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

Abstract

In the context of Lord and Shulman theory, the generalized thermoelastic theory with thermal relaxation is used to investigate the thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole. Thermoelastic interactions are caused by a uniform step at temperature applied to the boundary of the hole which is stress-free. The problem is solved numerically using a finite element method and the numerical solutions of the non-dimensional governing partial differential equations of the problem are shown graphically. The effects of the presence and absence reinforcement on temperature, stress and displacement are studied.

Fractional Order GN Model on Thermoelastic Interaction in an Infinite Fibre-Reinforced Anisotropic Plate Containing a Circular Hole

“…In the context of the Green and Naghdi theory, 1 abbas 19 and Abbas and Abd-Alla, 22 the field equations for linear equations governing fractional order thermoelastic interactions in a fiber-reinforced linearly thermoelastic anisotropic medium whose preferred direction is that of a unit vector a, in the absence of body forces and heat sources, are as follows:…”

“…22 = 2660 kg/m 3 = 5 65×10 10 N/m 2 T = 2 46×10 10 N/m 2 L = 5 66×10 10 N/m 2 =−1 28×10 10 N/m 2 = 220 90×10 10 N/m 2…”

“…Sengupta and Nath 21 discussed the problem of surface waves in fiber-reinforced anisotropic elastic media. Abbas and Abd-Alla 22 showed that, the effect of relaxation time in generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole. Tian et al, 23 Abbas and Abbas et al [24][25][26][27] Delivered by Ingenta to: Chinese University of Hong [28][29][30] studied other problems in waves.…”

Elastic Waves in a Homogeneous/ an Inhomogeneous Fibre-Reinforced Elastic Half-Spaces

“…The propagation of plane waves and fre uency e uations ( thman et al 2012) were discussed for a thermally conducting linear ibre-reinforced composite materials. Abbas (2011) studied the two-dimensional problem for a ibre-reinforced anisotropic thermoelastic half-space with energy dissipation and compared the results with without energy dissipation. The amplitude and energy ratios of the re lected waves 18 due to incident longitudinal wave are obtained for the plane free boundary in a ibre-reinforced thermoelastic half-space.…”

“…It is very common in the ield of earth uake engineering, eophysics, Seismology, etc. There are many open literatures related with the problems of wave propagation in ibre-reinforced composite materials and notable among them are Abbas and Abd-alla (2011);Bedford and Sutherland (1973); Cates and Edwards (1984), Co-workers (2007, 2012) ;Chen et al (2011);reen (1991);thman et al (2012);Singh (2007); Singh and Tomar (2007b), Zorammuana and Singh (2015a, b) and Tomar and Singh (2006).…”