Incorporating the influence of the temperature into a mesoscopic continuum description of dislocation systems

B. Bakó, I. Groma, M. Avlonitis, E. C. Aifantis

Research output: Contribution to journalArticle

Abstract

Understanding the collective behaviour of dislocations is a key issue of recent research activity on dislocation theory. Around the micron scale a continuum description operating with continuous fields (like stored and geometrically necessary dislocation densities) seems to be an efficient approach for describing phenomena like pattern formation or size effects. The aim of the present paper is to incorporate the influence of temperature and dislocation climb into the time evolution equations of the different dislocation densities. For a system of straight dislocations a Fokker-Planck type equation is derived. By performing a coarse graining procedure it is shown that thermal noise and climb lead to the appearance of additional gradient-like terms.

Original languageEnglish
Pages (from-to)218-221
Number of pages4
JournalMaterials Science and Engineering A
Volume400-401
Issue number1-2 SUPPL.
DOIs
Publication statusPublished - Jul 25 2005

Fingerprint

Thermal noise
continuums
Temperature
temperature
thermal noise
gradients

Keywords

  • Dislocation dynamics
  • Dislocations
  • Effect of temperature

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Incorporating the influence of the temperature into a mesoscopic continuum description of dislocation systems. / Bakó, B.; Groma, I.; Avlonitis, M.; Aifantis, E. C.

In: Materials Science and Engineering A, Vol. 400-401, No. 1-2 SUPPL., 25.07.2005, p. 218-221.

Research output: Contribution to journalArticle

@article{c7447ffd59e74a42aa0fb0c28d9db3eb,
title = "Incorporating the influence of the temperature into a mesoscopic continuum description of dislocation systems",
abstract = "Understanding the collective behaviour of dislocations is a key issue of recent research activity on dislocation theory. Around the micron scale a continuum description operating with continuous fields (like stored and geometrically necessary dislocation densities) seems to be an efficient approach for describing phenomena like pattern formation or size effects. The aim of the present paper is to incorporate the influence of temperature and dislocation climb into the time evolution equations of the different dislocation densities. For a system of straight dislocations a Fokker-Planck type equation is derived. By performing a coarse graining procedure it is shown that thermal noise and climb lead to the appearance of additional gradient-like terms.",
keywords = "Dislocation dynamics, Dislocations, Effect of temperature",
author = "B. Bak{\'o} and I. Groma and M. Avlonitis and Aifantis, {E. C.}",
year = "2005",
month = "7",
day = "25",
doi = "10.1016/j.msea.2005.02.075",
language = "English",
volume = "400-401",
pages = "218--221",
journal = "Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing",
issn = "0921-5093",
publisher = "Elsevier BV",
number = "1-2 SUPPL.",

}

TY - JOUR

T1 - Incorporating the influence of the temperature into a mesoscopic continuum description of dislocation systems

AU - Bakó, B.

AU - Groma, I.

AU - Avlonitis, M.

AU - Aifantis, E. C.

PY - 2005/7/25

Y1 - 2005/7/25

N2 - Understanding the collective behaviour of dislocations is a key issue of recent research activity on dislocation theory. Around the micron scale a continuum description operating with continuous fields (like stored and geometrically necessary dislocation densities) seems to be an efficient approach for describing phenomena like pattern formation or size effects. The aim of the present paper is to incorporate the influence of temperature and dislocation climb into the time evolution equations of the different dislocation densities. For a system of straight dislocations a Fokker-Planck type equation is derived. By performing a coarse graining procedure it is shown that thermal noise and climb lead to the appearance of additional gradient-like terms.

AB - Understanding the collective behaviour of dislocations is a key issue of recent research activity on dislocation theory. Around the micron scale a continuum description operating with continuous fields (like stored and geometrically necessary dislocation densities) seems to be an efficient approach for describing phenomena like pattern formation or size effects. The aim of the present paper is to incorporate the influence of temperature and dislocation climb into the time evolution equations of the different dislocation densities. For a system of straight dislocations a Fokker-Planck type equation is derived. By performing a coarse graining procedure it is shown that thermal noise and climb lead to the appearance of additional gradient-like terms.

KW - Dislocation dynamics

KW - Dislocations

KW - Effect of temperature

UR - http://www.scopus.com/inward/record.url?scp=21644441523&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21644441523&partnerID=8YFLogxK

U2 - 10.1016/j.msea.2005.02.075

DO - 10.1016/j.msea.2005.02.075

M3 - Article

AN - SCOPUS:21644441523

VL - 400-401

SP - 218

EP - 221

JO - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

JF - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

SN - 0921-5093

IS - 1-2 SUPPL.

ER -