Topology optimization for effective energy propagation in rate-independent elastoplastic material systems

P. B. Nakshatrala, D. A. Tortorelli

Research output: Contribution to journalArticlepeer-review

Abstract

A topology optimization framework for effective energy management in dynamically loaded structures with rate-independent elastoplastic material behavior is presented. The elastoplastic constitutive equations are integrated using an implicit numerical scheme based on a multi-level Newton procedure. This primal analysis procedure requires the computation of the incremental algorithmic consistent tangent operator derived from the mappings that enforce the evolving constitutive relations. For our gradient based optimization, we develop discrete adjoint sensitivity expressions. Finite element implementation is discussed and the optimization framework is exemplified via the design of three-dimensional structures subjected to dynamic loads.

Original languageEnglish (US)
Pages (from-to)305-326
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume295
DOIs
StatePublished - Oct 1 2015

Keywords

  • Algorithmic consistent tangent operator
  • Discrete adjoint sensitivity analysis
  • Elastoplastic material response
  • Topology optimization

ASJC Scopus subject areas

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

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