When a cylinder takes place the stick-slipping contact with a plane, the expressions of the stress component in the plane are derived on the base of the Hertz theory[1,2] and the Mindlin theory[2～4]; the stress distributions are analyzed, thus, their characteristics are presented. The x axial direction stress all is compressive at the leading side of the contact surface and there exists the tensile stress at the dragging side; both the maximal tensile stresses and the maximal compressive stresses all occur at the contacting surface; the former occur at the edge of the dragging side, and the latter exists at the area of leading side. The z axial direction stress all is compressive and its maximal compressive stress occurs at the neighborhood of the contact center. The first principal stress reaches the maximum at the edge of the dragging side in contacting surface, and it is always compressive at the leading side; but, its maximal compressive stress occurs at the neighborhood of the contact center. The third principal stress is always compressive and its maximum appears at the leading side of the contacting surface. The maximums of both the principal shear stress and the Von Mises equivalent stress (when the frictional coefficient is small) all occur inside the plane. Therefore, the mode-I crack generation and propagation may firstly take place at the edge of the dragging side; and the plastically slipping inception may firstly occur inside the contacting body, and then, extend to the contacting surface. Those will supply a theory base for researching both the contacting deformation and the failure of the contacting body.
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维普
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