Dynamic Topology Optimization of Rate-Dependent Elastoplastic Structures

  • Wang, Ziyang (School of Mechanical Engineering, University)
  • Wu, Yi (School of Mechanical Engineering, University)
  • Liu, Bo (School of Mechanical Engineering, University)

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A topology optimization framework for rate-dependent elastoplastic structures subjected to impact loading is presented. The Johnson–Cook constitutive model is adopted to capture strain-rate and impactvelocity effects under dynamic loading conditions. The mechanical balance laws are solved using a discretize-then-differentiate approach within an implicit time-integration scheme. The topology optimization problem is formulated to maximize the external work over the entire dynamic loading process, subject to volume and compliance constraints. Design updates are generated using the gradient-based Method of Moving Asymptotes (MMA), and the sensitivities required to construct the MMA approximation are derived using the adjoint method. Several numerical examples are presented to demonstrate the effectiveness of the proposed framework and to verify that rate-dependent elastoplastic effects can be successfully integrated into topology optimization under dynamic loading.