Effect of gravity on wave propagation in piezoelectric medium based on fractional thermoelastic theory

Abstract

Abstract: Based on the fractional thermoelastic theory, the effect of gravity on wave propagation in half space under periodic loading is studied. The governing equations under the fractional generalized thermoelastic theory are given, and the normal mode analysis is used to solve the governing equations. The distribution laws of dimensionless physical quantities such as temperature, displacement, stress and electric displacement in the half space infinite piezoelectric medium are obtained. The effects of fractional order parameters and gravity on the physical quantities are mainly studied. The results show that the thermoelastic coupling effect appears in the half space infinite piezoelectric medium due to the periodic load, and the fractional order parameters and gravity significantly affect the distribution of physical quantities.

Key words: wave propagation, gravity, fractional order theory, piezo-thermoelasticity, normal mode analysis

CLC Number:

O343.6

MA Yong-bin, ZHANG Jian-min. Effect of gravity on wave propagation in piezoelectric medium based on fractional thermoelastic theory[J]. Journal of Lanzhou University of Technology, 2022, 48(2): 163-172.

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