Abstract
The paper presents an experimental study on critical sensitivity in rocks. Critical sensitivity means that the response of a system to external controlling variable may become significantly sensitive as the system approaches its catastrophic rupture point. It is found that the sensitivities measured by responses on three scales (sample scale, locally macroscopic scales and mesoscopic scale) display increase prior to catastrophic transition point. These experimental results do support the concept that critical sensitivity might be a common precursory feature of catastrophe. Furthermore, our previous theoretical model is extended to explore the fluctuations in critical sensitivity in the rock tests.
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References
Bowman, D.D., Ouillon, G., Sammis, C.G., Sornette, A., and Sornette, D. (1998), An observation test of the critical earthquake concept, J. Geophys. Res. 103, 359–372.
Jayatilaka, A.S., Fracture of Engineering Brittle Materials. (Applied Sciences Publishers Ltd., London, 1979).
Jaumé, S.C. and Sykes L.R. (1999), Evolving towards a critical point: A review of accelerating seismic moment/energy release prior to large and great earthquakes, Pure Appl. Geophys. 155, 279–305.
Ma, S.P., Xu, X.H., and Zhao, Y.H. (2004), The Geo-DSCM system and its application to the deformation measurement of rock materials, Int. J. Rock Mech. Mining Sci. 41, 411–412.
Peter, W.H., and Randson, W.F. (1981), Digital imaging techniques in Experimental stress analysis, Opt. Eng., 21, 427–431.
Rundle, J.B. (2000a), Precursory seismic activation and critical-point phenomena, Pure Appl. Geophys. 157, 2165–2182.
Rundle, J.B. and Klein, W. (2000b), Linear pattern dynamics in nonlinear threshold systems, Phys. Rev. E 61, 2418–2431.
Stein, R.S. (1999), The role of stress transfer in earthquake occurrence, Nature 402, 605–609.
Weibull, W. (1951), A statistical distribution function of wide applicability, J. Appl. Mech. ASME 18, 293–297.
Xia, M.F., Ke, F.J., and Bai, Y.L. (2000), Evolution induced catastrophe in a nonlinear dynamical model of materials failure, Nonlinear Dynamics 22, 205–224.
Xia, M.F., Wei, Y.J., Ke F.J., and Bai, Y.L. (2002), Critical sensitivity and transscale fluctuations in catastrophe rupture, Pure Appl. Geophys. 159, 2491–2509.
Xu, X.H., Ma, S.P., Xia, M.F., Ke, F.J., and Bai, Y.L. (2004), Damage evaluation and damage localization of rock, Theor. Appl. Fract. Mech. 42, 131–138.
Yin, X.C., Wang, Y.C., Peng, K.Y., Bai, Y.L., Wang, H.T., and Yin, X.F. (2000), Development of a new approach to earthquake prediction: Load/Unload Response Ratio (LURR) Theory, Pure Appl. Geophys. 157, 2365–2383.
Zhang, X.H., Xu, X.H., Xia, M.F., and Bai, Y.L. (2004), Critical sensitivity in driven nonlinear threshold systems, Pure Appl. Geophys. 161, 1931–1944.
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© 2006 Birkhäauser Verlag
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Xu, X., Xia, M., Ke, F., Bai, Y. (2006). Experimental Evidence of Critical Sensitivity in Catastrophe. In: Yin, Xc., Mora, P., Donnellan, A., Matsu’ura, M. (eds) Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7992-6_3
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DOI: https://doi.org/10.1007/978-3-7643-7992-6_3
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Publisher Name: Birkhäuser Basel
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