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A Phase-Field Approach to Eulerian Interfacial Energies

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00504366" target="_blank" >RIV/67985556:_____/19:00504366 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007%2Fs00205-019-01391-8" target="_blank" >https://link.springer.com/article/10.1007%2Fs00205-019-01391-8</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00205-019-01391-8" target="_blank" >10.1007/s00205-019-01391-8</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Phase-Field Approach to Eulerian Interfacial Energies

  • Original language description

    We analyze a phase-field approximation of a sharp-interface model for two-phase materials proposed by Šilhavý (in: Hackl (ed) IUTAM symposium on variational concepts with applications to the mechanics of materials, pp 233–244, Springer, Dordrecht, 2010. J Elast 105:271–303, 2011). The distinguishing trait of the model resides in the fact that the interfacial term is Eulerian in nature, for it is defined on the deformed configuration. We discuss a functional frame allowing for the existence of phase-field minimizers and Γ -convergence to the sharp-interface limit. As a by-product, we provide additional detail on the admissible sharp-interface configurations with respect to the analysis in Šilhavý (2010, 2011).

  • 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

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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archive for Rational Mechanics and Analysis

  • ISSN

    0003-9527

  • e-ISSN

  • Volume of the periodical

    234

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    23

  • Pages from-to

    351-373

  • UT code for WoS article

    000475701000008

  • EID of the result in the Scopus database

    2-s2.0-85065144275