Meshless shape design sensitivity analysis and optimization for contact problem with friction
type: Item
instance of: scholarly article
title: Meshless shape design sensitivity analysis and optimization for contact problem with friction
zbMATH Open document ID: 0982.74053
author: N. Delaunay
published in: Computational Mechanics
publication date: 2002-04-08T00:00:00Z
review text: There is a huge literature on the numerical treatment of contact problems for elastic bodies. The present paper considers the contact between a rigid and a deformable body, taking friction into account when, during progressive penetration, interfacial slip occurs between surface elements at contact. The original constrained minimization problem is converted into a free minimum problem by adding a penalty term to the functional representing the total potential energy. The process of minimization is done step by step by considering the geometric changes of the deformable body at the end of each step. A numerical example, the penetration of a rigid door into a seal of rubber, illustrates the procedure. The authors, however, do not prove the convergence of the contact set to a well-defined region, since the shape of this contact set is, in general, unstable in problems posed in terms of variational inequalities.
reviewed by: Piero Villaggio
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74G65
zbMATH DE Number: 1471778
zbMATH Keywords: meshless shape design sensitivity analysis
zbMATH Keywords: unilateral contact
zbMATH Keywords: contact between rigid and deformable bodies
zbMATH Keywords: friction
zbMATH Keywords: progressive penetration
zbMATH Keywords: interfacial slip
zbMATH Keywords: constrained minimization problem
zbMATH Keywords: free minimum problem
zbMATH Keywords: penalty term
zbMATH Keywords: total potential energy
describes a project that uses: DOT
MaRDI profile type: Publication
full work available at URL: s004660050466
OpenAlex ID: W2121645048
DOI: 10.1007/S004660050466
description: scientific article; zbMATH DE number 1471778