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Uniqueness and stability of activated dislocation shapes in crystals

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU139373" target="_blank" >RIV/00216305:26210/21:PU139373 - isvavai.cz</a>

  • Alternative codes found

    RIV/68081723:_____/21:00545719

  • Result on the web

    <a href="https://iopscience.iop.org/article/10.1088/1361-651X/abd041" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-651X/abd041</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/1361-651X/abd041" target="_blank" >10.1088/1361-651X/abd041</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Uniqueness and stability of activated dislocation shapes in crystals

  • Original language description

    Simplified models of thermally activated dislocation glide constitute an important link between atomic-level studies of isolated dislocations and macroscopic thermodynamic properties of materials. These models rest upon the activation enthalpy, which is the energy to transform an initially straight dislocation into its activated state at finite applied stresses. Minimizing this activation enthalpy leads to a boundary value problem for the shape of the dislocation line. Besides two constant solutions corresponding to a straight dislocation in its stable and unstable states at the applied stress, there exist an infinite number of non-constant solutions. We investigate the characters of these solutions for dislocations anchored at their ends. Using the second variation of the activation enthalpy, we derive a set of conditions that define a unique activated state of the dislocation. The corresponding analysis demonstrates that the shape of the dislocation in this activated state must change with the applied stress to maintain the state of minimum activation enthalpy.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

  • ISSN

    0965-0393

  • e-ISSN

    1361-651X

  • Volume of the periodical

    2021

  • Issue of the periodical within the volume

    29

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

    1-13

  • UT code for WoS article

    000615217900001

  • EID of the result in the Scopus database

    2-s2.0-85101842742