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On the Derivation of Boundary Conditions for Continuum Dislocation Dynamics
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Crystals 2017, 7(8), 243;

Dislocation Creep: Climb and Glide in the Lattice Continuum

School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, USA
Received: 9 June 2017 / Revised: 29 July 2017 / Accepted: 31 July 2017 / Published: 4 August 2017
(This article belongs to the Special Issue Plasticity of Crystals and Interfaces)
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A continuum theory for high temperature creep of polycrystalline solids is developed. It includes the relevant deformation mechanisms for diffusional and dislocation creep: elasticity with eigenstrains resulting from vacancy diffusion, dislocation climb and glide, and the lattice growth/loss at the boundaries enabled by diffusion. All the deformation mechanisms are described with respect to the crystalline lattice, so that the continuum formulation with lattice motion as the basis is necessary. However, dislocation climb serves as the source sink of lattice sites, so that the resulting continuum has a sink/source of its fundamental component, which is reflected in the continuity equation. Climb as a sink/source also affects the diffusion part of the problem, but the most interesting discovery is the climb-glide interaction. The loss/creation of lattice planes through climb affects the geometric definition of crystallographic slip and necessitates the definition of two slip fields: the true slip and the effective slip. The former is the variable on which the dissipative power is expanded during dislocation glide and is thus, the one that must enter the glide constitutive equations. The latter describes the geometry of the slip affected by climb, and is necessary for kinematic analysis. View Full-Text
Keywords: dislocation climb; lattice sink; vacancy sink; continuum with a material sink; climb-glide interaction dislocation climb; lattice sink; vacancy sink; continuum with a material sink; climb-glide interaction

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Mesarovic, S.D. Dislocation Creep: Climb and Glide in the Lattice Continuum. Crystals 2017, 7, 243.

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