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.
Connecting Microstructures for Multiscale Topology Optimization With Connectivity Index Constraints
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 1, 2018; final manuscript received August 6, 2018; published online October 1, 2018. Assoc. Editor: James K. Guest.
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Du, Z., Zhou, X., Picelli, R., and Kim, H. A. (October 1, 2018). "Connecting Microstructures for Multiscale Topology Optimization With Connectivity Index Constraints." ASME. J. Mech. Des. November 2018; 140(11): 111417. https://doi.org/10.1115/1.4041176
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