Topology optimization of finite strain viscoplastic systems under transient loads

Research output: Contribution to journalArticle


A transient finite strain viscoplastic model is implemented in a gradient-based topology optimization framework to design impact mitigating structures. The model's kinematics relies on the multiplicative split of the deformation gradient, and the constitutive response is based on isotropic hardening viscoplasticity. To solve the mechanical balance laws, the implicit Newmark-beta method is used together with a total Lagrangian finite element formulation. The optimization problem is regularized using a partial differential equation filter and solved using the method of moving asymptotes. Sensitivities required to solve the optimization problem are derived using the adjoint method. To demonstrate the capability of the algorithm, several protective systems are designed, in which the absorbed viscoplastic energy is maximized. The numerical examples demonstrate that transient finite strain viscoplastic effects can successfully be combined with topology optimization.


External organisations
  • Lawrence Livermore National Laboratory
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Computational Mathematics


  • Crashworthiness, Discrete adjoint sensitivity analysis, Finite strain, Rate-dependent plasticity, Topology optimization
Original languageEnglish
Pages (from-to)1351-1367
JournalInternational Journal for Numerical Methods in Engineering
Issue number13
Early online date2018 Mar 25
Publication statusPublished - 2018
Publication categoryResearch

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