Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes

Antunes, Pedro R. S.; Barbarosie, Cristian; Toader, Anca-Maria

http://hdl.handle.net/10400.2/7075

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Authors

Antunes, Pedro R. S.

Barbarosie, Cristian

Toader, Anca-Maria

Abstract(s)

We consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes. We use the adjoint method to calculate the shape derivative of this functional. The optimization is performed by BFGS, using a genetic algorithm as a preprocessor and the Method of Fundamental Solutions as a solver for the direct problem. We address several numerical simulations that illustrate the good performance of the method.