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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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