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Dislocations, Mesoscale Simulations and Plastic Flow$
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Ladislas Kubin

Print publication date: 2013

Print ISBN-13: 9780198525011

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780198525011.001.0001

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Background and Definitions

Background and Definitions

(p.1) 1 Background and Definitions
Dislocations, Mesoscale Simulations and Plastic Flow

Ladislas Kubin

Oxford University Press

Establishing dislocation-based models for plastic flow is a challenging task. A full set of references is provided on all experimental and theoretical aspects of dislocations and plastic flow that will be further developed. Major dislocation core properties are recalled, and the most important results drawn from the classical elastic theory of dislocations are introduced. The topics developed include the self-energy and self-stress of straight and curved dislocations, the definition and derivation of the Peach-Koehler relation and the various approximations of the line tension. This leads to a discussion of dislocation velocities, which can be obstacle-controlled or lattice-controlled, and to the Orowan law. The last two sections discuss multiscale modelling and provide an outline of the history and basic features of three-dimensional dislocation dynamics simulations.

Keywords:   dislocation cores, elastic theory of dislocations, Peach-Koehler force, dislocation velocity, Orowan’s law, multiscale modelling, dislocation dynamics simulations

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