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Driving Forces and Boundary Conditions in Continuum Dislocation\n Mechanics

2002/05/19 by Amit Acharya, Acharya, Amit
Engineering · Materials Science · Physics and Astronomy · #Boundary value problem #Bowing #Classical mechanics #Condensed matter physics #Constitutive equation #Continuum hypothesis #Continuum mechanics #Dislocation #Dislocation creep #FOS: Physical sciences #High Temperature Alloys and Creep #Materials Science (cond-mat.mtrl-sci) #Materials science #Mechanical stress and fatigue analysis #Mechanics #Metallurgy and Material Forming #Microstructure and mechanical properties #Nucleation #Peierls stress #Physics #Slip (aerodynamics) #Stress field #Thermodynamics #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0205402

published in arXiv (Cornell University) (Cornell University) · 31 pages

openalex publication_date 2002/05/19 · arxiv created 2002/05/20 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

As a guide to constitutive specification, driving forces for dislocation\nvelocity and nucleation rates are derived for a field theory of dislocation\nmechanics. A condition of closure for the theory in the form of a boundary\ncondition for dislocation density is also derived. Kinematical features of\ndislocation evolution like initiation of bowing of a pinned screw segment, and\ninitiation of cross-slip of a screw segment are discussed. An exact solution\nfor the expansion of a polygonal loop as well as representation within the\ntheory of dislocation level Schmid and non-Schmid behavior, and unloaded\nstress-free and steady microstructures are also discussed.\n

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