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research-article

Topology Optimization of 3D Woven Materials using a Ground Structure Design Variable Representation

[+] Author and Article Information
Seung-Hyun Ha

Korea Maritime and Ocean University, 727 Taejong-ro, Yeongdo-gu, Busan, 49112, South Korea
shha@kmou.ac.kr

Hak Yong Lee

Department of Civil Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, 21218, USA
hlee197@jhu.edu

Kevin Hemker

Department of Mechanical Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, 21218, USA
hemker@jhu.edu

James K. Guest

Department of Civil Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, 21218, USA
jkguest@jhu.edu

1Corresponding author.

ASME doi:10.1115/1.4042114 History: Received August 18, 2018; Revised November 16, 2018

Abstract

Three-dimensional weaving has recently arisen as viable means for manufacturing metallic, architected micro-lattices. Herein we describe a topology optimization approach for designing the architecture of such 3-D woven lattices. A ground structure design variable representation is combined with linear manufacturing constraints and a projection mapping to realize lattices that satisfy the rather restrictive topological constraints associated with 3-D weaving. The approach is demonstrated in the context of inverse homogenization to design lattices with maximized fluid permeability. Stokes flow equations with no-slip conditions governing unit cell flow fields are interpolated using the Darcy-Stokes finite element model, fully leveraging existing work in the topology optimization of fluids. The combined algorithm is demonstrated to design manufacturable lattices with maximized permeability whose properties have been validated experimentally in other published work.

Copyright (c) 2018 by ASME
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