Study of Destabilization Mechanism of Concrete Component Based on Catastrophe Theory
A simplified mechanical model in view of concrete component stability problem on fire was established. Assuming the temperature of fire and load as control variables, and material strain (or intensity) as state variables, destabilization mechanism of concrete component under high temperatures was carried out with the application of cusp catastrophic model. And the nonlinear mutation characteristics and failure mechanism of concrete component on fire were investigated. The results indicate that system's catastrophe characteristic is determined by fire duration, temperature, load capacity and load characteristics. When K=-F'(u)/km>1, component destructs in the form of ductility failure, and when K<1, component destructs in the form of brittle failure. As the temperature rises, the caper value increases if the spring stiffness is defined.