大连理工大学学报2016，Vol.56Issue(4)：331-334,4.DOI:10.7511/dllgxb201604001
结构和材料参数对一类可压缩超弹性圆柱管翻转变形影响
Influences of structure and material parameter on everted deformation for a cylindrical tube composed of compressible hyperelastic materials
摘要
Abstract
The everted tubes,which can be regarded as an ideal anti-collision energy absorbing component,are widely applied to engineering design,aerospace and many other fields of real life.The problem of finite deformation is examined for a thin-walled everted cylindrical tube composed of a class of compressible hyperelastic materials,and then it is described as a class of boundary value problems (BVPs)of a certain second-order nonlinear ordinary differential equation (ODE).Since the exact solution can not be obtained,and the classical numerical methods are not suitable,a modified shooting method is proposed to solve this class of BVPs effectively,and the quantitative behaviors of the solutions are analyzed.The numerical results reveal the thickness and the axial stretch rate of the everted cylindrical tube increase with the increasing initial thickness,and the cylindrical tube is in the state of compression;the axial stretch rate decreases with the increasing Possion's ratio.Moreover, the obtained conclusions are also compared with those for the incompressible cases.关键词
可压缩超弹性材料/圆柱管/翻转/改进打靶法Key words
compressible hyperelastic material/cylindrical tube/eversion/modified shooting method分类
数理科学引用本文复制引用
赵巍,袁学刚,张洪武..结构和材料参数对一类可压缩超弹性圆柱管翻转变形影响[J].大连理工大学学报,2016,56(4):331-334,4.基金项目
辽宁省教育厅省高校优秀人才支持计划资助项目(LR2012044) （LR2012044）
中央高校基本科研业务费专项资金资助项目(DC201502050203) （DC201502050203）
