Identification of Contact Pressures in Two and Three-Dimensional Solid Bodies from Cauchy Data

摘要

This note deals with the identification of contact pressures in two and three-dimensional elastic bodies via two approaches relying on domain decomposition using electrostatic measurements. These approaches consist in recasting the problem in terms of primal or dual Steklov Poincar′e equations. The numerical performances of these formulations are compared. The proposed methods are applied to some inverse problems: the first application deals with the identification of a Hertizian contact pressures distribution, the second deals with the identification of the indentation pressure of a heterogeneous solid, and the third one with the identification of boundary data at the interface of a bonded structure.