基于JKR模型的粗糙圆柱表面线黏着接触分析*

利用粗糙平面接触模型，假定表面单个微凸体的接触采用JKR黏着接触模型，同时考虑圆柱体表面的整体变形，建立了粗糙圆柱表面线黏着接触模型，推导出表面等效压力分布方程。把压力方程量纲一化，采用修正Newton-Raphson法对方程进行迭代求解，计算出粗糙圆柱表面存在表面力作用下的等效压力分布曲线。结果表明外载荷不小于零时，接触中心压力为正，微凸体被压缩;而接触边缘处压力为负，微凸体被拉伸，表明黏着区域主要分布在接触边缘。同时计算出接触半宽随外载荷的变化曲线，当外载荷为拉伸力并大于某一临界值时，表面分开。并且与经典的接触模型进行了对比，发现低载时模型之间的差别较大，而载荷比较大时趋于一致。

Adhesive Contact Analysis between Rough Surfaces Based on JKR Model

Utilizing the contact model for rough surfaces, assuming the JKR model for individual asperity contact and considering the deformation of the cylindrical surfaces, the line adhesive contact between rough cylindrical surfaces is established, and the effective pressure equations of the surfaces are deduced. Dimensionless method is applied to the pressure equations; the modified Newton-Raphson iteration method is used to solve these equations. The effective pressure distribution curve of the rough cylindrical surfaces is calculated under the action of surface forces. When the external loads are positive or zero, the pressure of the contact center are positive and the asperities are compressed, however, the pressure of the contact edge are negative and the asperities are stretched. It is suggested that the primary adhesion region exists at the edge of the contact region. The relationship curves between dimensionless contact half-width and external load are also calculated. When the external loads are tension forces and greater than a critical value, the contact surfaces separate. Contrasting with classical contact model, under low external load the difference between these models is apparent; however, under heavy external load these models are very close.