Multi-cell continuum approximation for discrete medium with microscopic rotations
We consider 1D and 2D microscopic models for crystals having finite size particles, as is the case with many dielectric crystals. Finite size particles with rotational degrees of freedom can lead to several unusual effects exhibited by such crystals, e.g., a negative Poisson's ratio, incommensu...
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Published in | Physica Status Solidi (b) Vol. 242; no. 3; pp. 528 - 537 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Weinheim
WILEY-VCH Verlag
01.03.2005
WILEY‐VCH Verlag |
Subjects | |
Online Access | Get full text |
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Summary: | We consider 1D and 2D microscopic models for crystals having finite size particles, as is the case with many dielectric crystals. Finite size particles with rotational degrees of freedom can lead to several unusual effects exhibited by such crystals, e.g., a negative Poisson's ratio, incommensurate phase, and unique properties of topological defects. Derivation of the continuum approximations for these models leads to two developments: i) micropolar media, i.e., the continuum analog to the microscopic model with particles having rotational degrees of freedom; ii) the continuum approximation based on an extended periodic cell, which will be called the multi‐cell approximation. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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Bibliography: | istex:02F330D2DA15E81FE31C26C8BD59DE75C06EB5DF ArticleID:PSSB200460373 ark:/67375/WNG-5BB8NK83-F ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0370-1972 1521-3951 |
DOI: | 10.1002/pssb.200460373 |