文献类型：会议论文

中文题名：Pitchfork and Octopus Bifurcations in a Hyperelastic Tube subjected to Compression: Analytical Post-bifurcation Solutions and Imperfection Sensitivity

作者：DAI Hui-Hui[1];WANG Fan-Fan[1];WANG Jiong[1];XU Jian[1];

机构：[1]Department of Mathematics, City University of Hong Kong, Hong Kong, China Department of Mathematics, East China University of Science and Technology, Shanghai 200037, China Chair of Applied Mechanics, University of Erlangen-Nuremberg, Egerlandstr 5, D-91058 Erlangen, Germany School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092,China;

会议论文集：第九届全国动力学与控制学术会议论文集

会议日期：20120518

会议地点：西安

主办单位：中国力学学会

语种：英文

中文关键词：bifurcation;hyperelastic;imperfection;sensitivity

摘要：In this paper,we consider the axisymmetric deformations of an elastic circular cylindrical tube compressed between two rigid parallel plates.We intend to investigate the critical stress values of buckling and the analytical solutions of the post-buckling deformations.We also concern the issue of the imperfection sensitivity of the tube which is related to the subcritical bifurcation.For a general nonlinearly isotropic hyperelastic material,we first set up the two-dimensional governing equations(two-dimensions due to the symmetry of the deformations) and the