基于边界元法求解三维弹性摩擦接触问题

边界元法求解三维摩擦接触问题,其中一个关键点在于如何确定滑移方向。即当出现相对滑移时,滑移方向如何确定。当前常采用的方法是,粘结点利用切向面力得到滑移方向,滑移点利用切向相对位移得到滑移方向。不过该方法难以保证收敛性。针对这一问题,本文采用滑移方向预测技术得到滑移方向。即以后出现相对滑移时,滑移方向采用预测技术中得到的滑移方向。由于摩擦接触问题和历史加载相关,本文采用增量法求解。不同摩擦系数下的数值结果都证明了本文算法的有效性和收敛性及滑移方向预测技术的有效性。

Solving 3D elastic friction contact problem by boundary element method

In three-dimensional frictional contact problems by boundary element method,one of the key points is how to determine the slip direction.That is,when relative slip occurs,how to determine the direction of slip.Currently,the commonly used method is that the slip direction is determine from the tangential surface force at the sticking point,and from the tangential relative displacement at the slipping point.However,this method is difficult to guarantee convergence.In response to this problem,this paper adopts the slip direction prediction technology to obtain the slip direction.That is,when relative slip occurs,the slip direction is taken as the slip direction obtained in the prediction technology.Since the frictional contact problem is related to historical loading,the incremental method is employed.The numerical results with different friction coefficients all show the effectiveness and convergence of the proposed algorithm and the effectiveness of the slip direction prediction technology.