不完全接触问题的半平面表示
Representation of incomplete contact problems by half-planes
摘要：
用有限元法分析接触数据，导出了用半平面理论求解部分滑移摩擦接触问题所需的最佳选择外载荷（外加法向力、弯矩、剪力和远体应力）的方法。虽然法向力、剪切力和力矩很容易从平衡考虑中找到，但为了确定体应力，我们必须利用牵引比和接触内的直接应变的细节，这两者都很容易从模拟中提取。这些接触载荷使接触的等效半平面问题的公式化成为可能，该公式可用于确定比直接使用摩擦有限元分析获得的更精确的滑动区尺寸估计值，因为采用了来自有限元输出的汇总数据，并且半平面分析将在满足摩擦滑动和粘着定律方面增加精度。
英文摘要：
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.
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