The Topological Asymptotic for PDE Systems: The Elasticity Case

  • Garreau S
  • Guillaume P
  • Masmoudi M
  • 37

    Readers

    Mendeley users who have this article in their library.
  • 266

    Citations

    Citations of this article.

Abstract

The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a design functional with respect to the creation of a small hole. In this paper, such an expansion is obtained and analyzed in the context of linear elasticity for general functionals and arbitrary shaped holes by using an adaptation of the adjoint method and a domain truncation technique. The method is general and can be easily adapted to other linear PDEs and other types of boundary conditions.

Author-supplied keywords

  • 49q10
  • 49q12
  • 74p05
  • 74p10
  • 74p15
  • ams subject classifications
  • compliance
  • design sensitiv
  • elasticity
  • ity
  • pii
  • s0363012900369538
  • shape optimization
  • topological derivative
  • topological sensitivity

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Stéphane Garreau

  • Philippe Guillaume

  • Mohamed Masmoudi

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free