Concurrent topology design of structure and material using a two-scale topology optimization. (1st January 2017)

• Record Type: Journal Article
• Authors: Chen, Wenjiong; Tong, Liyong; Liu, Shutian
• Is Part Of: Computers & structures. Volume 178(2016)
• Page Start: 119
• Page End: 128
• Publication Date: 2017-01-01
• Subjects: Topology optimization -- Concurrent design -- Algorithm -- Homogenization -- Response function; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2016.10.013
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Develop new algorithm for concurrent design of structure and material topologies. Derive macro- and micro-scale formulations for extended MIST objective function. Present two novel physical response functions for MIST for two-scale coupled design. Abstract: This paper presents new MIST (moving iso-surface threshold) formulation and algorithm for concurrent design of structural and cellular material topology. The material microstructure is assumed to be uniform in macro-scale, i.e. the macrostructure is composed of periodic unit cells. New formulations for the two physical response functions of macrostructure and microstructure (unit cell) are derived in terms of the results of finite element analyses of structure and material by using the homogenization theory. Several numerical examples are presented for optimum design solutions of the macrostructures and their corresponding material microstructures to illustrate the capability and efficiency of the present approach.