The dislocation configurational energy density in discrete dislocation plasticity
File(s)Accepted Manuscript.pdf (2.23 MB)
Accepted version
Author(s)
Zheng, Zebang
Prastiti, Nikoletta G
Balint, Daniel S
Dunne, Fionn PE
Type
Journal Article
Abstract
Dislocation configurational energy is the term assigned to describe the elastically-stored energy associated with the interaction of dislocations and their structures. It is the energy which is over and above that from the summation of the dislocation line energies when considered isolated and non-interacting. It is therefore different to the free energy and the stored energy. This paper presents a formulation for its determination utilising discrete dislocation plasticity. The total geometrically necessary (GND) and statistically stored dislocation density mean free distance allows the configurational energy density to be determined, thus providing a length scale over which the configurational energy is stored. This quantity is assessed in polycrystals undergoing fatigue loading showing that clear microstructural locations, often associated with high GND density, become established at which the progressive, cyclic, increasing configurational energy occurs. A higher length scale crystal plasticity stored energy density has recently been introduced which attempts to capture local dislocation configurational energy density as an indicator of fatigue crack nucleation and growth. The former is compared and assessed against the dislocation configurational energy density in this paper.
Date Issued
2019-08
Date Acceptance
2019-04-25
Citation
Journal of the Mechanics and Physics of Solids, 2019, 129, pp.39-60
ISSN
0022-5096
Publisher
Elsevier
Start Page
39
End Page
60
Journal / Book Title
Journal of the Mechanics and Physics of Solids
Volume
129
Copyright Statement
© 2019 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
EPSRC
Royal Academy Of Engineering
Rolls-Royce Plc
Identifier
https://www.sciencedirect.com/science/article/pii/S0022509619301516?via%3Dihub
Grant Number
EP/K034332/1
EP/K034332/1
MMRE_P54661
1500-00268658
Subjects
Science & Technology
Technology
Physical Sciences
Materials Science, Multidisciplinary
Mechanics
Physics, Condensed Matter
Materials Science
Physics
Configurational energy
Dislocation structure
Stored energy
Low cycle fatigue
Discrete dislocation plasticity
FATIGUE-CRACK NUCLEATION
STORED ENERGY
DWELL FATIGUE
CRYSTAL PLASTICITY
CYCLIC DEFORMATION
GRAIN-BOUNDARIES
SIZE
HCP
LOCALIZATION
COMPRESSION
Mechanical Engineering & Transports
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status
Published
Date Publish Online
2019-04-25