By B. S. S. Daniel, G. P. Chaudhari

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App. Mech. 50(4) (1983) 727-734. [6] W. Abramowicz, N. Jones, Dynamic axial crushing of square tubes, Int. J. Imp. Eng. 2(2) (1984) 179-208. [7] W. Abramowicz, T. Wierzbicki, Axial crushing of multicorner sheet metal columns, J. App. Mech. 56(1) (1989) 113-120. [8] M. G. P. Degischer, R. Gradinger, Crushing of axially compressed steel tubes filled with aluminium foam, Acta Mech. 125 (1997) 93-105. [9] J. Banhart, MetallschaÈume, Proceedings of Symposium MetallschaÈume. 6-7 March, 1997, Bremen, Verlag MIT, Bremen, Germany.

1. Schematic of the finite element model used for the simulation of an epitaxial film and an interfacial misfit edge dislocation. Boundary conditions imposed are such that the substrate is free to bend. Note: b' = bcos60. Results and Discussion The stress state of the system (plot of xx contours) without and with a misfit dislocation is shown in Fig. 2a & b (with t = 80b', h = 40b' and for the model as in Fig. 1). The film is under compressive stress, while the substrate is under tensile stress.

In case of single tube configuration, empty tube results in higher energy absorption in comparison with foam filled tube with all other conditions being same. This may be attributed to the fact of complex stress wave propagation in this configuration. The energy absorption is improved 93% for two empty tubes configurations and 110% for three tubes configuration in comparison with single tube configuration. Further, the foam filled two tube configuration results in improved energy absorption of 95% in comparison with single foam tube configuration.

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