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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:333

Article

Antunes, Pedro R. S.¹  Barbarosie, Cristian²  Toader, Anca-Maria² 

[1] Univ Lisbon, Fac Ciencias, Grp Fis Matemat, Edificio C6, P-1749017 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, CMAF CIO, Edificio C6,Piso 1, P-1749016 Lisbon, Portugal

关键词: Inverse problem;    Shape optimization;    Eigenvalue problem;    Linear elasticity;    Adjoint method;    Method of fundamental solutions;   

DOI  :  10.1016/j.jcp.2016.12.044

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free