Phase Field Approach to Topology Optimization of Contact Problems
نویسنده
چکیده
The paper deals with a phase field model for formulation and solution of the topology optimization problems of bodies in unilateral contact consisting in the normal contact stress minimization. The cost functional includes also surface and bulk energy terms. These terms allow to control global perimeter constraint and the occurence of the intermediate solution values. The optimal topology is obtained as the steady state of the phase transition governed by the Cahn-Hilliard equation. The optimization problem is solved using the finite element method. Numerical examples are provided.
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