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Curvature-dependent Eulerian interfaces in elastic solids

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00578171" target="_blank" >RIV/67985556:_____/23:00578171 - isvavai.cz</a>

  • Result on the web

    <a href="https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366" target="_blank" >https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1098/rsta.2022.0366" target="_blank" >10.1098/rsta.2022.0366</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Curvature-dependent Eulerian interfaces in elastic solids

  • Original language description

    We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a fully Eulerian interfacial energy. In order to penalize large curvature of the interface, we include a geometric term featuring a curvature varifold. Equilibrium solutions are proved to exist via minimization. We then use this model in an Eulerian topology optimization problem that incorporates a curvature penalization.

  • 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

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GF21-06569K" target="_blank" >GF21-06569K: Scales and shapes in continuum thermomechanics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences

  • ISSN

    1364-503X

  • e-ISSN

    1471-2962

  • Volume of the periodical

    381

  • Issue of the periodical within the volume

    2263

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    14

  • Pages from-to

    20220366

  • UT code for WoS article

    001103543200005

  • EID of the result in the Scopus database

    2-s2.0-85176354144