loading/elastic unloading are analyzed. The constitutive tensors are represented through square matrices to facilitate engineering analyses. The new approach shows that the bifurcation of an elastoplastic solid can be easily analyzed even if the normality of the plasticity laws is not preserved. The method also indicates a potential loss of uniqueness of the solution under loading/unloading conditions.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 687973
zbMATH Keywords: bifurcation problem
zbMATH Keywords: onset of strain discontinuities
zbMATH Keywords: elastic loading
zbMATH Keywords: plastic loading/elastic unloading
zbMATH Keywords: constitutive tensors
zbMATH Keywords: square matrices
zbMATH Keywords: loss of uniqueness
reviewed by: Vinod K. Arya
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90073-6
OpenAlex ID: W2092886535
description: scientific article; zbMATH DE number 687973