文献类型：期刊文献

英文题名：Supercritical and subcritical buckling bifurcations for a compressible hyperelastic slab subjected to compression

作者：Wang, Fan-Fan[1];Wang, Yuanbin[2]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

年份：2016

卷号：81

起止页码：75

外文期刊名：INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

收录：;EI(收录号：20160401841784);WOS:【SCI-EXPANDED(收录号:WOS:000373538500008)】；

基金：We are most grateful to the anonymous referee for the help in improving the original manuscript. The work was fully supported by a grant from the National Natural Science Foundation of China (Project number 11102068).

语种：英文

外文关键词：Buckling; Bifurcation; Compressible material; Hyperelasticity

摘要：We study the buckling bifurcation of a compressible hyperelastic slab under compression with sliding sliding end conditions. The combined series-asymptotic expansions method is used to derive the simplified model equations. Linear bifurcation analysis yields the critical stress value of buckling, which gives a non-linear correction to the classical Euler buckling formula. The correction is due to the geometrical non-linearities coupled with the material non-linearities. Then through non-linear bifurcation analysis, the approximate analytical solutions for the post-buckling deformations are obtained. The amplitude of buckling is expressed explicitly in terms of the aspect ratio, the incremental dimensionless engineering stress, the mode of buckling and the material constants. Most importantly, we find that both supercritical and subcritical buckling could occur for compressible materials. The bifurcation type depends on the material constants, the geometry of the slab and the mode numbers. (C) 2016 Elsevier Ltd. All rights reserved.