Numerical modeling of wave propagation in functionally graded materials using time-domain spectral Chebyshev elements

2014 ◽  
Vol 258 ◽  
pp. 381-404 ◽  
Author(s):  
Saeid Hedayatrasa ◽  
Tinh Quoc Bui ◽  
Chuanzeng Zhang ◽  
Chee Wah Lim
Keyword(s):  
Numerical Modeling ◽  
Wave Propagation ◽  
Functionally Graded Materials ◽  
Time Domain ◽  
Functionally Graded ◽  
Graded Materials

Numerical modeling of functionally graded materials using a variational formulation

2012 ◽  
Vol 24 (4-6) ◽  
pp. 377-390 ◽  
Author(s):  
B. E. Abali ◽  
C. Völlmecke ◽  
B. Woodward ◽  
M. Kashtalyan ◽  
I. Guz ◽  
...  
Keyword(s):  
Numerical Modeling ◽  
Functionally Graded Materials ◽  
Variational Formulation ◽  
Functionally Graded ◽  
Graded Materials

P Wave Propagation in the Functionally Graded Materials

2013 ◽  
Vol 706-708 ◽  
pp. 1685-1688
Author(s):  
Li Gang Zhang ◽  
Hong Zhu ◽  
Hong Biao Xie ◽  
Lin Yuan
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Functionally Graded Materials ◽  
Wave Motion ◽  
Mass Density ◽  
Functionally Graded ◽  
P Wave ◽  
Exponential Form ◽  
Graded Materials ◽  
P Wave Velocity

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.

Cauchy formalism for Lamb waves in functionally graded plates

2018 ◽  
Vol 25 (6) ◽  
pp. 1227-1232 ◽  
Author(s):  
Sergey V. Kuznetsov
Keyword(s):  
Wave Propagation ◽  
Functionally Graded Materials ◽  
Lamb Wave ◽  
Lamb Waves ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Graded Materials ◽  
Anisotropic Plates ◽  
Transverse Inhomogeneity ◽  
Lamb Wave Propagation

Propagation of harmonic Lamb waves in plates made of functionally graded materials with transverse inhomogeneity is analyzed by applying Cauchy six-dimensional formalism previously developed for the study of Lamb wave propagation in homogeneous or stratified anisotropic plates. For anisotropic plates with arbitrary transverse inhomogeneity a closed form implicit solution for the dispersion equation is derived and analyzed.

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