Sensitivity analysis of contact problems with prescribed friction
type: Item
instance of: scholarly article
title: Sensitivity analysis of contact problems with prescribed friction
zbMATH Open document ID: 0651.73050
DOI: 10.1007/BF01443617
published in: Applied Mathematics and Optimization
publication date: 1988-01-01T00:00:00Z
review text: The aim of this important paper is to study the sensitivity analysis of a class of variational inequalities arising in the mathematical modeling of the contact of an elastic body with a rigid foundation. The main result is that the sensitivity coefficient of the response of the elastic body with respect to the perturbations of the load is derived in the form of a unique solution of an auxiliary contact problem. Moreover the results can be used in numerical methods for optimal design of elastic structures, in particular in the domain of shape optimization.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 4062715
zbMATH Keywords: plane elastic solids
zbMATH Keywords: rigid foundation
zbMATH Keywords: perturbations of the load
zbMATH Keywords: unique solution
zbMATH Keywords: auxiliary contact problem
zbMATH Keywords: optimal design
zbMATH Keywords: shape optimization
author: Jan Sokołowski
reviewed by: Jan Lovíšek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4062715