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
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;
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
DOI :
10.1109/MMAR.2011.6031346