Toward a Universal Model of Damping--Modified Coulomb Friction
  A modification of Coulomb's law of friction uses a variable coefficient of friction that depends on a power law in the energy of mechanical oscillation. Through the use of three different exponents: 0, 1/2 and 1; all commonly encountered non-viscous forms of damping are accommodated. The nonlinear model appears to yield good agreement with experiment in cases of surface, internal, and amplitude dependent damping. 
Randall D. Peters