Elasticity Problem in the Case a Rigid Sphere is Pressed on the Plane Surface of Semi-Infinite Elastic Solid : The Effect of Friction on the Contact Surface

抄録

In recent papers, various methods of analysis, the so-called Bussinesq's problem⁽¹⁾, were given for the distribution of stress in a semi-infinite elastic medium deformed by the pressure of rigid body on a part of the plane boundary, while the remainder of the plane was free. In these papers, a friction on the contact surface in neglected or directly expressed⁽²⁾⁽³⁾. In this paper, the author proves that the stress distribution and displacements on the surface of semi-infinite elastic solid indented by a rigid sphere are given by applying the Hankel Transform, and that the approximate solutions under the influence of friction on the contact surface are reduced by suitable use of above solutions. An assumption of friction is made from the well-known fact that u_γ of the contact surface decreases by the friction.