, Volume 86, Issue 1-4, pp 65-81

The stabilizing role of higher-order strain gradients in non-linear thermoviscoplasticity

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The stabilizing role of higher order strain gradients incorporated in the constitutive equation for the stress is illustrated. It is shown, in particular, that these gradients “smooth out” possible non-uniformities in strain and temperature that may develop in a thermoviscoplastic slab sheared by a constant boundary force. Moreover, it is demonstrated that the occurrence and nature of instability is qualitatively different than the localized “catastrophic” shear banding instability of the classical analysis where higher order strain gradients are not included.