On the existence of optimal shapes in contact problems - Perfectly plastic bodies
type: Item
instance of: scholarly article
title: On the existence of optimal shapes in contact problems - Perfectly plastic bodies
zbMATH Open document ID: 0607.73106
published in: Computational Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The optimal shape design of a two-dimensional elastic perfectly plastic body (a punch) on a rigid frictionless foundation is analysed. The problem is to find the boundary part of the body where the unilateral boundary conditions are assumed in such a way that certain energy integral of the system in the equilibrium will be minimized. It is assumed that the material of the body is elastic perfectly plastic, obeying the Henckys law. The variational formulation in terms of stresses is utilized. The existence of optimal shapes is proved.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3982710
zbMATH Keywords: existence
zbMATH Keywords: optimal shape design
zbMATH Keywords: two-dimensional elastic perfectly plastic body
zbMATH Keywords: punch
zbMATH Keywords: rigid frictionless foundation
zbMATH Keywords: unilateral boundary conditions
zbMATH Keywords: system in equilibrium
zbMATH Keywords: elastic perfectly plastic
zbMATH Keywords: Henckys law
zbMATH Keywords: minimized energy integral
author: Jaroslav Haslinger
author: P. Neittaanmäki
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3982710