Dependence of the kinetic force of friction between a randomly rough surface and simple elastomer on the normal force

The force of friction between a self-affine fractal rough surface and an elastomer with the simplest linear rheology is simulated with the method of reduction of dimensionality. The coefficient of friction increases with normal force approximately according to logarithmic law.

[1]  B. Persson.  Contact mechanics for randomly rough surfaces , 2006, cond-mat/0603807.

[2]  Valentin L. Popov,et al.  Force of friction between fractal rough surface and elastomer , 2010 .

[3]  En-Jui Lee,et al.  VISCOELASTIC STRESS ANALYSIS , 1958 .

[4]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[5]  Roman Pohrt,et al.  Normal contact stiffness of elastic solids with fractal rough surfaces. , 2012, Physical review letters.

[6]  Jay Fineberg,et al.  Static friction coefficient is not a material constant. , 2011, Physical review letters.

[7]  Valentin L. Popov,et al.  Reduction of three-dimensional contact problems to one-dimensional ones , 2007 .

[8]  V. Popov,et al.  Influence of Ultrasonic Oscillation on Static and Sliding Friction , 2012, Tribology Letters.

[9]  V. Popov,et al.  Influence of Ultrasonic In-Plane Oscillations on Static and Sliding Friction and Intrinsic Length Scale of Dry Friction Processes , 2010 .

[10]  J. Radok,et al.  Visco-elastic stress analysis , 1957 .

[11]  Thomas Geike,et al.  Mapping of three-dimensional contact problems into one dimension. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  V. Popov.  Contact Mechanics and Friction , 2010 .

[13]  V. Popov.  Contact Mechanics and Friction: Physical Principles and Applications , 2010 .

[14]  Valentin L. Popov,et al.  Using hierarchical memory to calculate friction force between fractal rough solid surface and elastomer with arbitrary linear rheological properties , 2011 .

[15]  Sergey G. Psakhie,et al.  Numerical simulation methods in tribology , 2007 .