Topological asymptotic analysis of the Kirchhoff plate bending problem
Samuel Amstutz, Antonio A. Novotny (2011)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been...