BIBLIOS

Document type
Journal articles

Document subtype
Full paper

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

Participants in the publication
Pedro R.S. Antunes (Author)
Dep. Matemática
GFMUL
Cristian Barbarosie (Author)
Dep. Matemática
CMAFcIO
Anca-Maria Toader (Author)
Dep. Matemática
CMAFcIO

Summary
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.


Where published
Journal of Computational Physics

Publication Identifiers
ISSN - 0021-9991

Publisher
Elsevier BV



Document Identifiers
DOI - https://doi.org/10.1016/j.jcp.2016.12.044
URL - http://dx.doi.org/10.1016/j.jcp.2016.12.044

Rankings
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