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Statistically based continuum model of dislocation cell structure formation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F07%3A00080955" target="_blank" >RIV/67985556:_____/07:00080955 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Statistically based continuum model of dislocation cell structure formation

  • Original language description

    Within the framework of continuum mechanics, the formation of misoriented dislocation cells can be explained as a result of a trend to reduce the energetically costly hardening in multi slip by decreasing locally the number of active slip systems. In thestandard (local) approach, the continuum theory predicts an infinitesimally small cell size. The finite size of real cells is controlled by short-range dislocation interactions: (i) the self-force of the curved dislocations, (ii) the short-range correlation among dislocations. Within the proposed framework the cell size is a result of a compromise: bulk strain and dissipative energy tends to decrease the size, while short-range interactions restrict that tendency. In the present paper the non-local effects are analyzed using a model of an infinite crystal deformed by symmetric double slip, where plastic strain is carried by straight, parallel, edge dislocations. The constitutive equations of the model are derived from the statistical..

  • Czech name

    Spojity model formovani diclokacni struktury zalozeny na statistice

  • Czech description

    V rámci mechaniky kontinua se dá vznik dislokačních buněk vysvětlit jako snaha obejít energeticky náročné zpevnění v multiskluzu pomocí redukce aktivních skluzových systemů. Članek analyzuje nelokální interakce, které se podílejí na vzniku dislokací. Kostitutivní rovnice byly odvozeny ze statistické mechaniky.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BM - Solid-state physics and magnetism

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1075402" target="_blank" >IAA1075402: Variational analysis in nonsmooth problems of mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Physical Review. B

  • ISSN

    1098-0121

  • e-ISSN

  • Volume of the periodical

    75

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    14

  • Pages from-to

    1-14

  • UT code for WoS article

  • EID of the result in the Scopus database