受弹性外层约束的厚壁球壳黏弹性解析解  

Analytical research of thick-walled spherical shell subjected to outer elastic layer in viscoelasticity

作　　者：陈亚娟[1] 王艳[2] 尚新春[3] 

机构地区：[1]河南理工大学土木工程学院,河南焦作454000 [2]河南理工大学图书馆,河南焦作454000 [3]北京科技大学应用科学学院,北京100083

出　　处：《河南理工大学学报（自然科学版）》2011年第3期366-371,共6页Journal of Henan Polytechnic University（Natural Science）

基　　金：国家自然科学基金资助项目(10772024)

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.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.

关 键 词：黏弹性 厚壁球壳 LAPLACE变换 解析解 

分 类 号：O343[理学—固体力学]