Strongly versus weakly non-local dislocation transport and pile-up

J.R. Mianroodi, R.H.J. Peerlings, B. Svendsen

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Abstract

The purpose of this work is the continuum modeling of transport and pile-up of infinite discrete dislocation walls driven by nonlocal interaction and external loading. The underlying model for dislocation wall interaction is based on the non-singular Peierls-Nabarro (PN) model [e.g., 4, Chapter 8] for the dislocation stress field. The influence of strongly non-local (SNL; long-range) interaction, and its approximation as weakly non-local (WNL; short-range), are studied in the context of interaction- and external-load-driven wall pile-up at a boundary. The pile-up boundary is modeled via a spatially dependent dislocation mobility which decreases to zero at the boundary. The pile-up behavior predicted by the current SNL-based continuous wall distribution modeling is consistent with that predicted by discrete wall distribution modeling [e.g., 1, 6]. Both deviate substantially from the pile-up behavior predicted by WNL-based continuous wall distribution modeling [e.g., 2, Chapter 2]. As such, it is clearly essential to account in continuum models for the intrinsic SNL character of the interaction
between same-sign dislocations ”close” to the boundary. Gradient-based WNL ”approximation” of this interaction is not justified.
Original languageEnglish
Title of host publicationContributions to the Foundations of Multidisciplinary Research in Mechanics
Subtitle of host publicationpapers presented during the 24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016) held in Montreal, Canada, August 22-26, 2016
EditorsJ.M. Floryan
PublisherIUTAM
Pages2464-2465
Number of pages2
ISBN (Electronic)978-0-660-05459-9
Publication statusPublished - 2017
Event24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016) - Montréal, Canada
Duration: 21 Aug 201626 Aug 2016

Conference

Conference24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016)
Abbreviated titleXXIV ICTAM
CountryCanada
CityMontréal
Period21/08/1626/08/16

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