The conditions that strain energy tensor and necessary condition on the roots of a constitutive equation must be positive definite produces some inequalities. These inequalities reduce the number of Rayleigh waves in orthotropic and transversely isotropic materials. Some earlier published work is found to be erroneous.

Objective: The objective is to obtain the stresses due to strip loading in orthotropic plate lying over an irregular isotropic elastic medium. Methods: Anti-plane strain problem with perfect bonding boundary conditions following by Fourier Transformation on the equilibrium equation are used to obtain the solution. The deformation field due to shear line load at any point of the medium consistin...

Keywords: Incompressible Initial stress Anisotropic S-wave Gravity field a b s t r a c t In this paper, propagation of shear waves in a non-homogeneous anisotropic incompress-ible, gravity field and initially stressed medium is studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends upon the direction of propagation, the anisotropy, gravity field, non-ho...

Analysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration are obtained and discussed. Special cases ...

The theory of crack propagation in orthotropic media is developed by applying the theory of incremental deformations in the vicinity of a state of initial stress. This is carried out in the context of a new approach to analytical methods and a physical analysis which takes into account plastic deformation under prestress. The state of initial stress is triaxial along the directions of elastic s...

The problem of Stoneley waves in a non-homogeneous orthotropic elastic medium under the influence of gravity was studied recently by Abd-Alla and Ahmed [A.M. Abd-Alla, S.M. Ahmed, Stoneley waves and Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity, Appl. Math. Comput. 135 (2003) 187-200], who derived the secular equation of the wave in the implicit f...

In this paper, we derive the second-order crack opening displacement tensor for an arbitrarily oriented elliptical in elliptically orthotropic (EO) matrix. This result is obtained explicit closed form. The approach based on Saint-Venant’s idea of linear transformation between boundary value problems and isotropic bodies. solution utilizes classical representation ellipsoid where smallest aspect...

The aim of this paper is to investigate the influences of rotation, magnetic field, initial stress, and gravity field on Rayleigh waves in a homogeneous orthotropic elastic medium. The government equations is solved by Lame’s potential and obtained the frequency equation which determines the velocity of Rayleigh waves, including rotation, initial stress, gravity field, and magnetic field, in a ...