BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

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

Participantes na publicação
Pedro R.S. Antunes (Author)
Dep. Matemática
GFMUL
Cristian Barbarosie (Author)
Dep. Matemática
CMAFcIO
Anca-Maria Toader (Author)
Dep. Matemática
CMAFcIO

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.


Suporte
Journal of Computational Physics

Identificadores da Publicação
ISSN - 0021-9991

Editora
Elsevier BV



Identificadores do Documento
DOI - https://doi.org/10.1016/j.jcp.2016.12.044
URL - http://dx.doi.org/10.1016/j.jcp.2016.12.044

Identificadores de Qualidade
SCIMAGO Q1 (2017) - 2.047 - Computer Science Applications
Web Of Science Q2 (2017) - 2.864 - COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS - SCIE

Keywords
inverse problem shape optimization eigenvalue problem linear elasticity adjoint method method of fundamental solutions