| 有限元法在具有摩擦的有限变形接触问题中的应用 |
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| 引用本文： | 王忠东,张承志,谷中秋.有限元法在具有摩擦的有限变形接触问题中的应用[J].吉林大学学报(理学版),1995(3). |
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| 作者姓名： | 王忠东 张承志 谷中秋 |
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| 作者单位： | 中国人民解放军农牧大学，吉林职业师范学院 |
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| 摘 要： | 给出一种解决有限变形带有摩擦弹性体接触问题的有限元方法，根据接触边界的几何和运动条件引出变换矩阵，将接触节点位移表示成与变换矩阵有关的通式，并以此为基础建立带有约束条件的增量形大的变分原理，推出接触问题的有限元方程。最后，给出了说明该方法的几个数值示例。
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| 关 键 词： | 有限变形，有限元，变换矩阵，增量 |
Application of Finite Element Method to Finite Deformation Contact Problems with Friction |
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| Wang Zhongdong, Zhang Chengzhi,CuZhongqiu.Application of Finite Element Method to Finite Deformation Contact Problems with Friction[J].Journal of Jilin University: Sci Ed,1995(3). |
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| Authors: | Wang Zhongdong Zhang Chengzhi CuZhongqiu |
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| Abstract: | An effective finite element method for analysis of finite deformation contact problems withfriction is presented.According to the geometric and kinematic conditions on the contact boundary,the transformation matrix is derived.The modal displacement rector of contactor is expressed as thegeneral form relating with the transformation matrix. Based on it,an incremental restricted variation- al principle is formulated and the finite element equation of solution for deformation contact problemswith friction is established.Several numerical examples are presented to demonstrate the method. |
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| Keywords: | finite deformation finite element method transformation matrix increment |
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