Parallel solution of contact shape optimization problems with Coulomb friction based on domain decomposition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86084140" target="_blank" >RIV/61989100:27240/12:86084140 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/12:86084140

Výsledek na webu

<a href="http://dx.doi.org/10.2495/HPSM120251" target="_blank" >http://dx.doi.org/10.2495/HPSM120251</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2495/HPSM120251" target="_blank" >10.2495/HPSM120251</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Parallel solution of contact shape optimization problems with Coulomb friction based on domain decomposition

Popis výsledku v původním jazyce

We shall first briefly review the FETI based domain decomposition methodology adapted to the solution of multibody contact problems in 3D with Coulomb friction. These problems play a role of the state problem in contact shape optimization problems with Coulomb friction. We use a modification of FETI that we call Total FETI, which imposes not only the compatibility of a solution across the subdomain interfaces, but also the prescribed displacements. For solving a state problem we use the method of successive approximations. Each iterative step of the method requires us to solve the contact problem with Tresca friction. The discretized problem with Coulomb friction has a unique solution for small coefficients of friction. The uniqueness of the equilibriafor fixed controls enables us to apply the so-called implicit programming approach. Its main idea consists in minimization of a nonsmooth composite function generated by the objective and the control-state mapping. The implicit programmi

Název v anglickém jazyce

Parallel solution of contact shape optimization problems with Coulomb friction based on domain decomposition

Popis výsledku anglicky

We shall first briefly review the FETI based domain decomposition methodology adapted to the solution of multibody contact problems in 3D with Coulomb friction. These problems play a role of the state problem in contact shape optimization problems with Coulomb friction. We use a modification of FETI that we call Total FETI, which imposes not only the compatibility of a solution across the subdomain interfaces, but also the prescribed displacements. For solving a state problem we use the method of successive approximations. Each iterative step of the method requires us to solve the contact problem with Tresca friction. The discretized problem with Coulomb friction has a unique solution for small coefficients of friction. The uniqueness of the equilibriafor fixed controls enables us to apply the so-called implicit programming approach. Its main idea consists in minimization of a nonsmooth composite function generated by the objective and the control-state mapping. The implicit programmi

Druh

D - Stať ve sborníku

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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

WIT Transactions on the Built Environment

ISBN

978-1-84564-596-0

ISSN

1743-3509

e-ISSN

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Počet stran výsledku

11

Strana od-do

285-295

Název nakladatele

WIT Press

Místo vydání

Southampton

Místo konání akce

New Forest

Datum konání akce

19. 6. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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