Suppressing Gray-Scale Elements in Topology Optimization of Continua Using Modified Optimality Criterion Methods
Yixian Du; De Chen

doi:10.3970/cmes.2012.086.053
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 86, No. 1, pp. 53-70, 2012
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Keywords Topology optimization; Continuum structure; Optimality Criterion; Gray-scale elements; SIMP method.
Abstract This study proposes a new topology optimization method for continuum structures, which includes modified heuristic optimality criteria in conjunction with the SIMP scheme to suppress gray-scale elements occurred in topology optimization of continua through smoothed Heaviside function. In the process of numerical implementation, the gray scale elements are suppressed to approach the binary bounds of 0 or 1 by utilizing the proposed approach and the corresponding convergence criterion. Two typical numerical examples are used to demonstrate the effectiveness of the proposed method in suppressing the gray-scale elements with intermediate densities, as well as the efficiency of this method in the numerical procedure.
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