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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/67985556:_____/12:00377141

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/IAA100750802" target="_blank" >IAA100750802: Metody nehladké a mnohoznačné analýzy v mechanice a termomechanice</a><br>

Návaznosti

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

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Set-Valued and Variational Analysis

ISSN

1877-0533

e-ISSN

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Svazek periodika

20

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

29

Strana od-do

31-59

Kód UT WoS článku

000299962100003

EID výsledku v databázi Scopus

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