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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Which Macroscopic Parameters Characterize Dislocation Networks?
Victor Berdichevsky1;1WAYNE STATE UNIVERSITY, Detroit, United States;
Type of Paper: Plenary
Id Paper: 57
Topic: 1
Abstract:
The question in the title is the central one for constructing plasticity of polycrystals based on the mechanisms of micro-deformation. The first suggestions were made by Nye, Bilby and Kroner in mid-50ies. Since then new proposals keep coming. Unfortunately, all proposed macroscopic characteristics have some intrinsic flaws. In this work, the macroscopic parameters describing dislocation networks are determined from the following proposition: macroscopic parameters must determine the value of energy of dislocation network. This "postulate" seems self-evident, but until recently there were no technical tools to apply it. An advancement in understanding of the variational principle for probabilistic measure of random structures allows us to apply this variational principle to dislocation networks and get the answer to the question posed.