An algorithm for the numerical realization of 3D

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F04%3A00009219" target="_blank" >RIV/61989100:27240/04:00009219 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

An algorithm for the numerical realization of 3D

Popis výsledku v původním jazyce

This contribution deals with the numerical realization of static contact problems with Coulomb friction for 3D elastic bodies. We first introduce auxiliary contact problems with given friction which define a mapping (Phi) associating with a given slipbound the normal contact stress in the equilibrium state. Solutions to contact problems with Coulomb friction are defined as fixed points of (Phi) and are computed by using the method of successive approximations. The mathematical model of contact problems with given friction leads to a variational inequality of the second kind. Its discretization is based on the so-called reciprocal variational formulation, i.e. the formulation in terms of the normal and tangential components of stresseson the contact boundary. Unlike the 2D case, constraints imposed on the tangential components of contact stresses are quadratic. The main goal of this contribution is to show how to solve this problem by using existing fast algorithms for simple (bo

Název v anglickém jazyce

An algorithm for the numerical realization of 3D

Popis výsledku anglicky

This contribution deals with the numerical realization of static contact problems with Coulomb friction for 3D elastic bodies. We first introduce auxiliary contact problems with given friction which define a mapping (Phi) associating with a given slipbound the normal contact stress in the equilibrium state. Solutions to contact problems with Coulomb friction are defined as fixed points of (Phi) and are computed by using the method of successive approximations. The mathematical model of contact problems with given friction leads to a variational inequality of the second kind. Its discretization is based on the so-called reciprocal variational formulation, i.e. the formulation in terms of the normal and tangential components of stresseson the contact boundary. Unlike the 2D case, constraints imposed on the tangential components of contact stresses are quadratic. The main goal of this contribution is to show how to solve this problem by using existing fast algorithms for simple (bo

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/GA101%2F01%2F0538" target="_blank" >GA101/01/0538: Vývoj a implementace paralelních algoritmů pro 3D kontaktní úlohy s třením a kontaktní tvarovou optimalizaci</a><br>

Návaznosti

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

Rok uplatnění

2004

Kód důvěrnosti údajů

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

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

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Svazek periodika

Neuveden

Číslo periodika v rámci svazku

164-165

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

2

Strana od-do

387-408

Kód UT WoS článku

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EID výsledku v databázi Scopus

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