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References (5)
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N. Charalambakis, E. Aifantis (1991)
Thermoviscoplastic shear instability and higher order strain gradientsInternational Journal of Engineering Science, 29
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C. Fressengeas, A. Molinari (1987)
Instability and localization of plastic flow in shear at high strain ratesJournal of The Mechanics and Physics of Solids, 35
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N. Charalambakis (1985)
Time-asymptotic stability of non-newtonian fluid or plastic solidMechanics Research Communications, 12
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E. Aifantis (1984)
On the Microstructural Origin of Certain Inelastic ModelsJournal of Engineering Materials and Technology-transactions of The Asme, 106
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E. Aifantis (1987)
The physics of plastic deformationInternational Journal of Plasticity, 3
- Publisher
- Springer Journals
- Copyright
- Copyright © 1990 by Springer-Verlag
- Subject
- Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Solid Mechanics; Solid Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
- ISSN
- 0001-5970
- eISSN
- 1619-6937
- DOI
- 10.1007/BF01174560
- Publisher site
- See Article on Publisher Site
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.
Journal
Acta Mechanica – Springer Journals
Published: Feb 1, 2005