Topology optimization of finite strain viscoplastic systems under transient loads
Research output: Contribution to journal › Article
Abstract
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.
Details
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Research areas and keywords | Subject classification (UKÄ) – MANDATORY
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Original language | English |
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Pages (from-to) | 1351-1367 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 114 |
Issue number | 13 |
Early online date | 2018 Mar 25 |
Publication status | Published - 2018 |
Publication category | Research |
Peer-reviewed | Yes |
Related projects
Mathias Wallin, Niklas Ivarsson & Anna Dalklint
Swedish Research Council
2016/01/01 → 2020/12/31
Project: Research