中文摘要：

为解决考虑温度变化的黏弹性体动态热应力问题,从材料的热黏弹性力学性质出发,依据热黏弹性Kelvin-Voigt微分型本构方程及热传导理论和拉普拉斯积分变换方法,求解了带球形空腔的无限大体的动态热应力问题,得到具有温度相关性的黏弹性材料的热应力动态问题的控制方程组,获得位移和应力在拉普拉斯变换域内的精确解,数值求解Laplace逆变换,给出了温度、位移和应力的分布图.

英文摘要：

In order to solve the dynamic thermal-stress problems of thermo-viscoelasticity,considering the properties of thermo-visco-elasticity materials,and according to the Kelvin-Voigt differential type constitution equations of thermo-visco-elasticity,thermal conduction theory and Laplace integral transform method,the dynamic thermal-stress problem of an infinite material with a spherical cavity was solved,we got control equations and the exact solutions of displacement and stress in Laplace transform fields were gained.The distribution graphs of temperature,displacement and stress were given by numerical inverse transform.