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Titolo: AN EQUILIBRIUMTHEORY 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,2429 ST GILES OXFORD OX1 3LB ENGLAND
 Titolo Testata:
 SIAM review
fascicolo: 4,
volume: 35,
anno: 1993,
pagine: 580  609
 SICI:
 00361445(1993)35:4<580:AEODC>2.0.ZU;2D
 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 EQUILIBRIUMTHEORY OF DISLOCATION CONTINUA", SIAM review, 35(4), 1993, pp. 580609
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 zerostress 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 largescale deformations associated with plastic flow.
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Documento generato il 25/01/21 alle ore 02:54:33