Study of Destabilization Mechanism of Concrete Component Based on Catastrophe Theory

Abstract:

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)/k_m>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.

• Periodical: Advanced Materials Research (Volume 413)
• Pages: 499-506
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.413.499
• Online since: December 2011
• Authors: Yan Fen Liao, Yan Xu, Xiao Qian Ma
• Keywords: Concrete Component, Cusp Catastrophic, Fire

References

[1] Jianlin Nan, Zhenhai Guo, Xudong Shi: Journal of Tsinghua University (Sci &Tech). Vol. 37 (1997), p.87 (In Chinese).

[2] Zhenhai Guo, Xudong Shi: High-temperature performance and calculation of reinforced concrete (Tsinghua University Press, China 2003). (In Chinese).

[3] Jiont Conmmittee of Institution of Structural Engineers and Endurance Society: Design and detailing of concrete structures for fire resistance (Institution of Structural Engineers, London 1978).

[4] J.A. Purkiss: Fire Safety Engineering , Designing of Structures (Butterworth - Heinenmann, Oxford 1996).

[5] Wanyang Gao, Zhoudao Lu, Kechun Zhang: Structural Engineers. Vol. 24 (2008), p.48 (In Chinese).

[6] V.K.R. Kodur, M. Dwaikat: Cement and Concrete Composites. Vol. 30 (2008), p.431.

[7] Xiaoguang Yang: The damage identifying and repair reinforcement of the reinforced concrete after fire (Tianjin University, China 2006). (In Chinese).

[8] P T Saunders: Introduction to Catastrophe Theory, translated by ShangHai Scientific and Technological Literature Publishing, China (1983).

[9] Yue Pan, Yunsong Qi: Rock and Soil Mechanics. Vol. 32 (2001), p.271 (In Chinese).

[10] Yue Pan: Chinese Journal of Geotechnical Engineering. Vol. 21 (1999), p.299 (In Chinese).