计算力学学报2006，Vol.23Issue(5)：536-539,4.
翻转的Varga材料球壳的渐近分支
Asymptotic bifurcation of an everted Varga spherical shell
摘要
Abstract
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 AB=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Key words
eversion of spherical shell/bifurcation solution/WKB analysis分类
数理科学引用本文复制引用
林怡平,马忠军,刘曾荣..翻转的Varga材料球壳的渐近分支[J].计算力学学报,2006,23(5):536-539,4.基金项目
国家自然科学基金(10161007 （）
10472100)资助项目.Project supported by the National Natural Science Foundation ofChina (10161007, 10472100) and the Sci-ence Foundation of Education Departmentof Yunnan, China. （10161007, 10472100）
