橡胶圆柱体的平面外剪切变形分析

Analysis for Out-of-Plane Shear Deformation of Rubber Cylinder

利用Gao Y C给出的一类不可压缩的应变能函数,分析了不均匀橡胶圆柱体受平面外剪切变形问题。通过平面外剪切变形问题的变形模式,并结合应力和位移的边界条件以及界面连续条件得到了位移场和应力场在瞬时构型中的解析解,并讨论了材料的不均匀性对位移场及应力场分布的影响。结果表明:不均匀模型可以方便地退化成均匀模型;橡胶圆柱体的不均匀性对位移场和应力场的分布有着重要影响。

Based on a kind of incompressible strain energy function proposed by Y.C.Gao,a inhomogeneous rubber cylinder under out-of-plane shear deformation was analyzed.According to the given deformation model of out-of-plane shear deformation,the stress,displacement boundary conditions and interface joint conditions are totally considered,the analytic solutions of displacement and stresses in the instantaneous configuration were obtained,the influences of inhomogeneity of the rubber cylinder on the displacement and the stress distribution were also given.The results indicate that the inhomogeneous model degenerates in the homogeneous one conveniently,and the inhomogeneity of the rubber cylinder exerts important influences on the displacement and the stress distribution.