Plastic work constrained elastoplastic topology optimization

Niklas Ivarsson, Mathias Wallin, Oded Amir, Daniel A. Tortorelli

Research output: Contribution to journalArticlepeer-review


An elastoplastic topology optimization framework for limiting plastic work generation while maximizing stiffness is presented. The kinematics and constitutive model are based on finite strain linear isotropic hardening plasticity, and the balance laws are solved using a total Lagrangian finite element formulation. Aggregation of the specific plastic work combined with an adaptive normalization scheme efficiently constrains the maximum specific plastic work. The optimization problem is regularized using an augmented partial differential equation filter, and is solved by the method of moving asymptotes where path-dependent sensitivities are derived using the adjoint method. The numerical examples show a clear dependence on the optimized maximum stiffness structures for different levels of constrained specific plastic work. It is also shown that due to the history dependency of the plasticity, the load path significantly influences the structural performance and optimized topology.

Original languageEnglish (US)
Pages (from-to)4354-4377
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Issue number16
StatePublished - Aug 30 2021


  • discrete adjoint sensitivity analysis
  • plastic work
  • stiffness maximization
  • topology optimization

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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