Stress-Strain State of the Elements of Building Structures in the Case of Fire

Abstract

We propose a mathematical model based on the finite-element method for the quantitative description of the processes of deformation of building structures and their elements under conditions of fire. The Lagrangian approach is used to determine the stress-strain state of a body under force and thermal loads. Numerous test problems are solved in order to approve the proposed approach. The convergence of numerical solutions of these problems is investigated. We also perform the comparative analysis of the numerical results obtained under various model assumptions, the experimental data, and the available analytic solutions of similar problems.