中文摘要：

根据有限变形动力学理论，研究了不可压黏弹性球体在均匀温度场作用下空穴的动态生成和增长问题。采用几何大变形的有限对数应变和ＫｅｌｖｉｎＶｏｉｇｔ微分型热黏弹性本构方程，建立了描述球体内空穴运动的二阶非线性常微分方程。通过数值计算，给出了空穴半径随温度的增长曲线和空穴生成时的临界温度，得到了空穴半径随时间增长的动态变化曲线，并讨论了外界温度场、球体半径以及各材料参数对空穴半径的增长规律。

英文摘要：

Dynamical formation and growth of cavity in a sphere composed of incompressible viscoelastic material subjected to uniform temperature field were studied according to the finite deformation dynamics theory. The nonlinear ordinary differential equation describing cavity movement in a sphere was established by using the finite logarithmic strain measure for geometric large deformation and employing the Kelvin-Voigt differential type constitution equation of thermo-visco-elasticity. By numerical computation, growth curves of cavity radius with temperature and the critical temperature were given, dynamical variation curves of cavity radius increasing with time were obtained, and variation rules of cavity radius increasing with the external temperature, the spherical radius, and the material parameters were also discussed.