On structural topology optimization considering material nonlinearity: Plane strain versus plane stress solutions

Heng Chi, Davi L. Ramos, Adeildo S. Ramos, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We present a structural topology optimization framework considering material nonlinearity by means of a tailored hyperelastic formulation. The nonlinearity is incorporated through a hyperelastic constitutive model, which is capable of capturing a range of nonlinear material behavior under both plane strain and plane stress conditions. We explore both standard (i.e. quadrilateral) and polygonal finite elements in the solution process, and achieve smooth convergence in both the optimization process and the solution of nonlinear state equations. Numerical examples are presented, which demonstrate that the topology optimization framework can effectively capture the influence of various material behaviors, load levels and loading conditions (i.e. plane stress versus plane strain) on the optimal topologies.

Original languageEnglish (US)
Pages (from-to)217-231
Number of pages15
JournalAdvances in Engineering Software
Volume131
DOIs
StatePublished - May 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Software
  • General Engineering

Keywords

  • Material nonlinearity
  • Ogden-based model
  • Plane strain
  • Plane stress
  • Topology optimization

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