Numerical solution of 2D contact shape optimization problems involving a solution-dependent coefficient of friction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F14%3A86092113" target="_blank" >RIV/61989100:27240/14:86092113 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/14:86092113 RIV/61989100:27600/14:86092113

Výsledek na webu

<a href="http://link.springer.com/chapter/10.1007/978-3-319-08025-3_1" target="_blank" >http://link.springer.com/chapter/10.1007/978-3-319-08025-3_1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-08025-3" target="_blank" >10.1007/978-3-319-08025-3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical solution of 2D contact shape optimization problems involving a solution-dependent coefficient of friction

Popis výsledku v původním jazyce

This contribution deals with numerical solution of shape optimization problems in frictional contact mechanics. The state problem in our case is given by 2D static Signorini problems with Tresca friction and a solution-dependent coefficient of friction.A suitable Lipschitz continuity assumption on the coefficient of friction is made, ensuring unique solvability of the discretized state problems and Lipschitz continuity of the corresponding control-to-state mapping. The discrete shape optimization problem can be transformed into a nonsmooth minimization problem and handled by the bundle trust method. In each step of the method, the state problem is solved by the method of successive approximations and necessary subgradient information is computed usingthe generalized differential calculus of B. Mordukhovich.

Název v anglickém jazyce

Numerical solution of 2D contact shape optimization problems involving a solution-dependent coefficient of friction

Popis výsledku anglicky

This contribution deals with numerical solution of shape optimization problems in frictional contact mechanics. The state problem in our case is given by 2D static Signorini problems with Tresca friction and a solution-dependent coefficient of friction.A suitable Lipschitz continuity assumption on the coefficient of friction is made, ensuring unique solvability of the discretized state problems and Lipschitz continuity of the corresponding control-to-state mapping. The discrete shape optimization problem can be transformed into a nonsmooth minimization problem and handled by the bundle trust method. In each step of the method, the state problem is solved by the method of successive approximations and necessary subgradient information is computed usingthe generalized differential calculus of B. Mordukhovich.

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/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Lecture Notes in Computational Science and Engineering. Volume 101

ISSN

1439-7358

e-ISSN

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Svazek periodika

101

Číslo periodika v rámci svazku

podzim 2014

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

24

Strana od-do

1-24

Kód UT WoS článku

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EID výsledku v databázi Scopus

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