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A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling

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    SYSNO ASEP0548854
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleA convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling
    Author(s) Roubíček, Tomáš (UT-L) RID, ORCID
    Tomassetti, G. (IT)
    Number of authors2
    Source TitleContinuum Mechanics and Thermodynamics. - : Springer - ISSN 0935-1175
    Roč. 33, č. 6 (2021), s. 2345-2361
    Number of pages16 s.
    Publication formPrint - P
    Languageeng - English
    CountryDE - Germany
    Keywordsinelasticity ; damage mechanics ; diffusion ; eulerian description ; korteweg stress ; weak solutions
    Subject RIVBA - General Mathematics
    OECD categoryApplied mathematics
    R&D ProjectsGA19-04956S GA ČR - Czech Science Foundation (CSF)
    EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    Method of publishingLimited access
    Institutional supportUT-L - RVO:61388998
    UT WOS000684899400001
    EID SCOPUS85112437077
    DOI10.1007/s00161-021-01043-x
    AnnotationDevised towards geophysical applications for various processes in the lithosphere or the crust, a model of poro-elastodynamics with inelastic strains and other internal variables like damage (aging) and porosity as well as with diffusion of water is formulated fully in the Eulerian setting. Concepts of gradient of the total strain rate as well as the additive splitting of the total strain rate are used while eliminating the displacement from the formulation. It relies on that the elastic strain is small while only the inelastic and the total strains can be large. The energetics behind this model is derived and used for analysis as far as the existence of global weak energy-conserving solutions concerns. By this way, the model of Lyakhovsky et al. is completed to make it mechanically consistent and amenable for analysis.
    WorkplaceInstitute of Thermomechanics
    ContactMarie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
    Year of Publishing2022
    Electronic addresshttps://www.readcube.com/articles/10.1007%2Fs00161-021-01043-x
Number of the records: 1  

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