Global weak solutions for coupled transport processes in concrete walls at high temperatures

Preprint English OPEN
Beneš, Michal; Štefan, Radek;
(2012)
  • Subject: Mathematical Physics | Mathematics - Analysis of PDEs

We consider an initial-boundary value problem for a fully nonlinear coupled parabolic system with nonlinear boundary conditions modelling hygro-thermal behavior of concrete at high temperatures. We prove a global existence of a weak solution to this system on an arbitra... View more
  • References (32)
    32 references, page 1 of 4

    [1] A. Adams and J.F. Fournier, Sobolev spaces, Pure and Applied Mathematics 140 (Academic Press, 1992).

    [2] A. Alnajim, Modelisation et simulation du comportement du beton sous hautes temperatures par une approche thermo-hygro-mechanique couplee. Application a des situations accidentelles (Dissertation, Universite de Merne la Vallee, 2004).

    [3] H.W. Alt, S. Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z. 183, 311-341 (1983).

    [4] Z.P. Baˇzant, Analysis of Pore Pressure, Thermal Stress and Fracture in Rapidly Heated Concrete, International Workshop on Fire Performance of High-Strength Concrete, 155-164 (1997).

    [5] Z.P. Baˇzant and W. Thonguthai, Pore pressure and drying of concrete at high temperature, Proc. ASCE J. Eng. Mech. Div. 104, 1058-1080 (1978).

    [6] Z.P. Baˇzant, J.C. Chern and W. Thonguthai, Finite element program for moisture and heat transfer in heated concrete, Nucl. Engrg. and Design 68, 61-70 (1980).

    [7] Z.P. Baˇzant and M.F. Kaplan, Concrete at high temperatures, Material Properties and Mathematical Models (Longman, Burnt Mill, England, 1996).

    [8] M. Beneˇs and P. Mayer, Coupled Model of Hygro-Thermal Behaviour of Concrete During Fire, J. Comp. Appl. Math. 218, 12-20 (2008).

    [9] M. Beneˇs, R. Sˇtefan and J. Zeman, Analysis of coupled transport phenomena in concrete at elevated temperatures, Appl. Math. Comput., doi:10.1016/j.amc.2011.02.064 (2011).

    [10] M. Beneˇs and J. Zeman, Some Properties of Strong Solutions to Nonlinear Heat and Moisture Transport in Multi-layer Porous Structures, Nonlin. Anal. RWA, doi: 10.1016/j.nonrwa.2011.11.015 (2011).

  • Metrics
Share - Bookmark