The present study dwells with the propagation of quasi seismic qP waves in an initially stressed highly anisotropic viscoelastic triclinic layer which is in sliding contact with the upper initially stressed viscoelastic triclinic half-space. The propagation characteristics of all the reflected/transmitted wave generated by the incident qP wave through initially stressed viscoelastic triclinic substratum have been analysed in detail. Closed-form analytical expressions for reflection/transmission (RT) angles, velocity and coefficients of all the propagating waves have been derived. Effects of incident angle, layer width, initial stress and sliding parameter have been analysed and shown graphically. The energy ratio and slowness diagram have also been calculated and depicted graphically. Particular cases of free and fixed welded interface are analysed and drawn for validating the results of numerical simulation. Present work may be useful in domain with highly anisotropic viscoelastic geomedia equipped with initial stress and imperfect bonding between different interfaces such as transform-fault boundary.

On Reflection and Transmission of Qp Waves in Initially Stressed Viscoelastic Triclinic Layer Between Distinct Triclinic Geomedia with Sliding Interface

The present research work is the analysis of the reflection problem in a magnetized rotating triclinic solid half-space in the presence of a temperature field. The governing equations of a rotating...

Reflection of plane waves in a fraction-order generalized magneto-thermoelasticity in a rotating triclinic solid half-space

A Mathematical model has been considered to study the reflection and refraction phenomenon of plane wave at the interface of an isotropic liquid medium and a triclinic (anisotropic) half-space. The incident plane qP wave generates three types of reflected waves namely quasi-P (qP), quasi-SV (qSV) and quasi-SH (qSH) waves in the triclinic medium and one refracted P wave in the isotropic liquid medium. Expression of phase velocities of all the three quasi waves have been calculated. It has been considered that the direction of particle motion is neither parallel nor perpendicular to the direction of propagation in anisotropic medium. Some specific relations have been established between directions of motion and propagation. The expressions for reflection coefficients of qP, qSV, qSH and refracted P waves with respect to incident qP wave are obtained. Numerical computation and graphical representations have been performed for the reflection coefficient of reflected qP, reflected qSV, reflected qSH and refraction coefficient of refracted P wave with incident qP wave.

http://jsm.iau-arak.ac.ir/article_668914_7b9b506ce9bb290766a03151c5eee8a7.pdf

Wave Reflection and Refraction at the Interface of Triclinic and Liquid Medium

An approach of Green’s function is adopted to solve the inhomogeneous linear differential equations representing wave equations in piezo-composite materials. In particular, transference of horizontally polarised shear (SH) waves is considered in bedded structure comprising of porous-piezo electric layer lying over a heterogeneous half-space. Propagation of SH-waves is considered to be influenced by point source, situated in the heterogeneous substrate. A closed form analytical solution is obtained to establish the dispersion relation. Remarkable influence of different parameters (like elastic constant, piezoelectric constant, heterogeneity parameter, initial stress and layers thickness) on the phase and group velocity are shown graphically. Moreover, a special case of present study is shown by replacing the porous piezoelectric material with piezoelectric material. Some numerical examples are illustrated by taking the material constants of Lead Zirconate Titanate (PZT-1, PZT-5H and PZT-7) for the porous piezoelectric layer where the phase velocity of SH waves is high rather than that of piezoelectric layer.

http://jsm.iau-arak.ac.ir/article_670426_9364591eb0cdb4981252a9f452a23017.pdf

Method of Green’s Function for Characterization of SH Waves in Porous-Piezo Composite Structure with a Point Source

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Wave Reflection and Refraction at the Interface of Triclinic and Liquid Medium

Method of Green’s Function for Characterization of SH Waves in Porous-Piezo Composite Structure with a Point Source