中文摘要：

在弹塑性力学中,厚壁圆球的弹塑性分析是著名的拉梅（Lame）问题之一,将其推广到黏弹性材料,推导出外表面受弹性约束的黏弹性球壳解析解,得到了球壳的径向应力、环向应力和径向位移的表达式,求出突然施加内压时的应力瞬态值和当时间趋于无穷时的位移稳态值,并结合算例讨论了各参数的影响.

英文摘要：

Elastic-plastic analysis of thick-wall spherical shell is one of famous Lame problems in elastic-plasticity mechanics.In this paper,we extended to viscoelasticity,and discussed analytical solution of viscoelastic spherical shell subjected to elastic restriction in outer layer,the expressions of radial stress,hoop stress and radial displacement were received,transient stress subjected to internal pressure and steady state displacement were solved,and the each parameters＇ influences were discussed with calculation examples.