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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

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References

REFERENCES

Bendsøe, M.P., Struct Opt 1, 193 (1989).CrossRefGoogle Scholar
Guest, J.K. and Prevost, J.H., Int. J. Numer. Meth. Engng 66, 461 (2006)CrossRefGoogle Scholar
Svanberg, K., Int. J. Numer. Meth. Engng 24, 359 (1987).CrossRefGoogle Scholar
Svanberg, K. in Proceedings of the 1st World Congress of Structural and Multidisciplinary Optimization, edited by Rozvany, G.I.N. and Olhoff, N., pp. 9 (1995).Google Scholar
Sigmund, O., Int. J. Solids Struct 31, 2313 (1994).CrossRefGoogle Scholar
Sigmund, O. and Torquato, S., J. Mech. Phys. Solids 45, 1037 (1997).CrossRefGoogle Scholar
Challis, V.J., Roberts, A.P., A.H. and Wilkins, , Int. J. Solids Struct. 45, 4130 (2008).CrossRefGoogle Scholar
Guest, J.K. and Prevost, J.H., Int. J. Solids Struct 43, 7028 (2006)CrossRefGoogle Scholar
Challis, V.J., Guest, J.K., Grotowski, J.F., and Roberts, A.P., Int. J. Solids Struct 49, 3397 (2012).CrossRefGoogle Scholar
Guest, J.K., Prévost, J.H. and Belytschko, T., Int. J. Numer. Meth. Engng 61, 238 (2004).CrossRefGoogle Scholar
Guest, J.K., Comp. Meth. Applied Mech. Engng 199, 123, (2009).CrossRefGoogle Scholar
Guest, J.K. and Zhu, M., Proceedings of the 38th ASME Design Automation Conference (DAC), Chicago, IL, (2012)Google Scholar
Ha, S. and Guest, J.K., Struct and Multidisc Opt (DOI: 10.1007/s00158-013-1026-2).CrossRefGoogle Scholar
Hashin, Z., and Shtrikman, S., J. Applied Physics 33, 3125 (1962).CrossRefGoogle Scholar