Sufficiency of a finite exponent in SIMP (power law) methods

Authors:
A. Rietz
Affiliations:
Department of Mechanical Engineering, Linköping University, S---581 83 Linköping, Sweden
Venue:
Structural and Multidisciplinary Optimization
Year:
2001

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Abstract

A common way to perform discrete optimization in shape or topology optimization is to use a method called the artificial power law or SIMP. The focus of this paper is to show that this method gives a discrete solution under some conditions. Examples from topology optimization are included for illustrative purposes.