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Volume preserving nonlinear density filter based on Heaviside functions. (English) Zbl 1274.74419
Summary: To prevent numerical instabilities and ensure manufacturability, restrictions should be applied in topology optimization. In this paper, a volume preserving density filter based on Heaviside functions is presented. Different from earlier Heaviside density filters, this filter is volume preserving, which ensures efficiency and stability in optimization. The new filter is compared with four other filters through a compliance minimization problem.

74P15 Topological methods for optimization problems in solid mechanics
74P05 Compliance or weight optimization in solid mechanics
65K05 Numerical mathematical programming methods
Full Text: DOI
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