Shape Optimization in 2D Contact Problems with Given Friction and a Solution-Dependent Coefficient of Friction

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127026" target="_blank" >RIV/00216208:11320/12:10127026 - isvavai.cz</a>

Alternative codes found

RIV/67985556:_____/12:00377141

Result on the web

<a href="http://dx.doi.org/10.1007/s11228-011-0179-7" target="_blank" >http://dx.doi.org/10.1007/s11228-011-0179-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11228-011-0179-7" target="_blank" >10.1007/s11228-011-0179-7</a>

Result language

angličtina

Original language name

Shape Optimization in 2D Contact Problems with Given Friction and a Solution-Dependent Coefficient of Friction

Original language description

The paper deals with shape optimization of elastic bodies in unilateral contact. The aim is to extend the existing results to the case of contact problems, where the coefficient of friction depends on the solution. We consider the two-dimensional Signorini problem, coupled with the physically less accurate model of given friction, but assume a solution-dependent coefficient of friction. First, we investigate the shape optimization problem in the continuous, infinite-dimensional setting, followed by a suitable finite-dimensional approximation based on the finite-element method. Convergence analysis is presented as well. Next, an algebraic form of the state problem is studied, which is obtained from the discretized problem by further approximating the frictional term by a quadrature rule. It is shown that if the coefficient of friction is Lipschitz continuous with a sufficiently small modulus, then the algebraic state problem is uniquely solvable and its solution is a Lipschitz continuou

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100750802" target="_blank" >IAA100750802: Nonsmooth and set-valued analysis in mechanics and thermomechanics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Set-Valued and Variational Analysis

ISSN

1877-0533

e-ISSN

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Volume of the periodical

20

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

29

Pages from-to

31-59

UT code for WoS article

000299962100003

EID of the result in the Scopus database

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