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Dynamics of charged elastic bodies under diffusion at large strains

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F20%3A00536114" target="_blank" >RIV/61388998:_____/20:00536114 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/20:10420910

  • Result on the web

    <a href="https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019234" target="_blank" >https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019234</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3934/dcdsb.2019234" target="_blank" >10.3934/dcdsb.2019234</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dynamics of charged elastic bodies under diffusion at large strains

  • Original language description

    We present a model for the dynamics of elastic or poroelastic bodies with monopolar repulsive long-range (electrostatic) interactions at large strains. Our model respects (only) locally the non-self-interpenetration condition but can cope with possible global self-interpenetration, yielding thus a certain justification of most of engineering calculations which ignore these effects in the analysis of elastic structures. These models necessarily combines Lagrangian (material) description with Eulerian (actual) evolving configuration evolving in time. Dynamical problems are studied by adopting the concept of nonlocal nonsimple materials, applying the change of variables formula for Lipschitz-continuous mappings, and relying on a positivity of determinant of deformation gradient thanks to a result by Healey and Kromer.

  • 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

    <a href="/en/project/GA19-04956S" target="_blank" >GA19-04956S: Dynamic and nonlinear behaviour of smart structures; modelling and optimization</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Discrete and Continuous Dynamical Systems-Series B

  • ISSN

    1531-3492

  • e-ISSN

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    22

  • Pages from-to

    1415-1437

  • UT code for WoS article

    000505581000012

  • EID of the result in the Scopus database

    2-s2.0-85077563896