Investigation of the Dynamic Response of Functionally Graded Materials Using Smoothed Particle Hydrodynamics


Article Preview

In the present study, the problem of functionally graded materials (FGMs) under a stress pulse is analyzed based on smoothed particle hydrodynamics (SPH) using the formulation for large deformation. First, the formulation of SPH for this problem is described, and a benchmark calculation is performed and compared to one-dimensional analytical solutions. The behavior of FGMs subjected to a stress pulse is then investigated for several cases, including various distributions of inhomogeneous materials and two-dimensional problems with different boundary conditions. It is found that in the two-dimensional case, if there is a free boundary not parallel to the direction of the external force, the influence from this boundary cannot be ignored.



Edited by:

Junqiao Xiong




G. M. Rong and H. Kisu, "Investigation of the Dynamic Response of Functionally Graded Materials Using Smoothed Particle Hydrodynamics", Advanced Materials Research, Vol. 586, pp. 111-116, 2012

Online since:

November 2012




[1] M. Yamanouchi, M. Koizumi, T. Hirai and I. Shiota (editors) 1990 FGM '90, Proceedings of the lst International Symposium on Functionally Gradient Materials, Tokyo, Japan: FGM Forum.

[2] El-Hadek M. M. and Tippur H. V., Int. J. of Solids and Structures, 40, 2003, p.1885-(1906).

[3] T. C. Chiu and F. Erdogan, J. Sound & Vibration, 222(3), 1999, pp.453-487.

[4] M. Jabbari, S. Sohrabpour and M. R. Eslami, Int. J. Pressure Vessels and Piping 79, 2002, pp.493-497.

[5] M. H. Yas, M. Shakeri, M. Heshmati and S. Mohammadi, Journal of Mechanical Science and Technology, 25 (3), 2011, pp.597-604.

[6] Gupta N., Gupta S. K. and Mucller B.J., Material Science and Engineering, Part A, 485, 2008, pp.439-447.

[7] J.J. Monaghan, Annu. Rev. Astron. Astrophys. 30, 1992, pp.543-574.

[8] G. Rong and H. Kisu, Key Engineering Materials Vols. 452-453, 2011, pp.685-688.

[9] T. Blanc, M. Pastor, Comput. Methods Appl. Mech. Engrg. 221-222, 2012, pp.41-53.

[10] P. W. Randles and L. D. Libersky, Normalized SPH with stress points, Int. J. for Numerical methods in engineering, 48, 2000, pp.1445-1462.


[11] L.D. Libersky, High strain Lagrangian hydrodynamics, J. Comput. Phys., 109, 1993, pp.67-75.

[12] G. R. Liu, M. B. Liu, Smoothed Particle Hydrodynamics-A mesh free particle method, World Scientific, (2003).

[13] J. P. Gray, J. J. Monaghan, R. P. Swift, SPH elastic dynamics, Comput. Methods Appl. Mech. Eng. 190, (49-50) (2001), pp.6641-6662.