The Propagation Characteristic of Viscous-Plastic Wave in Functionally Graded Layer

Abstract:

In the paper, propagation of two-dimensional viscous-plastic waves in graded layer media is investigated by numerical method. Firstly, an infinite model is used to analysis wave’s propagation in FGMs, this model has a finite gradient layer and non-reflecting boundary condition is used to simplify the model to be finite. Then the characteristic of viscous-plastic wave’s propagation in graded media is investigated on the base of this model. The following contents is researched by this model: (1) The refracted effect of functionally gradient layers on incident wave; (2) the effect of incident angle on the bottom layer’s stress ; (3) the effect of gradient layer’s thickness on the bottom layer’s stress. Finally, some interesting, reasonable and important results are obtained by our researching work.

• Periodical: Materials Science Forum (Volumes 492-493)
• Pages: 517-522
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.492-493.517
• Online since: August 2005
• Authors: Li Sheng Liu, Qing Jie Zhang, Peng Cheng Zhai, Chang Chu Zhu
• Keywords: Gradient, Propagation, Stress Wave, Viscous Plastic

References

[1] T. -C. Chiu and F. Erdogan: Journal of Sound and Vibration Vol. 222 (1999), p.453.

[2] X. Han, D. Xu and G. R. Liu: Journal of Sound and Vibration Vol. 251 (2002), p.783.

[3] X. Han and G. R. Liu: Mechanics Research Communications Vol. 29 (2002), p.327.

[4] X. Han, G. R. Liu, K. Y. Lam and T. Ohyoshi: Journal of Sound and Vibration Vol. 236 (2000), p.307.

[5] Y. Li, K. T. Ramesh, E. S. C. Chin: International Journal of Solids and Structures Vol. 38 (2001), p.6045.

[6] Leslie Banks-Sills, Rami Eliasi and Yuri Berlin: Composites Part B: Engineering Vol. 33 (2002), p.7.

[7] M. Ei-Raheb: Journal of Sound and Vibration, (accepted in 2003 and on line).

[8] A. Chakraborty and S. Gopalakrishnan: International Journal of Solids and Structures Vol. 40 (2003), p.2421.

[9] Arkadi Berezovski, Juri Engelbrecht and G. A. Maugin: European Journal of Mechanics - A/Solids Vol. 22 (2003), p.257.

[10] Li-Sheng Liu and Qing-Jie Zhang: Wuhan Univeristy of Technology (In Chinese)Vol. 25 (2003), p.1.

[11] Li Ma, Lin-Zhi Wu and Zhen-Gong Zhou: International Journal of Engineering Science Vol. 42 (2004), p.187.

[12] G. J. Weng: Int. J. Eng. Sci. Vol. 22 (1984), p.845.

[13] Y. Li and K. T. Ramesh: Acta Materialia Vol. 46 (1998), p.5633.

[14] C. San Marchi, Fahe Cao, M. Kouzeli: Materials Science and Engineering A Vol. 337 (2002), p.202.