THERMODYNAMICS OF ELASTOPLASTIC POROUS ROCKS AT LARGE STRAINS TOWARDS EARTHQUAKE MODELING
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10385430" target="_blank" >RIV/00216208:11320/18:10385430 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/18:00498581
Result on the web
<a href="https://doi.org/10.1137/17M1137656" target="_blank" >https://doi.org/10.1137/17M1137656</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/17M1137656" target="_blank" >10.1137/17M1137656</a>
Alternative languages
Result language
angličtina
Original language name
THERMODYNAMICS OF ELASTOPLASTIC POROUS ROCKS AT LARGE STRAINS TOWARDS EARTHQUAKE MODELING
Original language description
A mathematical model for an elastoplastic porous continuum subject to large strains in combination with reversible damage (aging), evolving porosity, and water and heat transfer is advanced. The inelastic response is modeled within the frame of plasticity for nonsimple materials. Water and heat diffuse through the continuum by a generalized Fick-Darcy law in the context of viscous Cahn-Hilliard dynamics and by Fourier law, respectively. This coupling of phenomena is paramount to the description of lithospheric faults, which experience ruptures (tectonic earthquakes) originating seismic waves and flash heating. In this regard, we combine in a thermodynamic consistent way the assumptions of having a small Green-Lagrange elastic strain and nearly isochoric plastification with the very large displacements generated by fault shearing. The model is amenable to a rigorous mathematical analysis. The existence of suitably defined weak solutions and a convergence result for Galerkin approximations is proved.
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
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA16-03823S" target="_blank" >GA16-03823S: Homogenization and multi-scale computational modelling of flow and nonlinear interactions in porous smart structures</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Applied Mathematics
ISSN
0036-1399
e-ISSN
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Volume of the periodical
78
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
29
Pages from-to
2597-2625
UT code for WoS article
000448809300015
EID of the result in the Scopus database
2-s2.0-85055807197