Publicação
Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
| Resumo: | 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. |
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| Autores principais: | Antunes, Pedro R. S. |
| Outros Autores: | Barbarosie, Cristian; Toader, Anca-Maria |
| Assunto: | Inverse problem Shape optimization Eigenvalue problem Linear elasticity Adjoint method Method of fundamental solutions |
| Ano: | 2017 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade Aberta |
| Idioma: | inglês |
| Origem: | Repositório Aberto da Universidade Aberta |
| Resumo: | 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. |
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