Connecting Microstructures for Multiscale Topology Optimization With Connectivity Index Constraints

Author:

Du Zongliang1,Zhou Xiao-Yi2,Picelli Renato3,Kim H. Alicia4

Affiliation:

1. Structural Engineering Department,University of California, San Diego,San Diego, CA 92093e-mail: zodu@eng.ucsd.edu

2. School of Engineering,Cardiff University,Cardiff CF24 3AA, UKe-mail: zhoux19@cf.ac.uk

3. School of Engineering,Cardiff University,Cardiff CF24 3AA, UKe-mail: PicelliR@cardiff.ac.uk

4. Structural Engineering Department,University of California, San Diego,San Diego, CA 92093;School of Engineering,Cardiff University,Cardiff CF24 3AA, UKe-mail: alicia@ucsd.edu

Abstract

Abstract With the rapid developments of advanced manufacturing and its ability to manufacture microscale features, architected materials are receiving ever increasing attention in many physics fields. Such a design problem can be treated in topology optimization as architected material with repeated unit cells using the homogenization theory with the periodic boundary condition. When multiple architected materials with spatial variations in a structure are considered, a challenge arises in topological solutions, which may not be connected between adjacent material architecture. This paper introduces a new measure, connectivity index (CI), to quantify the topological connectivity, and adds it as a constraint in multiscale topology optimization to achieve connected architected materials. Numerical investigations reveal that the additional constraints lead to microstructural topologies, which are well connected and do not substantially compromise their optimalities.

Funder

Defense Advanced Research Projects Agency

Engineering and Physical Sciences Research Council

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

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