Global weak solutions for coupled transport processes in concrete walls at high temperatures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00194818" target="_blank" >RIV/68407700:21110/13:00194818 - isvavai.cz</a>
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200018/abstract" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200018/abstract</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.201200018" target="_blank" >10.1002/zamm.201200018</a>
Alternative languages
Result language
angličtina
Original language name
Global weak solutions for coupled transport processes in concrete walls at high temperatures
Original language description
We consider an initial-boundary value problem for a fully nonlinear coupled parabolic system with nonlinear boundary conditions modeling hygro-thermal behavior of concrete at high temperatures. We prove a global existence of a weak solution to this system on any physically relevant time interval. The main result is proved by an approximation procedure. This consists in proving the existence of solutions to mollified problems using the Leray-Schauder theorem, for which a priori estimates are obtained. The limit then provides a weak solution for the original problem. A practical example illustrates a performance of the model for a problem of a concrete segment exposed to transient heating according to three different fire scenarios. Here, the focus is onthe short-term pore pressure build up, which can lead to explosive spalling of concrete and catastrophic failures of concrete structures.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
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 Mechanik
ISSN
0044-2267
e-ISSN
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Volume of the periodical
93
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
19
Pages from-to
233-251
UT code for WoS article
000316964000005
EID of the result in the Scopus database
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