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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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