Abstract
In the present paper, the governing equations of a linear transversely isotropic micropolar piezoelectric medium are specialized for x-z plane after using symmetry relations in constitutive coefficients. These equations are solved for the general surface wave solutions in the medium. Following radiation conditions in the half-space, the particular solutions are obtained, which satisfy the appropriate boundary conditions at the stress-free surface of the half-space. A secular equation for Rayleigh type surface wave is obtained. An iteration method is applied to compute the non-dimensional wave speed of the Rayleigh surface wave for specific material parameters. The effects of piezoelectricity, non-dimensional frequency and non-dimensional material constant, charge free surface and electrically shorted surface are shown graphically on the wave speed of Rayleigh wave.
Highlights
The materials possessing linear coupling between mechanical and electric fields are termed as piezoelectric materials
The governing equations of a linear transversely isotropic micropolar piezoelectric medium are specialized for x-z plane after using symmetry relations in constitutive coefficients
The comparison of solid ( ω* = 5 ), dotted ( ω* = 10 and dotted with star A33 ( ω* = 15 ) lines in Figure 3 show the effect of non-dimensional frequency and non-dimensional material constant on non-dimensional speed of Rayleigh wave in a transversely isotropic micropolar piezoelectric solid half-space with charge free surface
Summary
The materials possessing linear coupling between mechanical and electric fields are termed as piezoelectric materials. Some problems about propagation of plane waves in piezoelectric medium are studied by Kyame [1], Pailloux [2] and Hruska [3]. Craciun [13] formulated the basic equations of the linear theory of piezoelectric micropolar thermoelasticity with quasi-static electric fields. Aouadi [17] considered the linear dynamic theory of micropolar piezoelectricity and established a reciprocity relation with two processes at different instants. Gales [18] considered the linear theory of micromorphic piezoelectricity and formulated the initial boundary value problem and presented some uniqueness results. Following Aouadi [17], the governing equations for a transversely isotropic micropolar piezoelectric medium are formulated in x-z plane and are solved for possible surface waves. The dependence of non-dimensional wave speed on frequency, material constants and electric field is shown graphically
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