Wave propagation analysis in transversely isotropic piezoelastic medium based on nonlocal strain gradient theory

Trinh Thi Thanh Hue, Do Xuan Tung
Author affiliations

Authors

  • Trinh Thi Thanh Hue Faculty of Building and Industrial Construction, Hanoi University of Civil Engineering, 55 Giai Phong Street, Hanoi, Vietnam
  • Do Xuan Tung Faculty of Civil Engineering, Hanoi Architectural University, Km 10 Nguyen Trai Street, Thanh Xuan, Hanoi, Vietnam https://orcid.org/0000-0001-6731-4109

DOI:

https://doi.org/10.15625/0866-7136/19604

Keywords:

dispersion equation, nonlocal, gradient, transversely isotropic, piezoelectric

Abstract

The purpose of this research is to study the propagation of surface waves in transversely isotropic piezoelastic medium based on nonlocal strain gradient theory. A characteristics equation for the existence of surface waves is discussed. This equation could be easily reduced to the ones of the gradient strain theory, nonlocal theory, and classical theory. It has also been concluded that there exist cut-off frequency for the wave propagating in size-dependent materials based on the nonlocal strain gradient theory. The dispersion equation which surface wave speed satisfies is derived from the free traction condition on the surface of half-space with consideration of electrically open circuit conditions. The effect of the nonlocal parameter, the strain gradient parameter on the existence of surface waves as well as the Rayleigh wave propagation is illustrated through some numerical examples.

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Published

31-12-2023

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