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An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00482286" target="_blank" >RIV/61388998:_____/17:00482286 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3934/dcdss.2017044" target="_blank" >http://dx.doi.org/10.3934/dcdss.2017044</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3934/dcdss.2017044" target="_blank" >10.3934/dcdss.2017044</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat

  • Original language description

    The model of brittle cracks in elastic solids at small strains is approximated by the Ambrosio-Tortorelli functional and then extended into evolution situation to an evolutionary system, involving viscoelasticity, inertia, heat transfer,and coupling with Cahn-Hilliard-type diffusion of a fluid due to Fick’s or Darcy’s laws. Damage resulting from the approximated crack model is considered rate independent. The fractional-step Crank-Nicolson-type time discretisation is devised to decouplenthe system in a way so that the energy is conserved even in the discrete scheme. The numerical stability of such a scheme is shown, and also convergence towards suitably defined weak solutions. Various generalizations involving plasticity, healing in damage, or phase transformation are mentioned, too.

  • 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

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • 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 S

  • ISSN

    1937-1632

  • e-ISSN

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    27

  • Pages from-to

    867-893

  • UT code for WoS article

    000401080600014

  • EID of the result in the Scopus database

    2-s2.0-85018403342