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An inviscid liquid half-space is considered in welded contact with a orthotropic micropolar solid half-space. Appropriate plane harmonic solutions of equations governing a liquid half-space and an orthotropic solid half-space are obtained. These solutions satisfy the required boundary conditions at the interface to obtain a system of four nonhomogeneous equations in amplitude ratios for incident quasi-longitudinal displacement wave. The amplitude ratios of various reflected and refracted waves are computed numerically for a particular example of the present model. The effect of anisotropy upon these amplitude ratios is shown graphically for a particular range of the angle of incidence.

Material response to external stimuli depends heavily on the motions of its inner structures. Classical elasticity does not include this effect, where only translation degrees of freedom of material point of body is considered. Eringen [

Parfitt and Eringen [

The assumptions of isotropy in the solid medium may not capture some significant features of the continuum responses of soils, geological materials, and composites. Iesan [

The study of wave motions at liquid-solid interface has been a topic of research for the last many years. Recently, Singh [

We consider a homogeneous and orthotropic medium of an infinite extent with Cartesian coordinate system

Solutions of (

Using (

If we put

If we put

We consider a homogeneous and orthotropic micropolar medium and a liquid medium of an infinite extent with cartesian coordinate system

Geometry of the problem.

With the help of above displacement and microrotation components, the boundary conditions (

The following relevant physical constants are chosen arbitrarily for a composite as an orthotropic micropolar material due to unavailability of relevant experimental data for such material in literature [

The following physical constants for inviscid liquid are considered

For the incidence of

Variations of amplitude ratios of reflected QLD, QCTM, QCTD and refracted longitudinal waves against the angle of incidence.

The relevant boundary conditions at an interface between the liquid half-space and orthotropic micropolar solid half-space interface are satisfied by appropriate solutions in the both half-spaces to obtain the relations between reflection and transmission coefficients of various reflected and refracted waves for the incidence of QLD, QCTM, or QCTD wave. The numerical computations are carried out for the incidence of QLD wave only. The dependence of reflection and transmission coefficients on the angle of incidence is shown graphically to observe the effect of orthotropy in solid medium. The present numerical study might provide more relevant information about the wave propagation in orthotropic material if we had relevant experimental physical data for an orthotropic micropolar material. The present theoretical and numerical analysis may be helpful to experimental seismologists working in the fields of wave propagation in solids.