Topology optimization for finite strain plasticity

Abstract eng:
In this work finite strain rate-independent plasticity is combined with topology optimization. The employed constitutive model is based on rate-independent isotropic hardening plasticity and to separate the elastic deformation from the plastic deformation, use is made of the multiplicative split of the deformation gradient. The mechanical balance laws are solved using the finite element method and the optimization problem is solved using the method of moving asymptotes. The sensitivity is derived using a coupled transient adjoint strategy. A boundary value problem where the plastic work is maximized is used to demonstrate the capability of the presented model.

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