Thermoelastic guided wave in fractional order functionally graded plates: An analytical integration Legendre polynomial approach

2021 ◽  
Vol 256 ◽  
pp. 112997
Author(s):  
Xianhui Wang ◽  
Fanglin Li ◽  
Xiaoming Zhang ◽  
Jiangong Yu ◽  
Hui Qiao
Keyword(s):  
Fractional Order ◽  
Legendre Polynomial ◽  
Guided Wave ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Analytical Integration

Modeling guided wave propagation in functionally graded plates by state-vector formalism and the Legendre polynomial method

Ultrasonics ◽  
2019 ◽  
Vol 99 ◽  
pp. 105953
Author(s):  
Jie Gao ◽  
Yan Lyu ◽  
Mingfang Zheng ◽  
Mingkun Liu ◽  
Hongye Liu ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Legendre Polynomial ◽  
State Vector ◽  
Guided Wave ◽  
Functionally Graded ◽  
Polynomial Method ◽  
Functionally Graded Plates ◽  
Guided Wave Propagation

Acoustic wave propagation in continuous functionally graded plates: an extension of the Legendre polynomial approach

2001 ◽  
Vol 48 (5) ◽  
pp. 1332-1340 ◽  
Author(s):  
J.E. Lefebvre ◽  
V. Zhang ◽  
J. Gazalet ◽  
T. Gryba ◽  
V. Sadaune
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Legendre Polynomial ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Acoustic Wave Propagation

Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders

2021 ◽  
pp. 108128652110134
Author(s):  
B. Zhang ◽  
X.H. Wang ◽  
L. Elmaimouni ◽  
J.G. Yu ◽  
X.M. Zhang
Keyword(s):  
Coupling Effect ◽  
Energy Conversion Efficiency ◽  
Guided Wave ◽  
Functionally Graded ◽  
Phonon Modes ◽  
One Dimensional ◽  
Longitudinal Modes ◽  
Wave Characteristics ◽  
Piezoelectric Effects ◽  
Hollow Cylinders

In one-dimensional hexagonal piezoelectric quasi-crystals, there exist the phonon–phason, electro–phonon, and electro–phason couplings. Therefore, the phonon–phason coupling and piezoelectric effects on axial guided wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal (FGPQC) cylinders are investigated by utilizing the Legendre polynomial series method. The dispersion curves and cut-off frequencies are illustrated. Wave characteristics in three hollow cylinders with different quasi-periodic directions are comparatively studied. Some new wave phenomena are revealed: the phonon–phason coupling and piezoelectric effects on the longitudinal and torsional phonon modes ( N = 0) vary as the quasi-periodic direction changes; the phonon–phason coupling effect on flexural–torsional modes in the r-, z-FGPQC hollow cylinders, and on flexural–longitudinal modes in ϑ-FGPQC hollow cylinders increases as N increases. The corresponding results obtained in this work lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.

3D analytical solution for multilayer functionally graded plates with viscoelastic interlayers

2021 ◽  
pp. 1-20
Author(s):  
Ming Wang ◽  
Zhiyuan Yang ◽  
Peng Wu ◽  
Hai Fang ◽  
Ruili Huo
Keyword(s):  
Analytical Solution ◽  
Functionally Graded ◽  
Functionally Graded Plates

scholarly journals Static and Dynamic Buckling of Rectangular Functionally Graded Plates Subjected to Thermal Loading

2013 ◽  
Vol 45 (6) ◽  
pp. 666-673 ◽  
Author(s):  
L. Czechowski ◽  
K. Kowal-Michalska
Keyword(s):  
Thermal Loading ◽  
Dynamic Buckling ◽  
Functionally Graded ◽  
Functionally Graded Plates
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