2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics

Editors:	Kongoli F, Bordas S, Estrin Y
Publisher:	Flogen Star OUTREACH
Publication Year:	2015
Pages:	300 pages
ISBN:	978-1-987820-24-9
ISSN:	2291-1227 (Metals and Materials Processing in a Clean Environment Series)

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30 Years of Gradient Terms

Istvan Groma¹;
¹EOTVOS UNIVERSITY BUDAPEST, Budapest, Hungary;
Type of Paper: Keynote
Id Paper: 211
Topic: 1

Abstract:

In crystal plasticity, there are several phenomena, like size effect, dislocation patterning, dislocation core structure that cannot be modeled with traditional local plasticity theories. Pioneered by Elias Aifantis during the past 30 years, several different gradient type terms were proposed to account for the different nonlocal effects.
In the talk, we present a survey on our current understanding of the statistical physics origin of gradient terms in continuum theory of dislocations and in nonlocal elasticity theory. It is discussed what sort of terms can or cannot be justified.

Keywords:

Dislocation; Multiscale; Plasticity;


Cite this article as:

Groma I. 30 Years of Gradient Terms. In: Kongoli F, Bordas S, Estrin Y, editors. Sustainable Industrial Processing Summit SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics. Volume 1. Montreal(Canada): FLOGEN Star Outreach. 2015. p. 127-128.