By L. Goryacheva
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Additional resources for Contact Mechanics in Tribology
The results of the calculations have been described in details in the monograph by Goryacheva and Dobychin (1988). Fig. 45 (broken line). It must be L L L noted that the dependence is a piecewise-constant function for the model under consideration. 1 are indicated by triangles and squares, respectively). The calculations showed that as the parameter - increases, the load which is necessary for the complete contact of all punches of the system also increases. 45 (curve 2). This can be explained by the interaction between the individual contact spots in the contact problem for the system of punches and the elastic half-space.
When viewed from the top, the traces of the axes of the cylinders form a hexagonal lattice with a constant pitch Z, and the flat faces of the cylinders are all at the same level. 125 were tested. The number of punches in each model was N = 55. A block of rubber was used as the elastic body. 2 MPa. Fig. 13 shows the results of experiments for these two samples. The theoretical dependencies obtained from Eq. 40) are given for comparison. Thus, in full accord with the theory, the relation between the depth of penetration and the load is linear.
The kernel of Eq. 21) has the form where functions Ki(am,r,9,rf,0') are determined by Eqs. 15), in which we must put a — am. The function Gm(r) is determined by Eq. 7), where a = am and f(r) = / m ( r ) . Repeating the same procedure for indenters of each level (see Fig. , k) for determination of the pressure p m (r, 0) within the contact spot (r < am) of each level. Usually the radius of a contact spot am is unknown. r), A00 is a constant which can be excluded from the system of Eqs. 22) by consideration of differences of heights hi — hm, where hi is the largest height.
Contact Mechanics in Tribology by L. Goryacheva