Structural topology optimization in linear and nonlinear elasticity using a discontinuous Galerkin finite element method

  • Yixin Tan
  • , Lingkang Yan
  • , Shengfeng Zhu*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A discontinuous Galerkin finite element method is developed for structural topology optimization with the level set method. The discontinuous Galerkin finite element method is employed to discretize and solve both the elasticity system, possible adjoint, and the transport equation of the level set function. Structural compliance and compliant mechanisms are considered for linear and nonlinear elastic structures. Numerical examples are provided to verify the effectiveness of the algorithm presented.

Original languageEnglish
Pages (from-to)283-315
Number of pages33
JournalControl and Cybernetics
Volume53
Issue number1
DOIs
StatePublished - Mar 2024

Keywords

  • compliance
  • compliant mechanism
  • discontinuous Galerkin finite element method
  • level set method
  • nonlinear elasticity
  • topology optimization

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