Anisotropy measured with shear and Rayleigh waves in rolled plates

Abstract The Rayleigh wave velocity is derived for propagation on polycrystalline metal plates with weakly orthorhombic anisotropy modelling the rolling texture. Use is made of the texture weakness to solve the velocity in a perturbation scheme. For the fully orthorhombic case, there was found no simple relation between the velocity difference of Rayleigh waves propagating along the principal axes of texture and the birefringence of shear waves propagated in the thickness direction. However, for the cubic metals the result is reduced to their linear relation to the substitution of crystallite orientation distribution function expanded with spherical harmonics. This relation has been obtained by Sayers. The application of texture-independent measurement of principal stress difference is discussed.