接触摩擦单元的理论及其应用

Theory and Application of Contact-friction Interface Element

本文在Ｋａｔｏｎａ的基础上提出以新接触摩擦单元直接取节点接触应力作为基本未知量，模拟两物体间的摩擦滑动、张开和闭合过程。接触单元的几何和静力约束条件在刚度方程中作为补充方程。运用虚位移原理导出了适用的等效单元刚度－约束矩阵，并给出了相应的对称化方法，使该单元具有容易与标准有限元程序联接和计算稳定的优点。计算的结果与理论解非常吻合。作为应用实例，还研究了节理对混凝土坝基的影响。

ased on Katona’s work,a new type of contact friction interfacec clcment is presentd,in whichthe nodal contact stresses are taken as unkbnowns. The element can simulate frictional slippage, decoup-ling and re-bonding of two bodies initially mating at a common interface.The geometric and static con-straint conditions are treated as additonal conditions in this model.Using virtual displacement principle,the utilizable equivalent element stiffness-constraint matrix is obtained,and the symmetrizing techniquesis also given.The new element has the advantages of easy implementation into standard finite elementprograms and performs more stable in numericl computation.The tested contact friction block prob-lem shows a good agreement between the calculated results amd theoretical amalyses.As an applicationexample, effect of joints on concrete foundation is investigatd.