Multi-material topology optimization based on symmetric level set function using the material definition with perfect symmetric property

Abstract

Multi-material topology optimization based on symmetric level set function using the material definition with perfect symmetric property

Extended level set method: a multiphase representation with perfect symmetric property, and its application to multi material topology optimization

“…By contrast, the method proposed by Yamada et al [8], which updates the level set function with the reaction-diffusion equation, allows easy control of the geometric complexity of the optimal structure and is applicable to a wide range of design problems. In fact, this method has been used to solve elasticity [10,11,12], thermal [13,14], acoustic [15,16,17], electromagnetic [18,19], fluid [20], current control [21], thermoelectric [22], multiple material [23,24,25], and other optimal design problems, confirming its high extendibility.…”

“…This method is advantaged by low dependence on the initial structure because continuous changes are allowed among all phases. In the authors' previous research [25], all phases were defined symmetrically with respect to the other phases. The details of each method are described in Appendix A.…”