Solutions of two three-dimensional contact problems for a linearly viscoelastic foundation in sliding contact with a separate indenter and a periodic wavy surface taking into account adhesion are presented. Based on these solutions, the influence of the complete surface geometry, that is, shape of both tips of asperities and valleys between them, on the contact characteristics and deformation friction force is analyzed for various values of the normal load, sliding velocity, and adhesion parameter.
GroschKA. The relation between the friction and visco-elastic properties of rubber. Proc R Soc Lon Ser: A1963; 274–1356: 21–39.
2.
ChristensenRM. Theory of viscoelasticity. New York: Academic Press, 1982.
3.
GoryachevaIG. Contact mechanics in tribology. Dordrecht: Kluwer Academic Publication, 1998.
4.
AleksandrovVMGoryachevaIGTorskayaEV. Sliding contact of a smooth indenter and a viscoelastic half-space (3D problem). Dokl Phys2010; 55: 77–80.
5.
SheptunovBVGoryachevaIGNozdrinMA. Contact problem of die regular relief motion over viscoelastic base. J Frict Wear2013; 34: 83–91.
6.
NasdalaLKaliskeMBeckerA. An efficient viscoelastic formulation for steady-state rolling structures. Comput Mech1998; 22: 395–403.
7.
PutignanoCCarboneGDiniD. Mechanics of rough contacts in elastic and viscoelastic thin layers. Int J Solids Struct2015; 69–70: 507–517.
8.
CarboneGPutignanoC. A novel methodology to predict sliding and rolling friction of viscoelastic materials: theory and experiments. J Mech Phys Solids2013; 61: 1822–1834.
9.
PutignanoCReddyhoffTCarboneG. Experimental investigation of viscoelastic rolling contacts: a comparison with theory. Tribol Lett2013; 51: 105–113.
10.
CarboneGPutignanoC. Rough viscoelastic sliding contact: theory and experiments. Phys Rev E2014; 89: 032408.
11.
MengaNPutignanoCCarboneG. The sliding contact of a rigid wavy surface with a viscoelastic half-space. P R Soc A2014; 470(2169): Article number 20140392.
12.
GoryachevaIGGubenkoMMMakhovskayaYY. Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account. J Appl Mech Tech Phy2014; 55: 81–88.
13.
GoryachevaIGMakhovskayaYY. Sliding of a wavy indenter on the surface of viscoelastic layer in the presence of adhesion. Mech Solids2015; 4: 90–103.
14.
MaugisD. Adhesion of spheres: the JKR-DMT transition using a Dugdale model. J Colloid Interf Sci1991; 150: 243–269.
15.
KalkerJJ. Three-dimensional elastic bodies in rolling contact (solid mechanics and its applications), vol. 2. Delft: Springer, 1990.
16.
GoryachevaIGMakhovskayaYY. Modeling of friction at different scale levels. Mech Solids2010; 45: 390–398.
17.
JohnsonKL. Mechanics of adhesion. Tribol Int1998; 31: 413–418.
18.
GoryachevaIGMakhovskayaYY. Adhesion interaction of elastic bodies. J Appl Math Mech2001; 65: 273–282.
