English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The dynamic generalization of the Peierls-Nabarro equation for dislocationscores in an isotropic elastic medium is derived for screw, and edgedislocations of the `glide' and `climb' type, by means of Mura's eigenstrainsmethod. These equations are of the integro-differential type and feature anon-local kernel in space and time. The equation for the screw differs by aninstantaneous term from a previous attempt by Eshelby. Those for both types ofedges involve in addition an unusual convolution with the second spatialderivative of the displacement jump. As a check, it is shown that theseequations correctly reduce, in the stationary limit and for all three types ofdislocations, to Weertman's equations that extend the static Peierls-Nabarromodel to finite constant velocities.

Dynamic Peierls-Nabarro equations for elastically isotropic crystals