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Title: Fluctuation relation based continuum model for thermoviscoplasticity in metals
Authors: Roy Chowdhury, Shubhankar
Roy D.
Reddy J.N.
Srinivasa A.
Published in: Journal of the Mechanics and Physics of Solids
Abstract: A continuum plasticity model for metals is presented from considerations of non-equilibrium thermodynamics. Of specific interest is the application of a fluctuation relation that subsumes the second law of thermodynamics en route to deriving the evolution equations for the internal state variables. The modelling itself is accomplished in a two-temperature framework that appears naturally by considering the thermodynamic system to be composed of two weakly interacting subsystems, viz. a kinetic vibrational subsystem corresponding to the atomic lattice vibrations and a configurational subsystem of the slower degrees of freedom describing the motion of defects in a plastically deforming metal. An apparently physical nature of the present model derives upon considering the dislocation density, which characterizes the configurational subsystem, as a state variable. Unlike the usual constitutive modelling aided by the second law of thermodynamics that merely provides a guideline to select the admissible (though possibly non-unique) processes, the present formalism strictly determines the process or the evolution equations for the thermodynamic states while including the effect of fluctuations. The continuum model accommodates finite deformation and describes plastic deformation in a yield-free setup. The theory here is essentially limited to face-centered cubic metals modelled with a single dislocation density as the internal variable. Limited numerical simulations are presented with validation against relevant experimental data. ¬© 2016 Elsevier Ltd
Citation: Journal of the Mechanics and Physics of Solids(2016), 96(): 353-368
Issue Date: 2016
Publisher: Elsevier Ltd
Keywords: Entropy production
Fluctuation theorem
Kinetic vibrational and configurational subsystem
Plastic deformation
Two-temperature model
Yield-free theory
ISSN: 225096
Author Scopus IDs: 56818427600
Author Affiliations: Roy Chowdhury, S., Computational Mechanics Lab., Department of Civil Engineering, Indian Institute of Science, Bangalore, 560012, India
Roy, D., Computational Mechanics Lab., Department of Civil Engineering, Indian Institute of Science, Bangalore, 56001
Funding Details: DR thanks the Defense Research and Development Organization, Government of India , for partially funding this research through Grant #DRDO/0642 .
Corresponding Author: Reddy, J.N.; Advanced Computational Mechanics Lab., Department of Mechanical Engineering, Texas A&M UniversityUnited States; email:
Appears in Collections:Journal Publications [CE]

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