翻转的Varga材料球壳的渐近分支(英文)  

Asymptotic bifurcation of an everted Varga spherical shell

作　　者：林怡平[1] 马忠军[2] 刘曾荣[2] 

机构地区：[1]昆明理工大学应用数学系,昆明650093 [2]上海大学数学系,上海200436

出　　处：《计算力学学报》2006年第5期536-539,共4页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(1016100710472100)资助项目~~

摘　　要：众所周知,弹性球壳在翻转后可能不再保持球壳形状而出现起皱现象,也就是出现分支解。本文运用WKB方法,分析了各向同性且不可压缩的超弹性Varga材料球壳翻转后的变形问题。在大模数情形下,对于A-B=O(1),得到了球壳内、外径比的分支临界值的渐近表达式。对模数区域内几乎所有的模数,分析结果与数值结果吻合得很好。It is well-known that a spherical shell may not stay spherical after eversion and it may prefer to adopt a wrinkled configuration. In this case, a bifurcation solution occur. In this paper, WKB method was used to analyse the buckling of an everted Varga spherical shell of incompressible, isotropic hyper-elastic material. For A- B=O（1） a simple asymptotic expression is obtained for the critical ratio of the inner radius to the outer radius with the mode number large enough. The analytical results perfectly coincide with the numerical results over almost the whole mode-number regin.

关 键 词：球壳翻转 分支解 WKB分析 

分 类 号：O344.3[理学—固体力学]