On stress controlled thermoviscoplastic shearing and higher order strain gradients
Document Type
Article
Publication Date
3-1990
Department
Department of Mechanical Engineering-Engineering Mechanics
Abstract
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.
Publication Title
Acta Mechanica
Recommended Citation
Charalambakis, N.,
&
Aifantis, E.
(1990).
On stress controlled thermoviscoplastic shearing and higher order strain gradients.
Acta Mechanica,
81(1-2), 109-114.
http://doi.org/10.1007/BF01174560
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4295
Publisher's Statement
© 1990 Springer-Verlag. Publisher’s version of record: https://doi.org/10.1007/BF01174560