On stress controlled thermoviscoplastic shearing and higher order strain gradients

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Department of Mechanical Engineering-Engineering Mechanics


We give a brief discussion on the stability and non-uniformity of shear in a slab of finite width and infinite extent made from a non-hardening, non-conducting, anisothermal viscoplastic material with stress controlled boundary conditions. The new ingredient in our analysis is the inclusion of higher-order strain gradients in the expression for the flow stress. It is shown that this inclusion allows for the development of non-uniformities for a certain condition between the thermomechanical parameters for which the classical model (absence of strain gradients) imposes a uniformly evolving stable solution.

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© 1990 Springer-Verlag. Publisher’s version of record: https://doi.org/10.1007/BF01174560

Publication Title

Acta Mechanica