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The mode of the serrated deformation is investigated mathematically in framework
of the thermoactivation model of unstable plastic deformation in metals at low temperatures.
The obtained solutions in the framework of known models, however, do not fully correspond
to experimental situation, as the stress oscillations in reality are usually irregular and
inhomogeneous. By this reason, additionally, the elastic correlations of neighboring
deformation zones were taken into account in the model. Numerical analysis model showed
that time dependence of the stress, temperature and plastic deformation rate acquires an
irregular stochastic character and is represented as an attractive set of trajectories in the phase
space of these variables - "strange attractor".
Keywords: thermomechanical instability, serrated plastic deformation, low temperatures, relaxation self-oscillations |
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