Viscoplastic waves interaction plays a fundamental role in a strain localisation phenomenon especially during highly dynamic processes occurring for example during car or orbiting space objects crashes (strain rates locally reach the values of order 107 s-1 In zones of localised deformation an intensive evolution of damage occurs which is undoubtedly directional (anisotropic) and finally may cause failure (loss of continuity). Such processes are highly influenced by the temperature (reaching often melting points) and mostly under adiabatic conditions. Mathematical description of the mentioned phenomena formulated in terms of Perzyna's thermoviscoplasticity is considered in this paper.
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