中文摘要：

在有限变形动力学的框架下,采用Kelvin-Voigt微分型热黏弹性本构关系,建立球体内空穴运动的非线性数学模型,得到了球体的几何参数和材料参数与空穴生成时临界温度的变化关系;给出空穴半径随时间增长的动态变化曲线,并讨论外界温度场、球体的几何尺寸和材料参数对空穴半径增长规律的影响.

英文摘要：

The nonlinear mathematical model of describing cavity movement in a composite sphere was established via employing Kelvin-Voigt differential type constitution equations of thermo-viscoelasticity with the aid of the dynamical theory of finite deformation.Variation curves of the geometric and material parameter vs the critical temperature were obtained,dynamical variation curves of cavity radius increasing with time were given,and variation rules of cavity radius dynamical increasing with the external temperature,the geometric dimensions,and the material parameters were also discussed.