TECHNICAL NOTES
Oct 1, 2008

Probabilistic Uncertainty Modeling for Thermomechanical Analysis of Plasterboard Submitted to Fire Load

Publication: Journal of Structural Engineering
Volume 134, Issue 10

Abstract

The paper deals with the probabilistic modeling of the thermomechanical behavior of cardboard–plaster–cardboard (CPC) multilayer plates submitted to fire load. The proposed model takes into account data and model uncertainties. This work is justified by the fact that fire resistance tests of plasterboard-lined partitions are made impossible when their dimensions exceed those of furnaces. A fundamental key to solve such a problem is the development and experimental validation of a deterministic and probabilistic model of CPC multilayers submitted to fire load. The first step of this work concerns the constitution of an experimental thermomechanical data base for a CPC multilayer and for its components. These experimental tests are carried out by the use of a bench test specially designed for this work. The second step is the development of a homogenization thermomechanical mean model for the CPC multilayer. The third step is the development of a probabilistic model of uncertainties based on the nonparametric probabilistic approach. Numerical results are compared with the experimental ones.

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Acknowledgments

This work was supported by the CSTB and the SNIP. The thermal load bench would not be achieved without the help and the effort of P. Fromy, E. Cesmat, D. Pardon, C. Lemerle, P. Rivillion, P. Pimienta, and C. Baloche. This help and support are gratefully acknowledged.

References

Axenenko, O., and Thorpe, G. (1996). “The modeling of dehydration and stress analysis of gypsum plasterboards exposed to fire.” Comput. Mater. Sci., 6(3), 281–294.
European Committee for Standardization (CEN). (1994). “Eurocode1: Actions sur les structures. Partie 2-2: Actions générales—Actions sur les structures exposées au feu.” ENV 1991-2-2, CEN, Brussels, Belgium.
Fromy, P., and Curtat, M. (1999). “Heat transfer in fire resistance furnaces piloted with thermocouples or plate thermometers.” Proc., 6th Int. Symp on Fire Safety Science, M. Curtat, ed., International Association of Fire Safety Science, London, 531–542.
Ghanem, G. R., and Spanos, P. D. (1991). Stochastic finite elements: A spectral approach, Springer, New York.
International Standards Organization (ISO). (1975). “Fire resistance tests—Elements of building construction.” ISO 834, ISO, Geneva.
Najar, J. (1987). “Continuum damage mechanics, theory, and applications.” Continuous damage of brittle solids, D. Krajcinovic and J. Lemaitre, eds., Springer, New York, 223–294.
Sakji, S. (2006). “Probabilistic modeling and experimental validation of heat transfer and thermomechanical analysis with damage of a cardboard–plaster–cardboard multilayer submitted to fire loads.” Univ. de Marne-la-Vallee, France (in French).
Sakji, S., Soize, C., and Heck, J.-V. (2006). “Thermomechanical model of a cardboard–plaster–cardboard composite plate submitted to fire load.” Proc., 17th ASCE Analysis and Computation Speciality Conf., May 18–21, St. Louis.
Soize, C. (2005). “Random matrix theory for modeling uncertainties in computational mechanics.” Comput. Methods Appl. Mech. Eng., 194(12-16), 1333–1366.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 134Issue 10October 2008
Pages: 1611 - 1618

History

Received: Apr 18, 2007
Accepted: Feb 19, 2008
Published online: Oct 1, 2008
Published in print: Oct 2008

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Notes

Note. Associate Editor: Venkatesh Kumar R. Kodur

Authors

Affiliations

Seddik Sakji
Assistant Professor, Laboratoire Modélisation et Simulation Multi Echelle, Univ. Paris-Est, MSME FRE3160 CNRS, 5 boulevard Descartes, 77454 Marne-la-Vallee, France.
Christian Soize [email protected]
Professor, Laboratoire Modélisation et Simulation Multi Echelle, Univ. Paris-Est, MSME FRE3160 CNRS, 5 boulevard Descartes, 77454 Marne-la-Vallee, France. E-mail: [email protected]
Jean-Vivien Heck
Research Engineer, Centre Scientifique et Technique du Batiment, 84, Avenue Jean-Jaures, 77447 Champs-sur-Marne, France.

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