Abstract
Composites make it possible to produce materials with properties that are unattainable with single phase materials. This paper examines the use of multi-objective genetic topological optimization to design blast resistant composites. The fundamental problem of the design of a two-layer composite plate that is subjected to blast is considered using the finite element method. Two materials are used to form the microstructure of each layer. The microstructure and thickness of each layer is optimized for the two-layer plate to minimize the weight and stress-to-strength ratio. A set of optimal blast resistant composite microstructures that meet design requirements is demonstrated.
This is a preview of subscription content, access via your institution.






References
Langdona, G.S., Nuricka, G.N., Lemanskia, S.L., et al.: Failure characterization of blast-loaded fibre-metal laminate panels based on aluminum and glass-fibre reinforced polypropylene. Compos Sci Technol 67(7), 1385–1405 (2007)
Tsai, L., Prakash, V.: Structure of weak shock waves in 2-D layered material systems. Int. J. Solids Struct. 42(2), 727–750 (2005)
Bendsoe, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng. 71, 197–224 (1988)
Pederson, P.: On the minimum mass layout if trusses. In: AGARD conf. proc. No. 36, Symposium on Structural Optimization, AGARD-CP-36-70
Zhou, M., Rozvany, G.I.N.: DCOC: an optimality criteria method for large systems, Part I. Theory Struct. Optim. 5(1–2), 12–25 (1992)
Cheng, G., Olhoff, N.: An investigation concerning optimal design of solid elastic plates. Int. J. Solid Struct. 17(3), 305–323 (1981)
Sigmund, O.: Materials with prescribed constitutive parameters: an inverse homogenization problem. Int. J. Solid Struct. 31(17), 2313–2329 (1994)
Rodrigues, H.C., Fernandes, P.: A material based model for topology optimization of thermoelastic structures. Int. J. Numer. Methods Eng. 38(12), 1951–1965 (1995)
Haslinger, J.: Finite element approximation for optimal shape design: theory and applications. Wiley, New York (1988)
Fonseca JSO. PhD thesis: Design of microstructures of periodic composite materials. Ann Arbor: U of Michigan (1997)
Sanchez-Palencia, E.: Equations aux derivees partielles dans un type de milieux heterogenes. Computes Rendus de l’Academie des Sciences de Paris 272(A-B), A1410–A1413 (1971)
Keller, J.B.: Effective behavior of heterogeneous media. In: Landman, U. (ed.) Statistical mechanics and statistical methods in theory and application: a tribute to Elliot W. Montroll, pp. 429–443. Plenum Press, Plenum (1977)
Bakhvalov, N., Panasenko, G.: Homogenization: averaging process in periodic media. Kluwer, Dordrecht (1989)
De Kruijf, N., Zho, S., Li, Q., et al.: Topological design of structures and composite materials with multiobjectives. Int. J. Solids Struct. 44, 7092–7109 (2007)
Guedes, JM. PhD thesis: Nonlinear comutational models for composite materials using homogenization. N. Kikuchi, advisor. Ann Arbor: U of Michigan (1990)
Smith, P.D., Hetherington, J.G.: Blast and ballistic loading of structures. Laxtons, Oxford (1994)
Newmark, N.M., Hansen, R.J.: Design of blast resistant structures. In: Harris, C. (ed.) Shock and vibration handbook, vol. 3. McGraw-Hill, New York (1961)
Lohner, R.: Applied CFD, techniques: an introduction based on finite element methods. John Wiley and Sons, Chichester (2001)
Sigmund O. PhD thesis: Design of material structures using topology optimization. Lyngby: Technical University of Denmark (1994)
Currie, I.G.: Fundamental mechanics of fluids, 3rd edn. CRC Press, Boca Raton (2003)
Logan, D.L.: A first course in the finite element method, 3rd edn. Wadsworth Group, Pacific Grove (2002)
Pareto, V.: Manual of political economy. Macmillan, New York (1971)
Miettinen, K.: Nonlinear multiobjective optimization. Kluwer, Boston (1999)
Osyczka, A.: Multicriterion optimization in engineering. Ellis Horwood, Chichester (1984)
Rosenberg RS. PhD thesis: Simulation of genetic populations with biochemical properties. Ann Arbor: U of Michigan (1967)
Deb, K.: Multi-objective optimization using evolutionary algorithms. John Wiley, Chichester (2001)
Srinivas, N., Deb, K.: Multiobjective optimization using nondominated sorting in genetic algorithms. Evol Comput 2(3), 221–248 (1995)
Rammohan, R., Farfan, B., Su, M.F., et al.: Hybrid genetic optimization for design of photonic crystal emitters. Eng Optim 42(9), 791–809 (2010)
Konak, A., Coit, D.W., Smith, A.: Multi-objective optimization using genetic algorithms: a tutorial. Reliab Eng Syst Saf 91, 992–1007 (2006)
Taboada, H.A., Espiritu, J.F., David, W., et al.: MOMS-GA: a multi-objective multi-state genetic algorithm for system reliability optimization design problems. IEEE Trans Reliab 57(1), 182–191 (2008)
Liao, X., Li, Q., Yang, X., et al.: A two-stage multi-objective optimisation of vehicle crashworthiness under frontal impact. Int. J. Crashworthiness 13(3), 279–288 (2008)
ANSYS-AUTODYN. Interactive non-linear dynamic analysis software, version 11.0 User’s Manual. Century Dynamics Inc. (2007)
Acknowledgments
This research is mainly funded by the Army Research Office (ARO) Grant # W911NF-08-1-0421. The authors greatly appreciate this support. Special Thanks to G. Cruz from University of Texas, San Antonio for his help in blast simulation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sheyka, M.P., Altunc, A.B. & Taha, M.M.R. Multi-objective Genetic Topological Optimization for Design of Blast Resistant Composites. Appl Compos Mater 19, 785–798 (2012). https://doi.org/10.1007/s10443-011-9244-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10443-011-9244-5
Keywords
- Finite element method
- Composites
- Topology
- Optimization