We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem serves as a state constraint. We prove that the topology optimization problem admits a solution. First-order optimality conditions are obtained by considering a regularized problem and passing to the limit.
Topology optimization for incremental elastoplasticity: a phase-field approach / Almi, S; Stefanelli, U. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - 59:1(2021), pp. 339-364. [10.1137/20M1331275]
Topology optimization for incremental elastoplasticity: a phase-field approach
Almi S;
2021
Abstract
We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem serves as a state constraint. We prove that the topology optimization problem admits a solution. First-order optimality conditions are obtained by considering a regularized problem and passing to the limit.| File | Dimensione | Formato | |
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