P Wave Propagation in the Functionally Graded Materials

Abstract:

The P wave propagation in the functionally graded materials (FGM) is studied. The differential equation with varied-coefficient of wave motion in the FGM is established. By using of the WKBJ approximation method, the differential equation with varied-coefficient is solved, and the closed-analytical solutions of displacement in the FGM are obtained. The properties of the FGM whose shear modulus and mass density are gradually varying in exponential form are calculated; the curves of P wave velocity and amplitude, and the general properties of the P wave in the FGM are analyzed.

• Periodical: Advanced Materials Research (Volumes 706-708)
• Pages: 1685-1688
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.706-708.1685
• Online since: June 2013
• Authors: Li Gang Zhang, Hong Zhu, Hong Biao Xie, Lin Yuan
• Keywords: Differential Equation with Varied Coefficient, Functionally Graded Material (FGM), P Wave, Wave Amplitude, Wave Velocity

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