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| 受压橡胶海绵圆筒的轴对称平面应变问题研究 | |
| 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 |
| 作者姓名： | 李士军 林国问 马大为 |
| 作者单位： | 南京理工大学机械工程学院,南京,210094;南京理工大学机械工程学院,南京,210094;南京理工大学机械工程学院,南京,210094 |
| 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. |
| 关 键 词： | 橡胶海绵 轴对称平面应变 有限变形 Blatz-Ko应变能函数 |
| 收稿时间： | 2009-08-18 |
| 修稿时间： | 2009-10-23 |
THE RESEARCH ON THE AXISYMMETRIC PLANE STRAIN PROBLEM OF COMPRESSED HOLLOW CYLINDER COMPOSED OF ELASTOMERIC FOAM |
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| Li Shijun , Lin Guowen , Ma Dawei. 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 | |
| Authors: | Li Shijun Lin Guowen Ma Dawei |
| Affiliation: | School of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094, ChinaSchool of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094, ChinaSchool of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094, China |
| 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. |
| Keywords: | elastomeric foam Axisymmetric plane strain finite deformation Blatz-Ko material model |
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