Abstract
The rheological nonlinear model of ice surface softening during friction is developed. Analytical and numerical schemes describing stick–slip frictional oscillations for three boundary relations between the shear strain, stress, and temperature relaxation times are built. The phase portraits and time dependencies of friction force are calculated. The random force (additive uncorrelated noise) effect on found damped oscillation mode is revealed. It is shown that white noise influence leads to an undamped oscillation mode corresponding to a periodic intermittent (stick–slip) regime of friction that is basically responsible for destruction of rubbing surfaces. The most pronounced such oscillatory behavior occurs if relaxation time of the temperature is much longer that its value for shear strain and stress.
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