Abstract
To accommodate the dual objectives of many engineering applications, one objective to minimize the mean compliance for the stiffest structure under normal service conditions and the other objective to maximize the strain energy for energy absorption during excessive loadings, topology optimization with a multimaterial model is applied to the design of an energy-absorbing structure in this paper. The effective properties of the three-phase material are derived using a spherical microinclusion model. The dual objectives are combined in a ratio formation. Numerical examples from the proposed method are presented and discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bendsøe MP, Sigmund O (1999) Material interpolations in topology optimization. Arch Appl Mech 69:635–654
Chickermane H, Gea HC (1996) Structural optimization using a new local approximation method. Int J Numer Methods Eng 39:829–846
Gea HC (1996) Topology optimization: a new microstructure-based design domain method. Comput Struct 61:781–788
Gea HC, Luo J (2001) Design for energy absorption: a topology optimization approach. ASME DETC2001/DAC21060
Jung D, Gea HC (2004) Topology optimization of nonlinear structures. Finite Elem Anal Des 40(11):1417–1427
Mayer RR, Kikuchi N, Scott RA (1996) Application of topological optimization techniques to structural crashworthiness. Int J Numer Methods Eng 39:1383–1403
Pedersen CBW (2002) Topology optimization of energy absorbing structure. In: WCCM V, fifth world congress on computational mechanics, Vienna, July 7–12
Pedersen CBW (2003a) Topology optimization of 2D-frame structures with path dependent response. Int J Numer Methods Eng 57:1471–1501
Pedersen CBW (2003b) Topology optimization design of crushed 2D-frames for desired energy absorption history. Struct Multidisc Optim 5–6:368–382
Pedersen CBW (2003c) Topology optimization for crashworthiness of frame structures. Int J Crashworthiness 8:29–39
Pedersen CBW (2004) Crashworthiness design of transient frame structures using topology optimization. Comput Methods Appl Mech Eng 193(6–8):653–678
Sigmund O (2001) Design of multiphysics actuators using topology optimization — part II: two-material structures. Comput Methods Appl Mech Eng 190:6605–6627
Soto CA (2001) Optimal structural topology design for energy absorption: a heuristic approach. ASME DETC2001/DAC-21126
Soto CA, Diaz AR (1999) Basic models for topology optimization in crashworthiness problems. ASME DETC99/DAC-8591
Weng GJ (1984) Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int J Eng Sci 22:845–856
Yin L, Ananthasuresh GK (2001) Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme. Struct Multidisc Optim 23:49–62
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jung, D., Gea, H.C. Design of an energy-absorbing structure using topology optimization with a multimaterial model. Struct Multidisc Optim 32, 251–257 (2006). https://doi.org/10.1007/s00158-006-0011-4
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-006-0011-4