Engineering-level accuracy of discretization methods for frictional contact originates from precise representation of discontinuous frictional and normal interaction laws and precise discrete contact techniques. In terms of discontinuous behavior in the quasi-static case, two themes are of concern: the normal interaction (i.e. impact) and the jumps in tangential directions arising from high frictional values. In terms of normal behavior, we use a smoothed complementarity relation. For the tangential behavior, we propose a simple and effective algorithm, which is based a stick predictor followed by corrections to the tangential velocity. This allows problems with impact and stick-slip behavior to be solved with an implicit code based on Newton–Raphson iterations. Three worked examples are shown with comparisons with published results. An extension to node-to-face form in 3D is also presented.

摩擦接触离散化方法的工程水平准确性源于对不连续摩擦和法向相互作用定律的精确表示以及精确的离散接触技术。就准静态情况下的不连续行为而言，需要关注两个主题：法向相互作用（即冲击）和由高摩擦值引起的切线方向上的跳跃。在正常行为方面，我们使用平滑的互补关系。对于切线行为，我们提出了一种简单有效的算法，该算法基于棒预测器，然后对切线速度进行校正。这样就可以使用基于牛顿-拉夫森迭代的隐式代码解决冲击和粘滑行为的问题。显示了三个工作示例，并与已发布的结果进行了比较。