摘要
针对橡胶海绵材料圆筒受压问题,根据欧拉-拉格朗日变分原理,建立了基于Blatz-Ko材料模型的轴对称平面应变问题的非线性微分方程.采用参数变换的方法,获得了该问题的参数形式解析解.并通过相应数值算例,得到了径向应力和切向应力沿圆筒径向的变化规律,以及过盈量对径向应力和切向应力影响规律.
This paper adopts Euler-Lagrange variational principle to research the compression behavior of hollow cylinder composed of elastomeric foam,and establishes nonlinear differential equations about its axisymmetric plane strain problem based on Blatz-Ko material model.A parametric analytical solution is obtained through the parameter transformation.Finally by utilizing the corresponding numerical case,the variation rules of radial stress and tangential stress along the radial of cylinder,and the influences of magnitude of interference are summarized.
出处
《力学学报》
EI
CSCD
北大核心
2010年第3期579-582,共4页
Chinese Journal of Theoretical and Applied Mechanics
