4.6 Article

Plastic flow in solids with interfaces

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 35, Issue 15, Pages 1799-1824

Publisher

WILEY-BLACKWELL
DOI: 10.1002/mma.1611

Keywords

continuous distribution of dislocations; finite strain elasto-plasticity; incoherent interfaces; interface evolution

Funding

  1. Indian Institute of Technology, Kanpur, India

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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. Copyright (c) 2012 John Wiley & Sons, Ltd.

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