Elastic Wave Propagation in a Class of Cracked, Functionally Graded Materials by BIEM

2006 ◽  
Vol 39 (3) ◽  
pp. 293-308 ◽  
Author(s):  
P. S. Dineva ◽  
T. V. Rangelov ◽  
G. D. Manolis
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Elastic Wave Propagation ◽  
Graded Materials

Elastic wave propagation in 2D-FGM hollow cylinders with curved outer surface under moving shock loading using isogeometric analysis

2020 ◽  
pp. 095440622096076
Author(s):  
Ahmad Yavari ◽  
Mohammad Hossein Abolbashari ◽  
Behrooz Hassani
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Hollow Cylinder ◽  
Outer Surface ◽  
Material Properties ◽  
Shock Loading ◽  
Propagation Speed ◽  
Elastic Field ◽  
Functionally Graded ◽  
Elastic Wave Propagation

Analysis of elastic wave propagation in a hollow cylinder with two-dimensional (2D) functionally graded material (FGM) and the curved outer surface under internal moving shock loading is the subject of this study. In the proposed method, there is no restriction on the distribution of material properties, the shape of the outer surface, and the applied shock loading. They are treated with non-uniform rational B-spline (NURBS). The isogeometric approach is developed for solving the problem to ensure precise modeling of the geometry. Also, the Newmark approach is used for full discretization of the isogeometric equations. The distributions of all elastic field quantities are determined for two types of material distributions and shock loadings. The effects of shock loadings, the shape of the outer surface, and the material distribution on the elastic wave are thoroughly examined. Propagation, reflections, and propagation speed inside the hollow cylinder are investigated. It is found that the propagation speeds of elastic waves have a distribution associated with the distribution of the material properties. Also, the shape of the outer surface can affect the amplitude of the elastic wave and the locations of concentration stress. It is concluded that the sonic boom phenomenon occurs in the solids as well as in the air.

Tunable elastic wave propagation in planar functionally graded metamaterials

2020 ◽  
Vol 231 (8) ◽  
pp. 3363-3385 ◽  
Author(s):  
Soroush Sepehri ◽  
Hamid Jafari ◽  
Mahmoud Mosavi Mashhadi ◽  
Mohammad Reza Hairi Yazdi ◽  
Mir Masoud Seyyed Fakhrabadi
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Functionally Graded ◽  
Elastic Wave Propagation

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.

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