Reflection-Refraction of a Stress Wave at a Plane Boundary between Anisotropic Media

Abstract

A review is given of the pertinent equations necessary to describe the reflected and refracted waves at a plane boundary between anisotropic media and the utility of the wave surface in discussing this problem. The critical angle phenomenon in anisotropic media is discussed in terms of the energy flux vector associated with the reflected and refracted modes. The critical angle is shown to occur generally at that angle of incidence for which the energy flux vector of the reflected or refracted mode is parallel to the boundary and not when the wave vector is parallel to the boundary. The possibility of not needing a nonhomogeneous surface wave to satisfy the boundary conditions at angles of incidence greater than the critical angle is discussed for certain particular regions in some anisotropic materials.

Reflection and Refraction of SH-Waves at a Corrugated Interface between Two-Dimensional Transversely Isotropic Half-Spaces.

“…Musgrave (1960) treated the problem of reflection and refraction of plane elastic waves at a plane boundary between aelotropic media. Henneke (1972) studied the effect of anisotropy on the reflection and refraction of stress waves at a plane boundary in anisotropic media. Thapliyal (1974) studied the effect of anisotropy on the reflection of SH-waves from an anisotropic transition layer that lies between two isotropic half-spaces.…”

Ultrasonic Backscatter Rotation Scanner for Detection of Ply Bends and Fiber Wrinkles

“…The refracted angle, 9 2 , for anisotropic materials is calculated by a generalized form of Snell's Law [7]. With the material of this study, the matrix material was sufficiently stiff so that there was no substantial anisotropy evidenced in the ultrasonic wavespeed and so the standard form of Snell' s Law was used.…”

41240 Acousto-ultrasonic input-output characterization of unidirectional fiber composite plate by P waves

“…The stress boundary conditions on the stress-free plane boundary require that [2] Txz(I) + TXZ(R) -0…”

“…Let a plane progressive wave be represented as [2] (u, v, w) -A (P x ' P y , P z ) exp{iw(Sxx + Syy + Szz -t)}…”