Stainless steel bearing surface stress and deformation

In 1892, the Boussinesq solution as shown in figure 6. 2 and a half infinite radial stress distribution in the body, he is the polar coordinates rather than rectangular coordinates. No shear stress boundary condition at the surface, the radial stress solution for fcos0r Tr from type 2 ( 6. 16) It can be seen that when r tend to be 0, O, will be infinite. Obviously this is impossible, because the surface material will result in serious yield or failure. Hrx the explanation is that will form a small area of contact instead of point or line contact, the load will be assigned to the contact surface, relieve the stress of infinity from the surface. Hea in analysis put forward the following hypothesis 1) All the deformation within the elastic range, there is no more than the proportional limit of material. 2) Load is perpendicular to the surface, ignoring shear stress on the surface of the shadow of 3) Compared to the loaded object curvature radius, the contact area of the foot す small 4) Compared with the contact area of the foot す, contact area of the radius of curvature big elasticity theory problem of the solution is based on assumption of stress function, the stress function must be individually or in combination with figure 6. 2 boussinesq analysis model of the full compatibility equations and boundary conditions. For semi-infinite elastic body stress distribution, Hert the assumption is that Ya Ya h ( 6. 17) Type b is arbitrary fixed-length, X, Y, and Z is the parameters of the network are 1. A: u al al ax, ax ol al (p 6, 17) Ay a w al ob 7 + 1 type of c is an arbitrary length, in order to make/e, w/e/e and 1. And V is arbitrary function of X and Y, but to satisfy VU = 0 V V = 0 ( 6. 19) The relationship between b and c and D for a U ( 6. 20) Part C az these assumptions from intuition, partly from experience, combining their relationship with the elastic ( Type ( 6. 7) , type ( 6. 10) And type ( 612). To type ( 6, 14) , o. av ou s av az L sz y ar az