• DocumentCode
    3466279
  • Title

    Topological derivatives for contact problems in ℝ3

  • Author

    Sokolowski, John ; Zochowski, Antoni

  • Author_Institution
    Lab. de Math., Univ. Henri Poincare Nancy 1, Vandoeuvre Lès Nancy, France
  • fYear
    2011
  • fDate
    22-25 Aug. 2011
  • Firstpage
    210
  • Lastpage
    213
  • Abstract
    Formulae for the first order expansions of the Steklov-Poincaré operators in the case of the Laplace operator and of the elasticity boundary value problems in singularly perturbed domains in ℝ3 are presented. Such expansions are required for the evaluation of topological derivatives of the energy shape functionals.
  • Keywords
    Poincare mapping; boundary-value problems; topology; ℝ3; Laplace operator; Steklov-Poincare operators; contact problems; elasticity boundary; energy shape functionals; first order expansions; topological derivatives; Boundary value problems; Elasticity; Harmonic analysis; Laplace equations; Polynomials; Shape;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on
  • Conference_Location
    Miedzyzdroje
  • Print_ISBN
    978-1-4577-0912-8
  • Type

    conf

  • DOI
    10.1109/MMAR.2011.6031346
  • Filename
    6031346
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3466279