THE STRESS CALCULATION IN THE FRICTIONALLY SLIPPING CONTACT BETWEEN A RIGID CYLINDER AND A HALF PLANE

When frictionally slipping contact occurs between a cylinder and a plane, the accurately analytic solutions of the stress field in the contacting body with the effect of the tangential stress on the normal stress have not been solved. This work derives the expressions of the stresses, and analyzes the stress distributions in the plane based on Bufler’s solutions. The conclusions indicate that there exists the maximum tensile stress and the maximum compressive stress in the contacting surface; and that the maximum tensile stress occurs at the edge of the dragging side. Therefore, if the failure of the contacting plane is induced by the tensile or the compressive stresses, it may firstly occur in the contacting surface; and the mode-Ⅰcrack generation and propagation may firstly take place at the edge of the dragging side. The maximums of both the principal shear stress and the Von Mises equivalent stress (when the frictional coefficient is small) occur inside the contacting body, and they all exist in the leading side. Therefore, the plastic inception may firstly take place inside the contacting body, and then extend to the contacting surface. Meanwhile, the frictionally slipping contact between the cylinder and the plane is simulated with the finite element method. The curves of the stress distributions obtained by the finite element method are compared with that by the proposed theoretic method. The results show that the characteristics of the stress distributions obtained by both methods are basically consistent. Those conclusions will provide the basis for the study of the engineering contact problems.