Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

Abstract

In the present article, we introduced a new model of the equations of generalized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.

A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium

“…Furthermore, the final expressions of stresses may be derived using the previous equations and Equations ( 27)- (29). That is,…”

“…Sharifi [28] applied the LS-coupled thermoelasticity theory to address the thermal shock issue in an orthotropic spinning disk. Mashat et al [29] proposed a novel model of generalized thermoelasticity formulas for a rotating infinite orthotropic structure with a cylindrical hole under thermal shock. Abbas and Zenkour [30] applied Green-Naghdi (GN) model to examine the impact of initial stress and rotation on the thermal shock problem of a fiber-reinforced anisotropic half-space.…”