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A nonequilibrium thermodynamic model for viscoplasticity coupled with damage for BCC metals

Kar, G and Roy Chowdhury, S and Roy, D (2020) A nonequilibrium thermodynamic model for viscoplasticity coupled with damage for BCC metals. In: Mechanics of Advanced Materials and Structures .

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Official URL: https://dx.doi.org/10.1080/15376494.2020.1717692


We present a physically enhanced ductile damage model applicable for body centered cubic (BCC) metals. The current proposition extends the authors� recent work on thermo-viscoplasticity based on two-temperature thermodynamics and physics of disparate types of dislocation densities. The description of the thermodynamic system involves primarily two types of variables (or degrees of freedom, DOFs) representing several micro/meso-scopic processes occurring in two separable time-scales during ductile damage. Processes of rearrangement and movement of defects, namely dislocations, voids, micro-cracks, take place in a time scale much slower than that of the vibration of atoms about their equilibrium positions in the lattice. Consequently, they appear in the thermodynamic theory in terms of slow configurational DOFs and the fast kinetic vibrational DOFs respectively. While we consider physics based internal variables, e.g., mobile and forest dislocation densities, for modeling viscoplasticity alone, material degradation due to ductile damage is treated in a phenomenological fashion taking recourse to the framework of continuum damage mechanics. In order to assess the performance of our proposal, numerical experiments on boundary value problems of viscoplasticity with or without damage are carried out and validated against available experimental evidence.

Item Type: Journal Article
Publication: Mechanics of Advanced Materials and Structures
Publisher: Taylor and Francis Inc.
Additional Information: Copyright of this article belongs to Taylor and Francis Inc.
Keywords: Boundary value problems; Continuum damage mechanics; Degrees of freedom (mechanics); Forestry; Plasticity; Viscoplasticity, Dislocation densities; Ductile damage; Ductile damage models; Equilibrium positions; Experimental evidence; Non-equilibrium thermodynamic model; Numerical experiments; Thermo-viscoplasticity, Thermoacoustics
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 04 Mar 2020 10:08
Last Modified: 04 Mar 2020 10:08
URI: http://eprints.iisc.ac.in/id/eprint/64647

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