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. © 2016 Journal of Mechanical Engineering.