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Topology Optimization for Cellular Material Design

Published online by Cambridge University Press:  28 February 2014

Reza Lotfi ,
Seunghyun Ha ,
Josephine V. Carstensen  and
James K. Guest
Reza Lotfi
Affiliation:
Johns Hopkins University, Civil Engineering Department, 3400 N Charles St., Baltimore, MD 21218-2682, U.S.A.
Seunghyun Ha
Affiliation:
Johns Hopkins University, Civil Engineering Department, 3400 N Charles St., Baltimore, MD 21218-2682, U.S.A.
Josephine V. Carstensen
Affiliation:
Johns Hopkins University, Civil Engineering Department, 3400 N Charles St., Baltimore, MD 21218-2682, U.S.A.
James K. Guest
Affiliation:
Johns Hopkins University, Civil Engineering Department, 3400 N Charles St., Baltimore, MD 21218-2682, U.S.A.
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Abstract

Topology optimization is a systematic, computational approach to the design of structure, defined as the layout of materials (and pores) across a domain. Typically employed at the component-level scale, topology optimization is increasingly being used to design the architecture of high performance materials. The resulting design problem is posed as an optimization problem with governing unit cell and upscaling mechanics embedded in the formulation, and solved with formal mathematical programming. This paper will describe recent advances in topology optimization, including incorporation of manufacturing processes and objectives governed by nonlinear mechanics and multiple physics, and demonstrate their application to the design of cellular materials. Optimized material architectures are shown to (computationally) approach theoretical bounds when available, and can be used to generate estimations of bounds when such bounds are unknown.

Keywords

cellular (material form)strengthstructural
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1662: Symposium VV – Designed Cellular Materials—Synthesis, Modeling, Analysis and Applications , 2014 , mrsf13-1662-vv03-08
Copyright
Copyright © Materials Research Society 2014 

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