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Piezoelectric effect on thermoelastic Lamb waves in functionally graded plates

Wang X., Ren X., Yu J., Zhou H., Zhang X., Leng J

Archives of Mechanics

2023

Vol. 75, nr 1-2

3--26

Based on the Lord–Shulman thermoelectric elasticity theory, the piezoelectric effect on the thermoelastic Lamb wave propagation in the functionally graded material (FGM) plate is investigated. The coupled wave equations are solved by employing the Legendre polynomial series approach (LSPA), which poses the advantages of small scale of eigenvalues matrix and a convenient solution. It can directly obtain the complex wave number solutions without iteration. The obtained complex solutions, which represent the wave propagation and attenuation, are compared with those available data. Numerical examples show that the influence of gradient is profound. Results indicate that the piezoelectric effects on attenuation with the open and closed circuit condition are consistent for the S0 and S1 modes, but are inconsistent for the A0 and A1 modes. Although the piezoelectric effect is weak on the dispersion and attenuation of thermal waves, it is notable for their physical field distributions. In addition, the relaxation time is critical to electric displacements of a thermal wave mode, but is not essential for those of Lamb-like modes. The results can be used for the optimization of thermo-electric-elastic coupling structures.

Green tensor and regular solutions of equations of rods thermodynamics and their properties

Alexeyeva Lyudmila, Dadayeva Assyat, Ainakeyeva Nursaule

Journal of Theoretical and Applied Mechanics

2021

Vol. 59 nr 2

227--238

In the present paper, solutions of the equations of uncoupled thermoelastodynamics of ther- moelastic rods are constructed for power and thermal effects. Based on the Fourier transform, the Green tensor and generalized solutions of the thermoelasticity equations are constructed in the original space-time using the apparatus of generalized functions theory. Analytical formulas for definitions of the thermal stress-strain state of the rods taking into account its thermoelastic parameters are obtained. Shock thermoelastic waves are considered and con- ditions on their fronts are obtained. The results of numerical calculations of Green tensor are presented.

Comments on "Archives of Civil and Mechanical Engineering 17 (2017) 564–573"

Pantokratoras A.

Archives of Civil and Mechanical Engineering

2018

Vol. 18, no. 4

1643--1644

The present comment concerns some doubtful results included in the above paper.