Effect of roughness on the stress state of bodies in frictional contact

Contact Mechanics in Tribology

“…The analysis of internal stresses in periodic contact problems for an elastic half-space for different values of friction coefficient and density of contact spots presented by Gorokhovsky (1978a and1978b) (in two-dimensional formulation), and also in Chapter 2 shows that the cases of monotone and nonmonotone function Tmax(Z) actually take place and, consequently, the fatigue wear features which follow from analysis of Eqs. The analysis of internal stresses in periodic contact problems for an elastic half-space for different values of friction coefficient and density of contact spots presented by Gorokhovsky (1978a and1978b) (in two-dimensional formulation), and also in Chapter 2 shows that the cases of monotone and nonmonotone function Tmax(Z) actually take place and, consequently, the fatigue wear features which follow from analysis of Eqs.…”

Contact problems for textured surfaces involving frictional effects

“…The combined effect of the friction coefficient and the contact density parameter N=l on contact pressure distribution and the size and position of the contact regions was analyzed in Kuznetsov and Gorokhovsky. 2 On the basis of the approximate solution 3,4 of this problem and assumption that ¼ ¼ 0, the stress-strain state of the surface layers of contacting solids was investigated for different values of the friction coefficient and the contact width. 3,5,6 The approximate solution of this problem was obtained in Kuznetsov and Gorokhovsky 3 and Kuznetsov 4 by using the superposition principle based on the assumption that shear contact stress does not affect the contact pressure and the contact region width.…”

“…2 On the basis of the approximate solution 3,4 of this problem and assumption that ¼ ¼ 0, the stress-strain state of the surface layers of contacting solids was investigated for different values of the friction coefficient and the contact width. 3,5,6 The approximate solution of this problem was obtained in Kuznetsov and Gorokhovsky 3 and Kuznetsov 4 by using the superposition principle based on the assumption that shear contact stress does not affect the contact pressure and the contact region width. It can be derived from the exact solution by assuming that ¼ ¼ 0 and can be used for comparatively low values of the friction coefficient (values not greater than unity).…”

“…On the basis of this solution, the study of contact and internal stresses was carried out in Kuznetsov and Gorokhovsky. 3,5,6 The frictional sliding contact between two anisotropic half-spaces if the surface of one of the solids has regular relief described by the function rðxÞ (Figure 2) was studied in Kryshtafovych and Martynyak 7 by utilizing the generalization of the method of functions of intercontact gaps, which was recently developed for investigation of elastic, thermoelastic, and mechano-thermo-diffusion interaction between conforming bodies with local surface grooves. [8][9][10][11] The contact problem was reduced to the following singular integral equation with Hilbert kernel for the derivative of the height hðxÞ of the gaps between the contacting surfaces…”

Simulation of irregular surfaces on the basis of parametric data

“…The second class simulates surface irregularity by means of the periodic functions of curves and surfaces, as in [3,10,11].…”