Rayleigh Surface Waves In A Transversely Isotropic Microstretch Elastic Solid Half Space
نویسندگان
چکیده
The linear governing equations of a transversely isotropic microstretch elastic solid medium are formulated and solved for surface wave solutions. The appropriate solutions satisfying the radiation conditions are applied to the required boundary conditions at the free surface of the halfspace of the medium. A frequency equation is obtained for Rayleigh surface wave in the medium. The non-dimensional speed of the propagation of Rayleigh surface wave is computed for a specific model of the material and is shown graphically to observe the effects of non-dimensional constants and nondimensional frequency. Keywords—Rayleigh surface wave, Frequency equation, Speed of propagation, Transverse isotropy, Microstretch elastic solid.
منابع مشابه
Wave propagation in a transversely isotropic microstretch elastic solid
Background: The theory of microstretch elastic bodies was first developed by Eringen (1971, 1990, 1999, 2004). This theory was developed by extending the theory of micropolar elastcity. Each material point in this theory has three deformable directors. Methods: The governing equations of a transversely isotropic microstretch material are specialized in x-z plane. Plane wave solutions of these g...
متن کاملRayleigh Wave in an Initially Stressed Transversely Isotropic Dissipative Half-Space
The governing equations of a transversely isotropic dissipative medium are solved analytically to obtain the surface wave solutions. The appropriate solutions satisfy the required boundary conditions at the stress-free surface to obtain the frequency equation of Rayleigh wave. The numerical values of the non-dimensional speed of Rayleigh wave speed are computed for different values of frequency...
متن کاملRayleigh Wave in an Incompressible Fibre-Reinforced Elastic Solid Half-Space
In this paper, the equation of motion for an incompressible transversely isotropic fibre-reinforced elastic solid is derived in terms of a scalar function. The general solution of the equation of motion is obtained, which satisfies the required radiation condition. The appropriate traction free boundary conditions are also satisfied by the solution to obtain the required secular equation for...
متن کاملEffect of Micropolarity, Microstretch and Relaxation times on Rayleigh Surface Waves in Thermoelastic Solids
The present paper is an investigation on the propagation of Rayleigh surface waves in a homogeneous, isotropic, thermally conducting microstretch elastic solid half-space in the context of non classical (generalized) theories of thermoelasticity. The secular equations in closed form and isolated mathematical conditions are derived for Rayleigh wave propagation in such solids. The amplitude rati...
متن کاملA Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces
The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...
متن کامل