文献类型：期刊文献

英文题名：Buckling and post-buckling of a compressible slab under combined axial compression and lateral load

作者：Wang, Fan-Fan[1];Wang, Yuanbin[2]

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

年份：2017

卷号：97

期号：6

起止页码：686

外文期刊名：ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000403060100005)】；

基金：We are most grateful to the referees for the help in improving the original manuscript. The work was fully supported by two grants from National Natural Science Foundation of China (Project Nos. 11102068, 11672107). One of the authors (Y.W.) acknowledges the support by National Natural Science Foundation of China (Project No. 11472177) and a grant from Shaoxing University (Project No. 20145002).

语种：英文

外文关键词：Buckling; post-buckling; bifurcation; hyperelasticity

摘要：In this paper, we study the buckling and post-buckling of a compressible hyperelastic slab under both axial compressive force and distributed force on two lateral surfaces. The combined series-asymptotic expansions method is used to obtain the simplified model equations. We further assume that the lateral load is uniformly distributed and is a constant. We discuss three cases: (I) axial compression dominant, (II) lateral compression dominant and (III) uniform compression. In case (I), the lateral stress is given as a constant and no buckling bifurcation will occur when the axial stress is not imposed. In this case, the lateral stress may be compressive or tensile stress. In case (II), the axial compressive stress is given as a constant and no buckling bifurcation will occur when the lateral compressive stress is not imposed. In case (III), the slab is uniformly compressed at two lateral boundaries and two ends of the slab. For all three cases, with sliding-sliding end conditions at two ends, we obtain the approximate expressions of the critical stress values and mode numbers from linear bifurcation analysis and obtain the approximate analytical post-buckling solutions by using the method of multiple scales. We find both supercritical and subcritical bifurcations may occur depending on the material constants, slenderness ratio of the slab and bifurcation modes. The analytical post-buckling solutions are compared with the numerical solutions of the model equations and good agreements are found. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim