References
F.P. Bowden and D. Tabor, The Friction and Lubrication of Solids, Clarendon Press, Oxford, 1986.
J.F. Archard, Elastic deformation and the laws of friction, Proc. R. Soc. A, 243 (1957) 190.
B.N.J. Persson, Contact mechanics for randomly rough surfaces, Surf. Sci. Rep., 61 (2006) 201.
L. Prandtl, Ein Gedankenmodell zur kinetischen Theorie der festen Körper, ZAMM, 8 (1928) 85.
V.L. Popov, Contact Mechanics and Friction. Physical Principles and Applications, Springer-Verlag, Berlin, 2010.
V.E. Panin, Overview on mesomechanics of plastic deformation and fracture of solids, Theor. Appl. Fract. Mech., 30 (1998) 1.
V.L. Popov and S.G. Psakhie, Numerical simulation methods in tribology, Tribology Int., 40 (2007) 916.
T. Geike and V.L. Popov, Mapping of three-dimensional contact problems into one dimension, Phys. Rev. E, 76 (2007) 036710.
M. Heß, Über die Abbildung ausgewählter dreidimensionaler Kontakte auf Systeme mit niedrigerer räumlicher Dimension, Cuvillier-Verlag, Göttingen, 2011.
S.G. Psakhie, A.Y. Smolin, Y.P. Stefanov, et al., Modeling the behavior of complex media by jointly using discrete and continuum approaches, Tech. Phys. Lett., 30 (2004) 712.
A.E. Filippov and V.L. Popov, Fractal Tomlinson model for mesoscopic friction: From microscopic velocity-dependent damping to macroscopic Coulomb friction, Phys. Rev. E, 75 (2007) 027103.
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Original Text © S.G. Psakhie, V.L. Popov, 2012, published in Fiz. Mezomekh., 2012, Vol. 15, No. 4, pp. 5–7.
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Psakhie, S.G., Popov, V.L. Mesoscopic nature of friction and numerical simulation methods in tribology. Phys Mesomech 15, 251–253 (2012). https://doi.org/10.1134/S1029959912030010
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DOI: https://doi.org/10.1134/S1029959912030010