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Titolo:
AN EQUILIBRIUM-THEORY OF DISLOCATION CONTINUA
Autore:
HEAD AK; HOWISON SD; OCKENDON JR; TIGHE SP;
Indirizzi:
DIV MAT SCI & TECHNOL,LOCKED BAG 33 CLAYTON VIC 3168 AUSTRALIA MATH INST,24-29 ST GILES OXFORD OX1 3LB ENGLAND
Titolo Testata:
SIAM review
fascicolo: 4, volume: 35, anno: 1993,
pagine: 580 - 609
SICI:
0036-1445(1993)35:4<580:AEODC>2.0.ZU;2-D
Fonte:
ISI
Lingua:
ENG
Soggetto:
DIMENSIONAL CONSIDERATIONS; STABILITY; PATTERNS; ENERGY;
Keywords:
DISLOCATION; CONTINUUM MODELING; HOMOGENIZATION;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Citazioni:
29
Recensione:
Indirizzi per estratti:
Citazione:
A.K. Head et al., "AN EQUILIBRIUM-THEORY OF DISLOCATION CONTINUA", SIAM review, 35(4), 1993, pp. 580-609

Abstract

A homogenised model for elastic media containing large numbers of dislocations is described. First, discrete dislocations are discussed from the mathematical and crystallographical points of view, and their stress fields are calculated. These building blocks are averaged to construct a homogenised model in which the dislocation distribution is averaged to a number density tensor. Equilibrium configurations are then considered and it is proved that. in the absence of externally appliedstresses, the only possible finite, simply connected distributions are ones in which all components of stress vanish everywhere. Some examples are given of these zero-stress everywhere (ZSE) distributions, andtheir geometrical interpretation is considered in terms of the plastic distortion tensor, which shows that they are equivalent to local rotations of the crystal lattice. Finally, some conjectures are made about the response of a cellular ZSE distribution to an applied stress, introducing the idea of ''polarization'' by analogy with electromagnetism. and a possible scenario is sketched for the large-scale deformations associated with plastic flow.

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Documento generato il 25/11/20 alle ore 19:02:20