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

Result code in 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>

Alternative codes found

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

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

Continuities

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

Publication year

2014

Confidentiality

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

Name of the periodical

Lecture Notes in Computational Science and Engineering. Volume 101

ISSN

1439-7358

e-ISSN

—

Volume of the periodical

101

Issue of the periodical within the volume

podzim 2014

Country of publishing house

GB - UNITED KINGDOM

Number of pages

24

Pages from-to

1-24

UT code for WoS article

—

EID of the result in the Scopus database

—