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Thermomechanics of damageable materials under diffusion: modelling and analysis

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317205" target="_blank" >RIV/00216208:11320/15:10317205 - isvavai.cz</a>

  • Alternative codes found

    RIV/61388998:_____/15:00451617

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00033-015-0566-2" target="_blank" >http://dx.doi.org/10.1007/s00033-015-0566-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00033-015-0566-2" target="_blank" >10.1007/s00033-015-0566-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Thermomechanics of damageable materials under diffusion: modelling and analysis

  • Original language description

    We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat generation/consumption/transfer is considered. Damage is modelled as rate-independent. The applications include metal-hydrogen systems with metal/hydride phase transformation, poroelastic rocks, structural and ferro/para-magnetic phase transformation, water and heat transport in concrete, and if diffusion is neglected, plasticity with damage and viscoelasticity, etc. For the ensuing system of partial differential equations and inclusions, we prove existence of solutions by a carefully devised semi-implicit approximation scheme ofthe fractional-step type.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP201%2F10%2F0357" target="_blank" >GAP201/10/0357: Modern mathematical and computational models for inelastic processes in solids</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Zeitschrift für Angewandte Mathematik und Physik

  • ISSN

    0044-2275

  • e-ISSN

  • Volume of the periodical

    66

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    38

  • Pages from-to

    3535-3572

  • UT code for WoS article

    000365746800032

  • EID of the result in the Scopus database

    2-s2.0-84948714775