Failure mitigation in optimal topology design using a coupled nonlinear continuum damage model

Kai A. James, Haim Waisman

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a novel framework for performing topology optimization of structures while accounting for material damage. A quasi-static non-local brittle damage model is coupled to a linear finite element analysis code for modeling the structural response and the initiation and propagation of damage. The optimization problem is parameterized using SIMP variables, and failure mitigation is achieved through the enforcement of constraints on the maximum local damage intensity. We derive a computationally efficient adjoint sensitivity formulation that accounts for the path-dependence of the coupled analysis problem. The algorithm is validated through a series of numerical examples.

Original languageEnglish (US)
Pages (from-to)614-631
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume268
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

Keywords

  • Continuum damage mechanics
  • Coupled adjoint sensitivity analysis
  • Topology optimization

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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