![]() proposed level set-based approaches for the design of microstructures, and Huang et al. ![]() ![]() Guest and Prévost dealt with the topology optimization of the fluid flows in the design of porous periodic materials. used the density-based approach to design periodic microstructures for optimal elastic properties. Since then, many other studies have been published dealing with a variety of different material optimization problem formulations. The basic theory for the implementation of topology optimization in material design was presented first in 1994 by Sigmund, followed by Sigmund and Torquato in 1997 and by Gigiansky and Sigmund in 2000.
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