Moore-Gibson-Thompson thermoelasticity model with temperature-dependent properties for thermo-viscoelastic orthotropic solid cylinder of infinite length under a temperature pulse

This study introduces a general concept and thermoviscoelastic heat transfer model including Moore-Gibson-Thompson (MGT) equation. The proposed model is based on theories of thermoelasticity with relaxation time and the Green and Naghdi (GN-III) model in its formulation. In a thermoviscoelastic orthotropic cylinder, the proposed model is used to investigate the behavior of thermal and mechanical waves. The viscoelastic material is often thought to be Kelvin-Voigt kind. Also, the medium is thought to have variable properties that change with temperature and are affected by temperature pulses. By the Laplace transforms process, the general solutions for field variables are obtained. Numeric results are described graphically for various distributions such as dynamic temperature, radial displacement and thermophysical stresses. The obtained numerical findings are discussed to explain the influence of temperature pulse, viscoelasticity and thermal conductivity change on the fields under analysis. In addition to the above, comparisons have been made between the different thermoelasticity models which may be derived as particular cases from the presented model.