Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account

Effect of Surface Layers in Sliding Contact of Viscoelastic Solids (3-D Model of Material)

“…Analysis of internal stresses due to contact interaction in an elastic substrate covered by essentially more hard coating (Goryacheva, 1998) leads to the conclusion, that stress at the coating-substrate interface is usually greater than in other points of the substrate. The results presented below (Figures 14, 15) illustrate the influence of the rigid plate thickness on the normal and tangential stresses at the interface for two different velocities.…”

“…A one-dimensional model of the viscoelastic layer is widely used for a 3-D contact problem solution, for example, in Klüppel and Heinrich (2000), Persson (2001), Morozov and Makhovskaya (2007), Lyubicheva (2008), Goryacheva et al (2014), and Soldatenkov (2015). It allows not only to obtain an analytical solution but also to consider the additional effects such as an adhesive interaction of surfaces (Goryacheva et al, 2014) or multiple contact (Klüppel and Heinrich, 2000;Persson, 2001;Lyubicheva, 2008;Soldatenkov, 2015).…”

Adhesion effect in sliding of a periodic surface and an individual indenter upon a viscoelastic base

“…Thus, the problem is reduced to solving a 2D contact problem for each strip to determine the contact pressure distribution p j (x) in the contact region x 2 O j and the boundary of the region of adhesive interaction O a , after which the friction force can be calculated in accordance with equations (12) and (13).…”

“…where t j (x) is defined by equation (12). For more details concerning the method of solution of the periodic problem, various regimes of interaction in different strips, and criteria for existence of these regimes, see our previous studies.…”

“…[6][7][8][9][10][11] Apart from hysteretic losses, an important effect to be taken into account in modeling the sliding contact of rough surfaces is the molecular attraction between them. A method of analytic solution of contact problems with adhesion in 3D formulation was suggested for a viscoelastic foundation in sliding contact with a separate spherical indenter 12 and wavy surface indenter. 13 The problems were considered under given penetrations of the indenters.…”