MATHEMATICAL MODELING OF THE BEHAVIOR OF THE PAN OF GLAZING IN CONDITIONS UNDER FIRE CONDITIONS

The article provides data on mathematical modeling of the behavior of a glass panel under the conditions of its one-sided heating according to the standard fire temperature regime. In the mathematical model of the glass panel under conditions of thermal influence, the process of heat transfer was reproduced based on the use of the non-stationary heat conduction equation. The stress-strain state of the glass panel was considered using the finite element method. The thermal effect was also combined with the mechanical stress due to the excess pressure that can occur in the room where the fire originates and develops. To study the propagation of cracks in glass, the strength criterion according to the Johnson-Holmquist model was applied. As a result of mathematical modeling, results that show the high efficiency and informativeness of the proposed approach were obtained. At the same time, data on the dynamics of the formation and propagation of cracks in the glass panel under conditions of heating according to the standard fire temperature regime were obtained. It is shown that the glass panel is destroyed due to the formation of a system of branched cracks, which is confirmed by empirical experience. As a result of conducting a numerical study of the behavior of the glass panel under heating conditions under the influence of the standard temperature regime of the fire, the onset of the limit state of loss of fire resistance based on integrity was obtained. It is shown that the fire resistance is lost if the glass panel is destroyed for 5 minutes under the influence of the standard fire temperature regime.