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Title: Metal viscoplasticity with two-temperature thermodynamics and two dislocation densities
Authors: Roy Chowdhury, Shubhankar
Kar G.
Roy D.
Reddy J.N.
Published in: Continuum Mechanics and Thermodynamics
Abstract: Abstract: Posed within the two-temperature theory of non-equilibrium thermodynamics, we propose a model for thermoviscoplastic deformation in metals. We incorporate the dynamics of dislocation densities–mobile and forest—that play the role of internal state variables in the formulation. The description based on two temperatures appears naturally when one recognizes that the thermodynamic system undergoing viscoplastic deformation is composed of two weakly interacting subsystems, viz. a kinetic-vibrational subsystem of the vibrating atomic lattices and a configurational subsystem of the slower degrees of freedom relating to defect motion, each with its own temperature. Starting with a basic model that involves only homogeneous deformation, a three-dimensional model for inhomogeneous viscoplasticity applicable to finite deformation is charted out in an overstress driven viscoplastic deformation framework. The model shows how the coupled evolutions of mobile and forest dislocation densities, which are critically influenced by the dynamics of configurational temperature, govern the strength and ductility of the metal. Unlike most contemporary models, the current proposal also affords a prediction of certain finer details as observed in the experimental data on stress–strain behaviour of metals and this in turn enhances the understanding of the evolving and interacting dislocation densities. Graphical Abstract: [Figure not available: see fulltext.]. © 2017, Springer-Verlag GmbH Germany, part of Springer Nature.
Citation: Continuum Mechanics and Thermodynamics(2018), 30(2): 397-420
Issue Date: 2018
Publisher: Springer New York LLC
Keywords: Entropy production
Finite deformation kinematics
Kinetic-vibrational and configurational subsystem
Mobile and forest dislocations
Overstress driven viscoplasticity
Two-temperature model
Viscoplastic deformation
ISSN: 9351175
Author Scopus IDs: 56818427600
Author Affiliations: Roy Chowdhury, S., Department of Civil Engineering, Computational Mechanics Lab., Indian Institute of Science, Bangalore, 560012, India
Kar, G., Department of Civil Engineering, Computational Mechanics Lab., Indian Institute of Science, Bangalore, 56001
Corresponding Author: Reddy, J.N.; Department of Mechanical Engineering, Advanced Computational Mechanics Lab., Texas A&M UniversityUnited States; email:
Appears in Collections:Journal Publications [CE]

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