Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach
type: Item
instance of: scholarly article
title: Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach
zbMATH Open document ID: 1387.35304
DOI: 10.4171/RLM/628
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2012-10-19T00:00:00Z
review text: Summary: The frictionless contact problems for two interacting hemitropic solids with different elastic properties is investigated under the condition of natural impenetrability of one medium into the other. We consider two cases, the so-called coercive case (when elastic media are fixed along some parts of their boundaries), and the semicoercive case (the boundaries of the interacting elastic media are not fixed). Using the potential theory we reduce the problems to the boundary variational inequalities and analyse the existence and uniqueness of weak solutions. In the semicoercive case, the necessary and sufficient conditions of solvability of the corresponding contact problems are written out explicitly.
Mathematics Subject Classification ID: 35J86
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 74A35
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 35J87
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6095897
zbMATH Keywords: hemitropic solids
zbMATH Keywords: Cosserat solids
zbMATH Keywords: frictionless contact
zbMATH Keywords: boundary variational inequality
author: Avtandil Gachechiladze
author: Roland Gachechiladze
author: D. Natroshvili
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/rlm/628
OpenAlex ID: W2045404240
description: scientific article; zbMATH DE number 6095897