中文摘要：

研究了黏弹性圆柱体在均匀温度场作用下的空穴生成问题.根据有限变形理论,建立了问题的非线性数学模型.通过对各参数进行无量纲变换,给出了空穴增长的分叉曲线以及环向和轴向应力分布曲线;并讨论了轴向伸长对临界温度以及各应力增长规律的影响.

英文摘要：

The cavity formation problem of a visco-elastic cylinder under the case of a uniform temperature field was studied. The nonlinear mathematical model of this problem was established by using the finite deformation theory. According to the dimensionless transformation of each parameter, the bifurcation curves of describing the increase of the cavity were obtained, and the circumferential distribution curves and axial stresses were de- veloped. The influence of the axial elongation on the critical temperature and stress were also discussed.