Thermodynamic theory of dislocation-enabled plasticity
Abstract
The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must be characterized by a thermodynamically defined effective temperature that is not the same as the ordinary temperature. The second hypothesis is that the overwhelmingly dominant mechanism controlling plastic deformation is thermally activated depinning of entangled pairs of dislocations. This paper consists of a systematic reformulation of this theory followed by examples of its use in analyses of experimentally observed phenomena including strain hardening, grain-size (Hall-Petch) effects, yielding transitions, and adiabatic shear banding.
- Authors:
-
- Univ. of California, Santa Barbara, CA (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1412038
- Alternate Identifier(s):
- OSTI ID: 1410723
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Langer, J. S. Thermodynamic theory of dislocation-enabled plasticity. United States: N. p., 2017.
Web. doi:10.1103/PhysRevE.96.053005.
Langer, J. S. Thermodynamic theory of dislocation-enabled plasticity. United States. https://doi.org/10.1103/PhysRevE.96.053005
Langer, J. S. Thu .
"Thermodynamic theory of dislocation-enabled plasticity". United States. https://doi.org/10.1103/PhysRevE.96.053005. https://www.osti.gov/servlets/purl/1412038.
@article{osti_1412038,
title = {Thermodynamic theory of dislocation-enabled plasticity},
author = {Langer, J. S.},
abstractNote = {The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must be characterized by a thermodynamically defined effective temperature that is not the same as the ordinary temperature. The second hypothesis is that the overwhelmingly dominant mechanism controlling plastic deformation is thermally activated depinning of entangled pairs of dislocations. This paper consists of a systematic reformulation of this theory followed by examples of its use in analyses of experimentally observed phenomena including strain hardening, grain-size (Hall-Petch) effects, yielding transitions, and adiabatic shear banding.},
doi = {10.1103/PhysRevE.96.053005},
journal = {Physical Review E},
number = 5,
volume = 96,
place = {United States},
year = {Thu Nov 30 00:00:00 EST 2017},
month = {Thu Nov 30 00:00:00 EST 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 16 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable
journal, January 1988
- Follansbee, P. S.; Kocks, U. F.
- Acta Metallurgica, Vol. 36, Issue 1
Thermodynamic theory of dislocation-mediated plasticity
journal, June 2010
- Langer, J. S.; Bouchbinder, Eran; Lookman, Turab
- Acta Materialia, Vol. 58, Issue 10
Shear-transformation-zone theory of yielding in athermal amorphous materials
journal, July 2015
- Langer, J. S.
- Physical Review E, Vol. 92, Issue 1
The effect of grain size on the high-strain, high-strain-rate behavior of copper
journal, November 1995
- Meyers, Marc A.; Andrade, Umberto R.; Chokshi, Atul H.
- Metallurgical and Materials Transactions A, Vol. 26, Issue 11
Fracture Toughness of Metallic Glasses: Annealing-Induced Embrittlement
journal, November 2012
- Rycroft, Chris H.; Bouchbinder, Eran
- Physical Review Letters, Vol. 109, Issue 19
Nonequilibrium thermodynamics of driven amorphous materials. I. Internal degrees of freedom and volume deformation
journal, September 2009
- Bouchbinder, Eran; Langer, J. S.
- Physical Review E, Vol. 80, Issue 3
The thermodynamics of elastic materials with heat conduction and viscosity
journal, December 1963
- Coleman, Bernard D.; Noll, Walter
- Archive for Rational Mechanics and Analysis, Vol. 13, Issue 1
Thermal effects in dislocation theory
journal, December 2016
- Langer, J. S.
- Physical Review E, Vol. 94, Issue 6
Constitutive equations for high temperature flow stress of aluminium alloys
journal, March 1997
- Shi, H.; McLaren, A. J.; Sellars, C. M.
- Materials Science and Technology, Vol. 13, Issue 3
Dynamics of viscoplastic deformation in amorphous solids
journal, June 1998
- Falk, M. L.; Langer, J. S.
- Physical Review E, Vol. 57, Issue 6
Model of plastic deformation for extreme loading conditions
journal, January 2003
- Preston, Dean L.; Tonks, Davis L.; Wallace, Duane C.
- Journal of Applied Physics, Vol. 93, Issue 1
Deformation and Failure of Amorphous, Solidlike Materials
journal, March 2011
- Falk, Michael L.; Langer, J. S.
- Annual Review of Condensed Matter Physics, Vol. 2, Issue 1
Notch Fracture Toughness of Glasses: Dependence on Rate, Age, and Geometry
journal, August 2016
- Vasoya, Manish; Rycroft, Chris H.; Bouchbinder, Eran
- Physical Review Applied, Vol. 6, Issue 2
60 Years of Hall-Petch: Past to Present Nano-Scale Connections
journal, January 2014
- Armstrong, Ronald W.
- MATERIALS TRANSACTIONS, Vol. 55, Issue 1
Statistical thermodynamics of strain hardening in polycrystalline solids
journal, September 2015
- Langer, J. S.
- Physical Review E, Vol. 92, Issue 3
Thermodynamic dislocation theory of high-temperature deformation in aluminum and steel
journal, July 2017
- Le, K. C.; Tran, T. M.; Langer, J. S.
- Physical Review E, Vol. 96, Issue 1
Thermal effects in dislocation theory. II. Shear banding
journal, January 2017
- Langer, J. S.
- Physical Review E, Vol. 95, Issue 1
Physics and phenomenology of strain hardening: the FCC case
journal, January 2003
- Kocks, U. F.; Mecking, H.
- Progress in Materials Science, Vol. 48, Issue 3
An experimental study of the formation process of adiabatic shear bands in a structural steel
journal, January 1988
- Marchand, A.; Duffy, J.
- Journal of the Mechanics and Physics of Solids, Vol. 36, Issue 3
The Mechanism of Plastic Deformation of Crystals. Part I. Theoretical
journal, July 1934
- Taylor, G. I.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 145, Issue 855
Works referencing / citing this record:
Statistical Thermodynamics of Crystal Plasticity
journal, January 2019
- Langer, J. S.
- Journal of Statistical Physics, Vol. 175, Issue 3-4
Nucleation Theory for Yielding of Nearly Defect-Free Crystals: Understanding Rate Dependent Yield Points
journal, January 2020
- Reddy, Vikranth Sagar; Nath, Parswa; Horbach, Jürgen
- Physical Review Letters, Vol. 124, Issue 2
A nucleation theory for yielding of nearly defect-free crystals: understanding rate dependent yield points
text, January 2019
- Reddy, Vikranth Sagar; Nath, Parswa; Horbach, Jürgen
- arXiv