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The study of chamber rockburst by the CUSP model of catastrophe theory

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Abstract

By means of CUSP model of catastrophe theory, this paper has studied the physics process of rockburst occurred on circular chamber. The present paper has not only described the instability process of rockburst more deeply, but also got the critical depth of plastic softening area of chamber that is valuable in the controlling engineering of rockburst. The chamber displacement jump and energy liberation have been derived. The influence of rock parameters on the rockburst has been discussed.

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References

  1. Zhang Meng-tao, The mechanism and numerical simulation of rockburst,Rock Mechanics and Engineering Journal, 3 (1987). (in Chinese)

  2. Pan Yi-shan, et al., Destabilization patterns of underground chambers and its differentiation criterious,Proceedings of the Second National Conference on Rock Mechanics The Press of Wuhan University of Survey and Map** Science and Technology (1990). (in Chinese)

  3. Pan Yi-shan and Zhang Meng-tao, The study of coalburst by catastrophe theory,Journal of Fuxin Mining Institute, (1992). (in Chinese)

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Communicated by Zhu Zhao-xiang

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Yi-shan, P., Meng-tao, Z. & Guo-zheng, L. The study of chamber rockburst by the CUSP model of catastrophe theory. Appl Math Mech 15, 943–951 (1994). https://doi.org/10.1007/BF02451038

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  • DOI: https://doi.org/10.1007/BF02451038

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