DOI: 10.1016/j.jmps.2005.05.003. Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models

Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models

10.1016/j.jmps.2005.05.003

Crossref journal-article

Elsevier BV

Journal of the Mechanics and Physics of Solids (78)

Bibliography

Tan, P. J., Reid, S. R., Harrigan, J. J., Zou, Z., & Li, S. (2005). Dynamic compressive strength properties of aluminium foams. Part IIââshockâ theory and comparison with experimental data and numerical models. Journal of the Mechanics and Physics of Solids, 53(10), 2206â2230.

Authors 5

P.J. Tan (first)
S.R. Reid (additional)
J.J. Harrigan (additional)
Z. Zou (additional)
S. Li (additional)

References 30 Referenced 268

ABAQUS Theory Manual, Version 6.3, 2002, HKS Inc., Providence, Rhode Island.
{'key': '10.1016/j.jmps.2005.05.003_bib2', 'series-title': 'Metal Foams: A Design Guide', 'author': 'Ashby', 'year': '2000'} / Metal Foams: A Design Guide by Ashby (2000)
{'key': '10.1016/j.jmps.2005.05.003_bib3', 'series-title': 'Wave Theory and Applications', 'author': 'Bland', 'year': '1988'} / Wave Theory and Applications by Bland (1988)
10.1016/0020-7403(84)90021-3 / Int. J. Mech. Sci. / Strain-rate and inertia effects in the collapse of two types of energy-absorbing structure by Calladine (1984)
10.1016/S0022-5096(99)00030-7 / J. Mech. Phys. Solids / Effect of imperfections on the yielding of two dimensional foams by Chen (1999)
10.1016/S0734-743X(99)00153-0 / Int. J. Impact Eng. / High strain rate compressive behaviour of aluminium alloy foams by Deshpande (2000)
{'key': '10.1016/j.jmps.2005.05.003_bib7', 'series-title': 'Introduction to the Thermodynamics of Solids', 'author': 'Ericksen', 'year': '1991'} / Introduction to the Thermodynamics of Solids by Ericksen (1991)
Eringen, A.C., Şuhubi, E.S., 1974. Elastodynamics. Finite Motions, vol 1. Academic Press, New York. (10.1115/1.3423689)
10.1016/S0020-7403(01)00091-1 / Int. J. Mech. Sci. / Validation of constitutive models applicable to aluminium foams by Hanssen (2002)
Harrigan, J.J., Peng, C., Reid, S.R., 1998a. Inertia effects in impact energy absorbing materials and structures. In: Langseth, M., Krauthammer, T. (Eds.), Transient loading and response of structures, International Symposium in honour of Arnfinn Jenssen, Trondheim, Norway, ISBN No. 82-7482-044-4, pp. 447–474.
Harrigan, J.J., Reid, S.R., Reddy, T.Y., 1998b. Inertial forces on the crushing of wood loaded along the grain. In: Allison, I.M. (Ed.), Experimental Mechanics. Balkema, Rotterdam, pp. 193–198.
10.1016/S0734-743X(99)00037-8 / Int. J. Impact Engng. / Inertia effects in impact energy absorbing materials and structures by Harrigan (1999)
Harrigan, J.J., Reid, S.R., Tan, P.J., Reddy, T.Y., 2005. High rate crushing of wood along the grain. Int. J. Mech. Sci. 47, 521–544. (10.1016/j.ijmecsci.2004.12.013)
10.1016/S0020-7403(02)00060-7 / Int. J. Mech. Sci. / In-plane dynamic crushing of honeycomb—Part I: crush band initiation and wave trapping by Hönig (2002)
10.1016/S0020-7403(02)00061-9 / Int. J. Mech. Sci. / In-plane dynamic crushing of honeycomb—Part II: application to impact by Hönig (2002)
Hopkins, H.G., 1968. The method of characteristics and its application to the theory of stress waves in solids. In: Heyman, J., Leckie, F.A. (Eds.), Engineering Plasticity. Cambridge University Press, Cambridge, pp. 277–315.
