Level-set topology optimization for multimaterial and multifunctional mechanical metamaterials. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Wang, Yu; Gao, Jie; Luo, Zhen; Brown, Terry; Zhang, Nong
• Is Part Of: Engineering optimization. Volume 49:Issue 1(2017)
• Page Start: 22
• Page End: 42
• Publication Date: 2017-01-02
• Subjects: mechanical metamaterials -- topological shape optimization -- multiphase level-set method; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2016.1164853
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: Metamaterials are artificially engineered composites designed to have unusual properties. This article will develop a new level-set based topology optimization method for the computational design of multimaterial metamaterials with exotic thermomechanical properties. In order to generate metamaterials consisting of arrays of microstructures under periodicity, the numerical homogenization method is used to evaluate the effective properties of the microstructure, and a multiphase level-set model is used to evolve the boundaries of the multimaterial microstructure. The proposed method will produce material geometries with distinct interfaces and smoothed boundaries, which may facilitate the fabrication of the topologically optimized designs. Several numerical cases are used to demonstrate the effectiveness of the proposed method.