Thermo‐viscoelastic behavior in an infinitely thin orthotropic hollow cylinder with variable properties under the non‐Fourier MGT thermoelastic model

Abstract

AbstractThe purpose of this work is to investigate the influences of viscosity and the variation of thermal conductivity on the thermoelastic vibrations in a very thin hollow cylinder. The generalized thermal model has been developed using the Moore Gibson‐Thompson (MGT) equation by adding relaxation time in the developed Fourier law according to Green‐Naghdi theories. In addition to the initial conditions, some boundary conditions have been taken into consideration on the inner and external surface of the hollow solid cylinder. Unlike many problems in which the coefficient of thermal conductivity is assumed to be constant, it has been taken into account that it is variable and depends on the change of temperature. By applying the Laplace transform method, the numerical solutions are assigned to the studied physical quantities. The studied quantities have been presented graphically and in tabular form to compare the outcomes for various models of thermoelasticity and to illustrate the influences of changing thermal properties and viscosity on the physical fields.