This paper establishes a model of heat conduction and thermo-dynamic responses of a spherical cavity under shocks of both heat and pressure whose distributions versus time are arbitrary.

• 以温度和位移为未知变量，建立了当内壁面受到随时间任意分布的热和力联合冲击作用时，含球型空腔无限弹性介质的球对称热传导和热动力响应模型；