Surface waves in fibre-reinforced anisotropic elastic media

Abstract

The aim of this paper is to investigate surface waves in anisotropic fibre-reinforced solid elastic media. First, the theory of general surface waves has been derived and applied to study the particular cases of surface waves -Rayleigh, Love and Stoneley types. The wave velocity equations are found to be in agreement with the corresponding classical result when the anisotropic elastic parameters tends to zero. It is important to note that the Rayleigh type of wave velocity in the fibre-reinforced elastic medium increases to a considerable amount in comparison with the Rayleigh wave velocity in isotropic materials.

Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids

“…For k = 0 and by ignoring the voids and gravitational effects our results are same as that of Sengupta and Nath (2001). If one ignores the fibrereinforced parameters also then results are same as Rayleigh (1885).…”

“…Study of the phenomenon of rgravity field is also used to improve the conditions of oil extractions. Finally, if the rotation is neglected, the relevant results obtained are deduced to the results obtained by Sengupta and Nath (2001).…”

“…That is why we called it Rayleigh waves. Sengupta and Nath (2001) investigated surface waves in fibre-reinforced anisotropic elastic media but their decomposition of displacement vector was not correct due to which some errors are found in their investigations (Sarvajit, 2002).…”

A Study of Generalized Thermoelastic Interaction in an Infinite Fibre-Reinforced Anisotropic Plate Containing a Circular Hole

“…Sengupta and Nath [2] discussed the problem of surface waves in fibre-reinforced anisotropic elastic media. Singh [3] showed that, for wave propagation in fibre--reinforced anisotropic media, this decoupling cannot be achieved by the introduction of displacement potentials.…”

Shear waves at a corrugated interface between two dissimilar fiber-reinforced elastic half-spaces

“…Later, Chattopadhyay and Choudhury [1995] studied magnetoelastic shear waves in an infinite self-reinforced elastic plate. Sengupta and Nath [2001] investigated surface waves (Rayleigh, Love and Stoneley types) in anisotropic fiber-reinforced solid elastic media. Pradhan et al [2003] studied the dispersion of Love waves in a self-reinforced layer over an elastic non-homogeneous half-space.…”