An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh

Kai A. James, Joaquim R.R.A. Martins

Research output: Contribution to journalArticlepeer-review

Abstract

We present a new method for performing level set topology optimization of structures confined to irregularly-shaped physical domains. The shape sensitivities are computed in physical space using a body-fitted, non-uniform finite-element mesh. These values are then mapped to the Euclidean computational space using the Jacobian matrix of the isoparametric transformation taking place within each cell. The method is demonstrated on a three-dimensional problem in which we minimize the compliance of a contoured wingbox structure. Results show that the method converges consistently, and generates solutions comparable to those obtained using the SIMP method.

Original languageEnglish (US)
Pages (from-to)97-106
Number of pages10
JournalComputers and Structures
Volume90-91
Issue number1
DOIs
StatePublished - Jan 2012
Externally publishedYes

Keywords

  • Body-fitted mesh
  • Finite element analysis
  • Isoparametric finite elements
  • Level set method
  • Topology optimization

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Fingerprint Dive into the research topics of 'An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh'. Together they form a unique fingerprint.

Cite this