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

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.