Orateur
Samuel Amstutz
Description
Joint work with Michael Gfrerer (TU Graz)
I will present a recent work dedicated to the topological sensitivity analysis for the linear Kirchhoff-Love shell model in the case of an elastic inclusion. It extends prior works on plates, but significant additional difficulties are due to curvature, in a more or less direct way. In particular, the coupling between the bending and in-plane deformations mixes first and second order derivatives of displacements. As one consequence, the computation of the polarization tensor is highly involved, and we are only able to obtain a closed formula at an umbilical point. I will present elements of asymptotic analysis, theoretical results and numerical validations.