An algorithm for the numerical realization of 3D

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An algorithm for the numerical realization of 3D
Original language description
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
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA101%2F01%2F0538" target="_blank" >GA101/01/0538: Development and implementation of parallel algorithms for 3D contact problems with friction and contact shape optimization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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