On solution of 3D 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%2F15%3A86091106" target="_blank" >RIV/61989100:27240/15:86091106 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/15:86091106 RIV/61989100:27230/15:86091106

Výsledek na webu

<a href="http://www.crcnetbase.com/doi/abs/10.1201/b17488-82" target="_blank" >http://www.crcnetbase.com/doi/abs/10.1201/b17488-82</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1201/b17488-82" target="_blank" >10.1201/b17488-82</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On solution of 3D contact shape optimization problems with Coulomb friction based on domain decomposition

Popis výsledku v původním jazyce

The paper deals with discretized problem of 3D contact shape optimization with Coulomb friction. It is shown that for sufficiently small coefficients of friction the discretized contact problem with Coulomb friction has a unique solution and the state variables are Lipschitzian functions of the design variables describing the shape of the elastic body. The uniqueness of the solution of the 3D contact problem for fixed design variables enables us to apply the so-called implicit programming approach. Itsmain idea consists in minimization of a nondifferentiable (nonsmooth) composite function generated by the objective function and the (single-valued) control-state mapping. For the solution of this nonsmooth problem we use our Matlab implementation of bundle trust method proposed by citeN{SchZow92}. In each step of the iteration process, we must be able to find the solution of the state problem (3D contact problem with Coulomb friction) and to compute one arbitrary Clarke subgradient. To

Název v anglickém jazyce

On solution of 3D contact shape optimization problems with Coulomb friction based on domain decomposition

Popis výsledku anglicky

The paper deals with discretized problem of 3D contact shape optimization with Coulomb friction. It is shown that for sufficiently small coefficients of friction the discretized contact problem with Coulomb friction has a unique solution and the state variables are Lipschitzian functions of the design variables describing the shape of the elastic body. The uniqueness of the solution of the 3D contact problem for fixed design variables enables us to apply the so-called implicit programming approach. Itsmain idea consists in minimization of a nondifferentiable (nonsmooth) composite function generated by the objective function and the (single-valued) control-state mapping. For the solution of this nonsmooth problem we use our Matlab implementation of bundle trust method proposed by citeN{SchZow92}. In each step of the iteration process, we must be able to find the solution of the state problem (3D contact problem with Coulomb friction) and to compute one arbitrary Clarke subgradient. To

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

EngOpt 2014 4th International Conference on Engineering Optimization : book of abstracts : 8-11 September 2014, Instituto Superior Tecnico, Lisboa, Portugal

ISBN

978-989-96276-6-6

ISSN

—

e-ISSN

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Počet stran výsledku

6

Strana od-do

465-470

Název nakladatele

IDMEC - Instituto de Engenharia Mecanica

Místo vydání

Lisboa

Místo konání akce

Lisabon

Datum konání akce

8. 9. 2014

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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