The present contribution aims to address a problem of thermoviscoelasticity for the analysis of the transition temperature and thermal stresses in an infinitely circular annular cylinder. The inner surface is traction-free and subjected to thermal shock heating, while the outer surface is thermally insulated and free of traction. In this work, in contrast to the various problems in which the thermal conductivity coefficient is considered to be fixed, this parameter is assumed to be variable depending on the temperature change. The problem is studied by presenting a new generalized thermoelastic model of thermal conductivity described by the Moore–Gibson–Thompson equation. The new model can be constructed by incorporating the relaxation time thermal model with the Green–Naghdi type III model. The Laplace transformation technique is used to obtain the exact expressions for the radial displacement, temperature and the distributions of thermal stresses. The effects of angular velocity, viscous parameter, and variance in thermal properties are also displayed to explain the comparisons of the physical fields.

本发明旨在解决热粘弹性问题，以分析无限圆环形圆柱体中的转变温度和热应力。内表面无牵引力，并承受热冲击加热，而外表面则隔热，无牵引力。在这项工作中，与认为导热系数固定的各种问题相反，该参数被假定为随温度变化而变化。通过提出一个新的由Moore–Gibson–Thompson方程描述的热导率的广义热弹性模型来研究该问题。新模型可以通过将弛豫时间热模型与Green-Naghdi III型模型合并来构造。拉普拉斯变换技术用于获得径向位移，温度和热应力分布的精确表达式。还显示了角速度，粘性参数和热特性变化的影响，以解释物理场的比较。