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Minimum stress optimal design with the level set method. (English) Zbl 1244.74104
Summary: This paper is devoted to minimum stress design in structural optimization. We propose a simple and efficient numerical algorithm for shape and topology optimization based on the level set method coupled with the topological derivative. We compute a shape derivative, as well as a topological derivative, for a stress-based objective function. Using an adjoint equation we implement a gradient algorithm for the minimization of the objective function. Several numerical examples in 2-d and 3-d are discussed.

74P15 Topological methods for optimization problems in solid mechanics
74P10 Optimization of other properties in solid mechanics
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