^{1}

^{*}

^{2}

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.

The materials possessing linear coupling between mechanical and electric fields are termed as piezoelectric materials. Wave propagation in piezoelectric media has numerous applications in various fields of engineering. Some problems about propagation of plane waves in piezoelectric medium are studied by Kyame [

Eringen [

The propagation of surface waves in a transversely isotropic micropolar piezoelectric medium is not attempted so far. Following Aouadi [

We consider a homogeneous and transversely isotropic micropolar piezoelectric half space. We take the origin of the coordinate system on the free surface and the positive z axis along the normal into the half-space

where

We seek the surface wave solution of Equations (1) to (4) in the following form

Making use of Equation (5) in Equations (1) to (4) and applying the radiation conditions

where the expressions for coupling coefficients

The appropriate boundary conditions at

And vanishing of electric displacement component or electric potential

(for charge free case) or (for electrically shorted case), (11)

where

The particular solutions (6) to (9) satisfy the boundary conditions (10) and (11) at the free surface

where

Or

a) The secular Equation (12) reduces for a transversely isotropic micropolar elastic case when

b) The secular Equation (12) reduces for a transversely isotropic piezoelectric case when

For numerical computation of non-dimensional wave speed of Rayleigh wave, the following relevant physical constants of a transversely isotropic micropolar piezoelectric material are considered

For above physical constants and by using a Fortran program of Iteration method, the secular Equation (12) is solved numerically to obtain the non-dimensional speed

constant.

The variation of non-dimensional speed

electrically shorted (ES) cases. For CF case, the value of speed at

shorted surface on non-dimensional speed of the Rayleigh wave in a transversely isotropic micropolar piezoelectric solid half-space.

The variation of non-dimensional speed

observe the piezoelectric effects. The variation non-dimensional speed as shown by solid line (transversely isotropic micropolar piezoelectric case) in

The variation of non-dimensional speed

and 15. For

(

Using symmetry relations in constitutive coefficients and assuming the components of the displacement and microrotation vectors in the form

Singh, B. and Sindhu, R. (2016) On Propagation of Rayleigh Type Surface Wave in a Micropolar Piezoelectric Medium. Open Journal of Acoustics, 6, 35- 44. http://dx.doi.org/10.4236/oja.2016.64004

The relations between

and

Submit or recommend next manuscript to SCIRP and we will provide best service for you:

Accepting pre-submission inquiries through Email, Facebook, LinkedIn, Twitter, etc.

A wide selection of journals (inclusive of 9 subjects, more than 200 journals)

Providing 24-hour high-quality service

User-friendly online submission system

Fair and swift peer-review system

Efficient typesetting and proofreading procedure

Display of the result of downloads and visits, as well as the number of cited articles

Maximum dissemination of your research work

Submit your manuscript at: http://papersubmission.scirp.org/

Or contact oja@scirp.org