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李士军 林国问 马大为. 受压橡胶海绵圆筒的轴对称平面应变问题研究[J]. 力学学报, 2010, 42(3): 579-582. DOI: 10.6052/0459-1879-2010-3-2009-509
引用本文: 李士军 林国问 马大为. 受压橡胶海绵圆筒的轴对称平面应变问题研究[J]. 力学学报, 2010, 42(3): 579-582. DOI: 10.6052/0459-1879-2010-3-2009-509
Shijun Li, Guowen Lin, Dawei Ma. The research on the axisymmetric plane strain problem of compressed hollow cylinder composed of elastomeric foam[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 579-582. DOI: 10.6052/0459-1879-2010-3-2009-509
Citation: Shijun Li, Guowen Lin, Dawei Ma. The research on the axisymmetric plane strain problem of compressed hollow cylinder composed of elastomeric foam[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 579-582. DOI: 10.6052/0459-1879-2010-3-2009-509

受压橡胶海绵圆筒的轴对称平面应变问题研究

The research on the axisymmetric plane strain problem of compressed hollow cylinder composed of elastomeric foam

  • 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.

     

    Abstract: This paper adopts Euler-Lagrange variational principle toresearch the compression behavior of hollow cylinder composed of elastomericfoam, and establishes nonlinear differential equations about itsaxisymmetric plane strain problem based on Blatz-Ko material model. Aparametric analytical solution is obtained through the parametertransformation. Finally by utilizing the corresponding numerical case, thevariation rules of radial stress and tangential stress along the radial ofcylinder, and the influences of magnitude of interference aresummarized.

     

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