Modelling of hygro‐thermal behaviour and damage of concrete at temperature above the critical point of water

International Journal for Numerical and Analytical Methods in Geomechanics - Tập 26 Số 6 - Trang 537-562 - 2002
Dariusz Gawin1, Francesco Pesavento2, Bernhard A. Schrefler2
1Department of Building Physics and Building Materials, Technical University of Lódz, Al. Politechniki 6, 93‐590 Lódz, Poland
2Department of Structural and Transportation Engineering, University of Padua, via Marzolo 9, 35131 Padua, Italy

Tóm tắt

AbstractIn this paper, a model for the analysis of the behaviour of concrete at temperature largely exceeding critical point of water, is presented. In this temperature range liquid phase, i.e. capillary phase, and gas phase cannot be distinguished and only the latter exists. Consequently, capillary pressure has no more physical meaning above this point and liquid water is present only as physically adsorbed water. In this work, we give a different physical interpretation to the capillary pressure and use it still for the description of the hygrometric state of concrete in the zone, where temperature exceeds the critical point of water. Considerable thermal dilatation of the liquid water and the real behaviour of water vapour close to critical temperature are taken into account. Moreover, a special switching procedure in order to avoid the Stefan‐like problem, which subsequently arises, is described and employed in the calculations. Finally, several numerical examples demonstrating the robustness of the adopted solution have been shown. Copyright © 2002 John Wiley & Sons, Ltd.

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Tài liệu tham khảo

Bazant ZP, 1972, Nonlinear water diffusion in nonsaturated concrete, Matériaux et Constructions, 5, 3, 10.1007/BF02479073

Bazant ZP, 1978, Pore pressure and drying of concrete at high temperature, Journal of Engineering and Mechanics Divisions, 104, 1059, 10.1061/JMCEA3.0002404

10.1680/macr.1979.31.107.67

Bazant ZP, 1996, Concrete at High Temperature: Material Properties and Mathematical Models

10.1002/(SICI)1099-1484(199901)4:1<37::AID-CFM58>3.0.CO;2-S

10.1016/0029-5493(94)00937-T

GawinD PesaventoF SchreflerBA.Simulation of damage—permeability coupling in hygro‐thermo‐mechanical analysis of concrete at high temperature. Communications in Numerical Methods in Engineering2002 in press.

10.1108/02644409610151584

10.1002/nme.1620231003

10.1007/BF01385771

Nochetto RH, 1991, An adaptive finite element method for two‐phase Stefan problems in two space variables, Mathematics of Computation, 10, 78

10.1137/0912065

10.1016/0045-7825(95)00793-Z

10.1016/0045-7825(91)90122-M

10.1016/0017-9310(73)90202-0

10.1016/0017-9310(81)90062-4

10.1016/0309-1708(79)90025-3

10.1016/0309-1708(79)90035-6

10.1016/0309-1708(80)90016-0

Lewis RW, 1998, The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media

GawinD. Modelling of Coupled Hygro‐Thermal Phenomena in Building Materials and Building Components No. 853. Lódź Technical University Lódź 2000(in Polish).

KalifaP TsimbrovskaM Baroghel‐BounyV.High performance concrete at elevated temperatures—an extensive experimental investigation on thermal hygral and microstructure properties. Proceedings of the International Symposium on High‐Performance and Reactive Powder Concretes. Sherbrooke Canada 1998.

10.1016/S0301-9322(99)00021-X

10.1016/S0997-7538(01)01158-5

Van Wylen GJ, 1986, Fundamentals of Classical Thermodynamics

Moran MJ, 1993, Fundamentals of Engineering Thermodynamics, SI Version

Erdem‐Senatalar A, 2000, The relationship of the geometric factor in the Dubinin–Astakhov isotherm equation with the fractal dimension, Colloids and Surfaces A: Engineering and Physicochemical Engineering Aspects, 173, 51, 10.1016/S0927-7757(00)00494-5

Ruthven DM, 1984, Principles of Adsorption and Adsorption Processes

Baggio P, 1997, Some consideration on modelling heat and mass transfer in porous media, Transport in Porous Media, 1224, 1

MazarsJ.Application de la mécanique de l' endommagement au comportement non lineaire et la rupture du beton de structure. Thése de Doctorat d' Etat L.M.T. Universite de Paris France 1984.

Mazars J, 1986, Proceedings of the Tenth U.S. National Congress of Applied Mechanics

10.1061/(ASCE)0733-9399(1989)115:2(345)

10.1029/TR038i002p00222

BaryB. Etude de couplage hydraulique‐mécanique dans le beton endommagé. Publication No. 11. Laboratoire de Mécanique et Technologie: C.N.R.S. de Cachan Université de Paris 6 Cachan.

ASHRAE, Handbook, Fundamentals 1993

10.1093/oso/9780195077018.001.0001

GawinD MajoranaCE PesaventoF SchreflerBA.A fully coupled multiphase F.E. model of hygro‐thermo‐mechanical behaviour of concrete at high temperature. Proceedings of the IV World Congress on Computational Mechanics Buenos Aires 1998.

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International Journal for Numerical and Analytical Methods in Geomechanics

Tập 26 Số 6

537-562

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