On the collapse solution in limit analysis
type: Item
instance of: scholarly article
title: On the collapse solution in limit analysis
zbMATH Open document ID: 0584.73036
DOI: 10.1007/BF00276859
author: Edmund Christiansen
published in: Archive for Rational Mechanics and Analysis
publication date: 1985-01-01T00:00:00Z
review text: A rigid-ideal-plastic body is subject to prescribed displacements of one part of the boundary and to prescribed tractions at the other part of the boundary. Furthermore the distribution of body forces is given. Surface tractions and body forces depend on the same parameter \(\lambda\). The problem is to find the limit load carrying factor \(\lambda_ 0\). Based on dual (static and kinematic) formulation of the problem the existence and regularity of collapse solutions is examined by defining a generalized Green formula.
Mathematics Subject Classification ID: 74R20
zbMATH DE Number: 3936624
zbMATH Keywords: rigid-ideal-plastic body
zbMATH Keywords: prescribed displacements
zbMATH Keywords: one part of the boundary
zbMATH Keywords: prescribed tractions
zbMATH Keywords: other part of the boundary
zbMATH Keywords: distribution of body forces is given
zbMATH Keywords: limit load carrying factor
zbMATH Keywords: dual (static and kinematic) formulation
zbMATH Keywords: existence
zbMATH Keywords: regularity of collapse solutions
zbMATH Keywords: generalized Green formula
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3936624