Technical Papers
Jan 8, 2016

One-Dimensional Numerical Framework for Shock Compaction of Cellular Foams

Publication: Journal of Aerospace Engineering
Volume 29, Issue 4

Abstract

A one-dimensional (1D) finite-volume implementation, based on the second-order Godunov method for predicting dynamic response of foams that exhibit irreversible compaction, is presented. Cellular foams, with an upward concave stress-strain relationship associated with densification of the material resulting from collapse of the cell structure, have the possibility of a strong discontinuity with shock-type characteristics. An approximate solution to the local Riemann problem is developed considering all possible wave structure(s) in the material based on the quasi-static response of the material. The prediction of dynamic compaction response of the foam subjected to solid impact is shown to compare favorably with experimental results. For an applied blast pressure loading, attenuation of transmitted stress wave in the foam is shown to be a result of the energy dissipation provided by compaction of the foam.

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References

Ashby, M. F., and Gibson, L. J. (1999). Cellular solids—Structures and properties, 2nd Ed., Cambridge University Press, Cambridge, U.K.
Deshpande, V. S., and Fleck, N. A. (2000). “High strain rate compressive behaviour of aluminium alloy foams.” Int. J. Impact Eng., 24(3), 277–298.
Gibson, L. J., and Ashby, M. F. (1999). Cellular solids: Structure and properties, 2nd Ed., Cambridge University Press, Cambridge, U.K.
Hanssen, A. G., Enstock, L., and Langseth, M. (2002). “Close-range blast loading of aluminium foam panels.” Int. J. Impact Eng., 27(6), 593–618.
Hopkins, H. G. (1968). “The method of characteristics and its application to the theory of stress waves in solids.” Engineering plasticity, J. Heyman, and F. A. Leckie, eds., Cambridge University Press, Cambridge, U.K., 277–315.
Karagiozova, D., Langdon, G. S., and Nurick, G. N. (2012). “Propagation of compaction waves in metal foams exhibiting strain hardening.” Int. J. Solids Struct., 49(19–20), 2763–2777.
LeVeque, R. J. (2002a). Finite volume methods for hyperbolic problems, Cambridge University Press, Cambridge, U.K.
LeVeque, R. J. (2002b). “Finite-volume method for non-linear elasticity in heterogeneous media.” Int. J. Numer. Methods Fluids, 40(1–2), 93–104.
LeVeque, R. J., and Yong, D. H. (2003). “Solitary waves in layered nonlinear media.” SIAM J. Appl. Math., 63(5), 1539–1560.
Lopatnikov, S. L., et al. (2003). “Dynamics of metal foam deformation during Taylor cylinder-Hopkinson bar impact experiment.” Compos. Struct., 61(1–2), 61–71.
Morland, L. W. (1959). “The propagation of plane irrotational stress waves through an elastoplastic medium.” Philos. Trans. R. Soc. London A: Math. Phys. Eng. Sci., 251(997), 341–383.
Nemat-Nasser, S., Kang, W. J., McGee, J. D., Guo, W. G., and Isaacs, J. B. (2007). “Experimental investigation of energy-absorption characteristics of components of sandwich structures.” Int. J. Impact Eng., 34(6), 1119–1146.
Nian, W., Subramaniam, K. V. L., and Andreopoulos, A. (2015). “Experimental investigation of blast pressure attenuation by cellular cement foams.” ACI Mater. J., 112(1), 21–27.
Nowinski, J. L. (1965). “On the propagation of finite disturbances in bars of rubberlike materials.” J. Manuf. Sci. Eng., 87(4), 523–529.
Radford, D. D., Deshpande, V. S., and Fleck, N. A. (2005). “The use of metal foam projectiles to simulate shock loading on a structure.” Int. J. Impact Eng., 31(9), 1152–1171.
Reid, S. R., and Peng, C. (1997). “Dynamic uniaxial crushing of wood.” Int. J. Impact Eng., 19(5–6), 531–570.
Tan, P. J., Reid, S. R., Harrigan, J. J., Zou, Z., and Li, S. (2005a). “Dynamic compressive strength properties of aluminum foams. II—‘Shock’ theory and comparison with experimental data and numerical models.” J. Mech. Phys. Solids, 53(10), 2206–2230.
Tan, P. J., Reid, S. R., Harrigan, J. J., Zou, Z., and Li, S. (2005b). “Dynamic compressive strength properties of aluminum foams. I—Experimental data and observations.” J. Mech. Phys. Solids, 53(10), 2174–2205.
Toro, E. F. (1999). Riemann solvers and numerical methods for fluid dynamics: A practical introduction, 3rd Ed., Springer.
Zheng, Z., Yu, J., Wang, C., Liao, S., and Liu, Y. (2013). “Dynamic crushing of cellular materials: A unified framework of plastic shock wave models.” Int. J. Impact Eng., 53, 29–43.

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Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 29Issue 4July 2016

History

Received: Apr 26, 2015
Accepted: Sep 21, 2015
Published online: Jan 8, 2016
Discussion open until: Jun 8, 2016
Published in print: Jul 1, 2016

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Authors

Affiliations

Weimin Nian
Project Structural Engineer, DeSimone Consulting Engineers, New York, NY 10011.
Kolluru V. L. Subramaniam [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology Hyderabad, Hyderabad, Telangana 502205, India (corresponding author). E-mail: [email protected]
Yiannis Andreopoulos
Professor, Dept. of Mechanical Engineering, City College of the City Univ. of New York, New York, NY 10031.

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