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Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2010

Dynamic Peierls-Nabarro equations for elastically isotropic crystals

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Yves-Patrick Pellegrini

Abstract

The dynamic generalization of the Peierls-Nabarro equation for dislocations cores in an isotropic elastic medium is derived for screw, and edge dislocations of the `glide' and `climb' type, by means of Mura's eigenstrains method. These equations are of the integro-differential type and feature a non-local kernel in space and time. The equation for the screw differs by an instantaneous term from a previous attempt by Eshelby. Those for both types of edges involve in addition an unusual convolution with the second spatial derivative of the displacement jump. As a check, it is shown that these equations correctly reduce, in the stationary limit and for all three types of dislocations, to Weertman's equations that extend the static Peierls-Nabarro model to finite constant velocities.

Dates and versions

cea-00412985 , version 1 (02-09-2009)

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Yves-Patrick Pellegrini. Dynamic Peierls-Nabarro equations for elastically isotropic crystals. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2010, 81, pp.024101. ⟨10.1103/PhysRevB.81.024101⟩. ⟨cea-00412985⟩

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