Global weak solutions for coupled transport processes in concrete walls at high temperatures
Abstract
We consider an initialboundary value problem for a fully nonlinear coupled parabolic system with nonlinear boundary conditions modelling hygrothermal behavior of concrete at high temperatures. We prove a global existence of a weak solution to this system on an arbitrary time interval. The main result is proved by an approximation procedure. This consists in proving the existence of solutions to mollified problems using the LeraySchauder 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 on the shortterm pore pressure build up, which can lead to explosive spalling of concrete and catastrophic failures of concrete structures.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 April 2013
 DOI:
 10.1002/zamm.201200018
 arXiv:
 arXiv:1202.0998
 Bibcode:
 2013ZaMM...93..233B
 Keywords:

 Mathematical Physics;
 Mathematics  Analysis of PDEs
 EPrint:
 18 pages