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。
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.
出处
《吉林大学自然科学学报》
CSCD
1995年第3期12-18,共7页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
有限变形
有限元
变换矩阵
接触问题
变形
finite deformation,finite element method,transformation matrix,increment
