Liouville-Green approximation: An analytical approach to study the elastic waves vibrations in composite structure of piezo material

Torsional and SH surface waves in an isotropic and homogenous elastic half-space characterized by the Toupin-Mindlin gradient theory

The present paper is devoted to study the propagation of Love wave in a piezoelectric layer overlying an inhomogeneous half-space. This paper deals with two different piezoelectric layers, one is an electrically open and another is an electrically short circuit. As mathematical tools, the method of separation of variables and Whittaker’s function are applied to obtain the dispersion equation of Love wave. In a particular case the dispersion equation reduces to the classical equation of Love wave when the layer is not piezoelectric and half-space is homogeneous. The numerical values of the dimensionless phase velocities are calculated and presented graphically to illustrate the effects of inhomogeneity, piezoelectricity and dielectric constants. It is observed that the phase velocities decrease with the increase of inhomogeneity parameters and electricity constant. It is also found that the phase velocity increases with the increases of the dielectric constant. Graphical user interface software has been de...

Love wave propagation in a piezoelectric layer overlying in an inhomogeneous elastic half-space:

This paper aims to study the propagation of Love waves in fiber-reinforced layer lying over a gravitating anisotropic porous half-space. The closed form of dispersion equation has been derived for the Love waves in terms of Whittaker function and its derivative, which are further expanded asymptotically, retaining the terms up to second degree. The frequency equation shows that the transverse and longitudinal rigidity of reinforced material, as well as gravity and porosity of the porous halfspace have significant effect on the propagation of Love waves. The study reveals that the increment in width of reinforced layer decreases the phase velocity. For a particular width of the reinforced layer, it is also observed that the phase velocity increases with increasing porosity of the half-space, but it decreases with increasing gravity.

Love waves in the fiber-reinforced layer over a gravitating porous half-space

Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces

Surface wave propagation in fiber-reinforced anisotropic elastic layer between a liquid saturated porous half space and a uniform liquid layer is considered. Equation of motion and suitable boundary conditions give rise to a dispersion equation in the form of a ninth order determinant. Phase velocity and group velocity of a particular model have been studied.

Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer

Propagation of a Love wave in an initially stressed fluid-saturated anisotropic porous layer with an irregular boundary sandwiched between two isotropic half-spaces has been studied. The irregularity is assumed to be rectangular, and the perturbation method is used to obtain the displacement field in the porous layer. Finally, the dispersion relation for the assumed model is obtained, and the result is compared with those derived for the flat layer theory. The effect of porosity, initial stress, and irregularity of the porous layer in phase velocity is studied and shown graphically.

Dispersion of Love Wave Propagating in Irregular Anisotropic Porous Stratum under Initial Stress

Propagation of torsional surface wave in anisotropic poroelastic medium under initial stress

The paper present a theoretical investigation of the propagation of Love waves past an anisotropic fluid saturated porous layer with irregular periodic boundaries and sandwiched between two elastic isotropic half spaces. The porous layer is assumed to be initially stressed. Fourier series expansion has been implemented to describe the irregular boundaries of the layer. Using appropriate boundary conditions a closed form dispersion and absorption relation for Love wave in the porous layer have been derived. The dispersion equation has been investigated extensively through numerical calculation for particular irregular interface to explore the effect of non dimensional average thickness and the periodic roughness of the boundaries on the phase velocity of Love wave. Also the effect of initial stress as well as the porosity on wave velocity is studied. A comparative study has been carried out through various graphs to study the consequence of different parameters on the phase velocity between porous and corresponding non porous layer. A close compliance is also established in some special cases to the existing solutions available from analytical methods.

Ranjan Chattaraj

Papers

Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer

Dispersion of Love Wave Propagating in Irregular Anisotropic Porous Stratum under Initial Stress

Love waves in the fiber-reinforced layer over a gravitating porous half-space

Propagation of torsional surface wave in anisotropic poroelastic medium under initial stress

On dispersion of Love type surface wave in anisotropic porous layer with periodic non uniform boundary surface