Mass Impact of Density-Graded Cellular Metals in a Temperature Field

Abstract:

We consider the problem of a density-graded cellular rod in a temperature gradient field axially subjected to a mass impact. Two-dimensional cell-based finite element models and one-dimensional shock models are employed to explore the mechanisms of deformation and wave propagation. The yield stress distribution in a cellular specimen depends on both the density gradient field and the temperature gradient field. The stress distribution and the yield stress distribution are analyzed. For the increasing yield stress along the impact direction, one shock front propagates from the proximal end to the distal end of the specimen. For the decreasing yield stress along the impact direction, two shock fronts propagate in opposite directions and the one close to the proximal end ceases at a particular time. The predicted stresses of the extended shock models are compared well with the numerical results.

• Periodical: Applied Mechanics and Materials (Volume 566)
• Pages: 599-604
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.566.599
• Online since: June 2014
• Authors: Zhi Jun Zheng*, Xiao Kai Wang, Ji Lin Yu
• Keywords: Cellular Structure, Deformation Localization, Density Gradient, Shock Wave, Temperature Gradient

References

[1] X.K. Wang, Z.J. Zheng, J.L. Yu, C.F. Wang: Appl. Mech. Mater. Vol. 69 (2011), pp.73-78.

[2] S.R. Reid, C. Peng: Int. J. Impact Eng. Vol. 19 (1997), pp.531-570.

[3] C.J. Shen, T.X. Yu, G. Lu: Int. J. Solids Struct. Vol. 50 (2013), pp.217-233.

[4] X.K. Wang, Z.J. Zheng, J.L. Yu: Theor. Appl. Mech. Lett. Vol. 3 (2013), p.031001(1-5).

[5] L.J. Gibson, M.F. Ashby: Cellular Solids: Structures and Properties (2nd ed., Cambridge University Press, Cambridge 1997).

[6] T.J. Lu, C. Chen: Acta Mater. Vol. 47 (1999), pp.1469-1485.