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Robust compliance topology optimization based on the topological derivative concept. (English) Zbl 1352.74250

Summary: In this paper, we present an approach for robust compliance topology optimization under volume constraint. The compliance is evaluated considering a point-wise worst-case scenario. Analogously to sequential optimization and reliability assessment, the resulting robust optimization problem can be decoupled into a deterministic topology optimization step and a reliability analysis step. This procedure allows us to use topology optimization algorithms already developed with only small modifications. Here, the deterministic topology optimization problem is addressed with an efficient algorithm based on the topological derivative concept and a level-set domain representation method. The reliability analysis step is handled as in the performance measure approach. Several numerical examples are presented showing the effectiveness of the proposed approach.

MSC:

74P15 Topological methods for optimization problems in solid mechanics
49Q12 Sensitivity analysis for optimization problems on manifolds
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