On topological derivatives for contact problems in elasticity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00443130" target="_blank" >RIV/67985840:_____/15:00443130 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10957-014-0594-7" target="_blank" >http://dx.doi.org/10.1007/s10957-014-0594-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10957-014-0594-7" target="_blank" >10.1007/s10957-014-0594-7</a>
Alternative languages
Result language
angličtina
Original language name
On topological derivatives for contact problems in elasticity
Original language description
In this article, a general method for shape-topology sensitivity analysis of contact problems is proposed. The method uses domain decomposition combined with specific properties of minimizers for the energy functional. The method is applied to the staticproblem of an elastic body in frictionless contact with a rigid foundation. The contact model allows a small interpenetration of the bodies in the contact region. This interpenetration is modeled by means of a scalar function that depends on the normalcomponent of the displacement field on the potential contact zone. We present the asymptotic behavior of the energy shape functional when a spheroidal void is introduced at an arbitrary point of the elastic body. The differentiability of the energy withrespect to the nonsmooth perturbation is established, and the topological derivative is presented in the closed form.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Optimization Theory and Applications
ISSN
0022-3239
e-ISSN
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Volume of the periodical
165
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
279-294
UT code for WoS article
000352114400014
EID of the result in the Scopus database
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