Normal Contact Hardness of Fractal Surfaces of Butt Joints
The review of quality management problems relateA technique is given for estimating the normal contact rigidity of fractal surfaces under conditions of elastic contact interaction. The technique is based on the use of the Hertz theory for the contact of a sphere with a half-space as a model of deformation of a single unevenness. The profile of the fractal surface is represented by the Weierstrass-Mandelbrot function. To determine contact stiffness of multiple contacts, the size function of the distribution of contact spots is used and, in contrast to the Greenwood-Williamson model, it is assumed that each spot has its radius of curvature of the apex of the protrusions.