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

Result code in 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>
Alternative codes found
RIV/61989100:27740/15:86091106 RIV/61989100:27230/15:86091106
Result on the web
<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>

Result language
angličtina
Original language name
On solution of 3D contact shape optimization problems with Coulomb friction based on domain decomposition
Original language description
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
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
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
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e-ISSN
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Number of pages
6
Pages from-to
465-470
Publisher name
IDMEC - Instituto de Engenharia Mecanica
Place of publication
Lisboa
Event location
Lisabon
Event date
Sep 8, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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