Methods

for finding the optimal choices of the applied remote loads – the applied normal force, moment, shear force and remote bulk stresses – needed to solve frictional contact problems in partial-slip using half-plane theory are derived by using data from contacts analysed by the finite element method. While the normal and shear forces and moment are readily found from equilibrium considerations, in order to determine the bulk stresses we must exploit details of the traction ratio and the direct strain within the contact, both of which are readily extracted from simulations. These contact loads enable the formulation of an equivalent half-plane problem for the contact, which can be used to determine much more precise estimates of the slip-zone sizes than are obtainable from direct use of frictional finite element analysis, as aggregated data from the finite element output is employed, and the half-plane analysis will add precision in terms of satisfaction of the laws of frictional slip and stick.

中文翻译：

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用半平面表示不完整的接触问题

方法

为了找到使用半平面理论解决偏滑摩擦接触问题所需的施加的远程载荷（施加的法向力，力矩，剪切力和远程整体应力）的最佳选择，方法是使用通过有限元法。尽管可以从平衡考虑因素中轻松找到法向力和剪切力以及弯矩，但是为了确定整体应力，我们必须利用牵引比和接触内直接应变的细节，这两者都可以从模拟中轻松提取出来。与直接使用摩擦有限元分析所获得的结果相比，这些接触载荷使接触的等效半平面问题得以表述，该问题可用于确定滑移区大小的更为精确的估算，