Plastic flow in solids with interfaces
Anurag Gupta, David Steigmann

TL;DR
This paper develops a thermodynamically consistent continuum theory describing the evolution of incoherent interfaces within plastically deforming solids, accounting for interface dynamics driven by slip, misorientation, and bulk plasticity.
Contribution
It introduces a novel non-equilibrium theoretical framework for interface evolution in plastically deforming solids, incorporating defect distribution and interface kinetics.
Findings
Formulated a general kinematical framework for interface evolution.
Derived balance laws and jump conditions for incoherent interfaces.
Established a thermodynamically consistent constitutive model.
Abstract
A non-equilibrium theory of isothermal and diffusionless evolution of incoherent interfaces within a plastically deforming solid is developed. The irreversible dynamics of the interface are driven by its normal motion, incoherency (slip and misorientation), and an intrinsic plastic flow; and purely by plastic deformation in the bulk away from the interface. Using the continuum theory for defect distribution (in bulk and over the interface) we formulate a general kinematical framework, derive relevant balance laws and jump conditions, and prescribe a thermodynamically consistent constitutive/kinetic structure for interface evolution.
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