Lighthill, M.J., 1956. Viscosity effects in sound waves of finite amplitude. In: Batchelor, G.K., Davies, R.M. (Eds.), Surveys in Mechanics. Cambridge University Press, Cambridge, pp. 250–351.
{'key': '10.1016/j.jmps.2005.05.003_bib18', 'series-title': 'Energy Absorption of Structures and Materials', 'author': 'Lu', 'year': '2003'} / Energy Absorption of Structures and Materials by Lu (2003)
10.1098/rsta.1959.0006 / Philos. Trans. R. Soc. London / The propagation of plane irrotational stress waves through an elastoplastic medium by Morland (1959)
10.1016/0734-743X(91)90014-7 / Int. J. Impact Eng. / Experimental investigation of inertia effects in one-dimensional metal ring systems subjected to end impact—II: free ended systems by Reddy (1991)
Reid, S.R., Bell, W.W., 1984. Response of 1-D metal ring systems to end impact. In: Harding, J. (Ed.), Mechanical Properties at High Rates of Strain. Institute of Physics Conference Series No. 70, Oxford, pp. 471–478.
10.1016/S0734-743X(97)00016-X / Int. J. Impact Eng. / Dynamic uniaxial crushing of wood by Reid (1997)
10.1016/0734-743X(83)90014-3 / Int. J. Impact Eng. / Experimental investigation of inertia effects in one dimensional metal ring systems subjected to end impact—I: fixed ended systems by Reid (1983)
10.1016/0734-743X(83)90005-2 / Int. J. Impact Eng. / Structural plastic shock model for one dimensional ring system by Reid (1983)
Reid, S.R., Reddy, T.Y, Peng, C., 1993. Dynamic compression of cellular structures and materials, In: Jones, N., Wierzbicki, T. (Eds.), Structural Crashworthiness and Failure. Elsevier Applied Science Publishers, pp. 295–340.
10.1016/0020-7403(94)00018-F / Int. J. Mech. Sci. / The effect of non-periodic microstructure on the elastic properties of two-dimensional cellular solids by Silva (1995)
Tan, P.J., Reid, S.R., Harrigan, J.J., Zou, Z., Li, S., 2005. Dynamic compressive strength properties of aluminium foams. Part 1—Experimental data and observations. J. Mech. Phys. Solids, to appear, doi:10.1016/j.jmps.2005.05.007. (10.1016/j.jmps.2005.05.007)
10.1115/1.2804540 / ASME J. Eng. Mat. Tech. / Compressive stress–strain relations and shock Hugoniot curves of flexible foams by Zaretsky (1995)
10.1016/S0022-5096(00)00046-6 / J. Mech. Phys. Solids / Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs by Zhu (2001)
Zou, Z., Tan, P.J., Reid, S.R., Li, S., Harrigan, J.J., 2005. Dynamic crushing of two-dimensional cellular materials and the effect of irregularities on the crushing behaviour, J. Mech. Phys. Solids, submitted.

Dates

Type	When
Created	20 years, 1 month ago (July 7, 2005, 10:03 a.m.)
Deposited	5 years, 4 months ago (April 8, 2020, 1:17 a.m.)
Indexed	1 week ago (Aug. 23, 2025, 1:01 a.m.)
Issued	19 years, 10 months ago (Oct. 1, 2005)
Published	19 years, 10 months ago (Oct. 1, 2005)
Published Print	19 years, 10 months ago (Oct. 1, 2005)

Funders 0

None

BibTeX

@article{Tan_2005, title={Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models}, volume={53}, ISSN={0022-5096}, url={http://dx.doi.org/10.1016/j.jmps.2005.05.003}, DOI={10.1016/j.jmps.2005.05.003}, number={10}, journal={Journal of the Mechanics and Physics of Solids}, publisher={Elsevier BV}, author={Tan, P.J. and Reid, S.R. and Harrigan, J.J. and Zou, Z. and Li, S.}, year={2005}, month=oct, pages={2206–2230} }

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