Abstract
The modelling of the generation and propagation of inelastic strain fronts of Lueders in metals and slow deformation waves in geomedia is carried out. It is supposed that the deformation waves have an identical physical nature. They are treated as auto-wave processes caused by the local loss of stability in loaded nonlinear media, its parametric disturbance and cooperative response under loading, i.e. resulting from self-organization in deformed media. The deformation waves display soliton-like behavior at mutual impact.
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