Catastrophe Theory Analysis of Rock Mass Dynamic Destabilization

Abstract:

In step with body Ⅱ, analytic solution and illustration of elastic energy releasing amount of rock mass dynamic destabilization are given for the first time in the form of precise and approximate catastrophe model. It is upgraded from qualitative understand to quantitative description that study on rock stability at the stage before and after earthquake and rockburst. The halting point’s position of rock mass dynamic destabilization is ascertained strictly, and it offers scientific basis for the calculation on earthquake efficiency, the study on earthquake energy magnitude released, earthquake stress drop, fault offset after earthquake and amount of elastic strain recovery of surrounding rock. The system possesses the capability of applying work to surroundings when it destabilizes, and earthquake wave energy is the work that destabilizing rock system applies to surroundings by way of destructive. The given illustration of elastic energy releasing amount implicates wealth of information, it produces credible evidence for confirming that the mathematical abstract of rock dynamic destabilization is fold catastrophe model.

• Periodical: Applied Mechanics and Materials (Volumes 166-169)
• Pages: 2774-2781
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.166-169.2774
• Online since: May 2012
• Authors: Yong Zhang, Da Jian Hu, Lu Xue
• Keywords: Analytic Solution, Energy Releasing Amount, Fold Catastrophe Model, Halting Point of Destabilization, Rock Dynamic Destabilization

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