Derivation of the variational inequalities and extremum principles of the frictionless elastic contact problem
type: Item
instance of: scholarly article
title: Derivation of the variational inequalities and extremum principles of the frictionless elastic contact problem
zbMATH Open document ID: 0557.73097
DOI: 10.1016/0045-7825(85)90004-0
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: For two contacting elastic bodies with arbitrary (sufficiently smooth) shapes the statical and kinematical conditions are established assuming small deformations and allowing the contact region to be large. From these ones the principles of virtual displacements and virtual force as well as the corresponding complementary variational principles are derived in two different versions: In the first one only integrals over the contact surfaces, in the second one also integrals over the volumes of both bodies are involved. Alternatively an equivalent derivation based on a mixed principle of virtual work and a saddle-type functional is presented. Several representations known in the literature are contained as special cases.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 3889078
zbMATH Keywords: arbitrary shapes
zbMATH Keywords: large contact region
zbMATH Keywords: sufficiently smooth
zbMATH Keywords: statical and kinematical conditions
zbMATH Keywords: small deformations
zbMATH Keywords: principles of virtual displacements
zbMATH Keywords: virtual force
zbMATH Keywords: complementary variational principles
zbMATH Keywords: integrals over the contact surfaces
zbMATH Keywords: integrals over the volumes
zbMATH Keywords: mixed principle of virtual work and a saddle-type functional
author: Hans Bufler
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90004-0
OpenAlex ID: W2015210736
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description: scientific article; zbMATH DE number 3889078