A higher-order spectral element for wave propagation analysis in functionally graded materials

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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Accurate finite-element modeling of wave propagation in composite and functionally graded materials

Composite Structures ◽

10.1016/j.compstruct.2014.06.032 ◽

2014 ◽

Vol 117 ◽

pp. 298-308 ◽

Cited By ~ 9

Author(s):

A. Idesman

Keyword(s):

Finite Element ◽

Wave Propagation ◽

Finite Element Modeling ◽

Functionally Graded Materials ◽

Functionally Graded ◽

Graded Materials ◽

Element Modeling

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A new boundary element method for modeling wave propagation in functionally graded materials

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2019.103897 ◽

2020 ◽

Vol 80 ◽

pp. 103897

Author(s):

Yang Yang ◽

Yijun Liu

Keyword(s):

Wave Propagation ◽

Boundary Element Method ◽

Boundary Element ◽

Functionally Graded Materials ◽

Functionally Graded ◽

Graded Materials ◽

Element Method

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Stochastic Assessment of Thermo-Elastic Wave Propagation in Functionally Graded Materials (FGMs) with Gaussian Uncertainty in Constitutive Mechanical Properties

Journal of Thermal Stresses ◽

10.1080/01495739.2011.605995 ◽

2011 ◽

Vol 34 (10) ◽

pp. 1071-1099 ◽

Cited By ~ 12

Author(s):

Seyed Mahmoud Hosseini ◽

Farzad Shahabian

Keyword(s):

Mechanical Properties ◽

Wave Propagation ◽

Elastic Wave ◽

Functionally Graded Materials ◽

Functionally Graded ◽

Elastic Wave Propagation ◽

Graded Materials

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Dynamic instability of nanocomposite piezoelectric‐ leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

Polymer Composites ◽

10.1002/pc.26373 ◽

2021 ◽

Author(s):

M. S. H. Al‐Furjan ◽

Y. Yang ◽

Ahmad Farrokhian ◽

X. Shen ◽

Reza Kolahchi ◽

...

Keyword(s):

Functionally Graded Materials ◽

Strain Gradient ◽

Dynamic Instability ◽

Higher Order ◽

Functionally Graded ◽

Graded Materials

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The Higher Order Crack-Tip Field for Reissner's Bidirectional FGMs Spherical Shell

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.748.341 ◽

2013 ◽

Vol 748 ◽

pp. 341-344

Author(s):

Yao Dai ◽

Zhang Lei ◽

Xiao Chong

Keyword(s):

Spherical Shell ◽

Functionally Graded Materials ◽

Superposition Principle ◽

Crack Tip ◽

Higher Order ◽

Functionally Graded ◽

Homogeneous Material ◽

Crack Tip Field ◽

Graded Materials ◽

Crack Problems

The crack tip fields for a cracked functionally graded materials spherical shell considering Reissners effect are obtained. Similar to Williams solution for homogeneous material, the eigen-solution of the crack tip field for bi-directional FGMs spherical shell is obtained by stress superposition principle. This result can be used to deal with the crack problems for FGMs shell.

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