Incompatibility of strains and its application to mesoscopic studies of plasticity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081723%3A_____%2F10%3A00348736" target="_blank" >RIV/68081723:_____/10:00348736 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Incompatibility of strains and its application to mesoscopic studies of plasticity

Original language description

Structural transitions are invariably affected by lattice distortions. If the body is to remain crack free, the strain field cannot be arbitrary but has to satisfy the Saint-Venant compatibility constraint. Equivalently, an incompatibility constraint consistent with the actual dislocation network has to be satisfied in media with dislocations. We provide a systematic analysis of this constraint in three dimensions and show how three incompatibility equations accommodate an arbitrary dislocation density.This approach allows the internal stress field to be calculated for an anisotropic material with spatially inhomogeneous microstructure and distribution of dislocations by minimizing the free energy. This is illustrated by calculating the stress field of an edge dislocation and comparing it with that of an edge dislocation in an infinite isotropic medium. We outline how this procedure can be utilized to study the interaction of plasticity with polarization and magnetization.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BM - Solid-state physics and magnetism

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physical Review. B

ISSN

1098-0121

e-ISSN

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Volume of the periodical

82

Issue of the periodical within the volume

14

Country of publishing house

US - UNITED STATES

Number of pages

5

Pages from-to

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UT code for WoS article

000282678900004

EID of the result in the Scopus database

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