The Stored Energy of Cold Work, Thermal Annealing, and Other Thermodynamic Issues in Single Crystal Plasticity at Small Length Scales
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ANAND_GURTIN_REDDY_2015_dspace.pdf
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Author(s)
Anand, Lallit
Gurtin, Morton E.
Reddy, Daya
Date Issued
August 2014
Journal
International Journal of Plasticity
Publisher
Elsevier B.V.
Citation
Anand, Lallit, Morton E. Gurtin, and Daya Reddy. "The Stored Energy of Cold Work, Thermal Annealing, and Other Thermodynamic Issues in Single Crystal Plasticity at Small Length Scales. International Journal of Plasticity, vol. 64, 2015, pp. 1-25.
Version
Author's final manuscript
Abstract
This paper develops a thermodynamically consistent gradient theory of single-crystal plasticity using the principle of virtual power as a paradigm to develop appropriate balance laws for forces and energy. The resulting theory leads to a system of microscopic force balances, one balance for each slip system, and to an energy balance that accounts for power expended during plastic flow via microscopic forces acting in concert with slip-rates and slip-rate gradients. Central to the theory are an internal energy and entropy, plastic in nature, dependent on densities that account for the accumulation of glide dislocations as well as geometrically necessary dislocations – and that, consequently, represent quantities associated with cold work. Our theory allows us to discuss – within the framework of a gradient theory – the fraction of plastic stress-power that goes into heating, as well as the reduction of the dislocation density in a cold-worked material upon subsequent (or concurrent) thermal annealing.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.ijplas.2014.07.009
