接触摩擦单元新模型的理论及应用

Theory and Application for the New Model of Contact and Friction Element

本文提出了一种用于分析三维非线性接触摩擦问题的新模型。该模型以节点位移和接触应力作为基本未知量,考虑了四种接触条件:固定,滑动,张开和混合,能模拟具有初始裂缝和无初始裂缝两物体间的摩擦滑动,张开和闭合。基于增量形式的有限元法,建立了接触摩擦问题的等效单元刚度—约束矩阵和等效单元荷载向量。计算中,可用标准的有限元集成规则将其分别迭加到总刚度矩阵和总荷载向量中,因而具有计算简单,程序设计容易的优点。作为应用实例,文章对广东龙垟泉水拱坝进行了分析。

A new model for three-dimensional non-linear contact problems with irreversible friction is presented here. Taking displacements and contact stresses as node parameters and considering four contact conditions, i. e. fixed, slip, fre< and mixed, this model can simulate fric-tional slippage, decoupling and re-bonding of two bodies initially mating at a common interface or with any initial gaps. Based on the finite element method and load incremental theory, the equivalent element stiffness-constraint matrix and load vector are obtained, which can be assembled into global stiffness matrix and global load vector. This method is shown to be simple in computation and to be easy in programming. As an application example, Quanshui Arch Dam located in Ruyuan County of Guangdong province in southern China is analyzed.