Abstract
According to the catastrophe model for impact buckling of static loading structures, a new catastrophe model for impact loading failure of a static loading rock system was established, and one dimension (1D) catastrophe model was analyzed. The analysis results indicate that the furcation collection where catastrophe may take place is not only decided by mechanical system itself but also relates to exterior loading, which is different from the results obtained under mono-static loading where the bifurcation collection is only determined by mechanics of the system itself and has nothing to do with exterior loading. In addition, the corresponding 1D coupled static-dynamic loading experiment is designed to verify the analysis results of catastrophe model. The test is done with Instron 1342 electroservo controlled testing system, in which medium strain rate is caused by monotony rising dynamic load. The parameters are obtained combining theoretical model with experiment. The experimental and theoretical curves of critical dynamic load vs static load are rather coincided, thus the new model is proved to be correct.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
LI Xi-bing, GU De-sheng. Rock impact dynamics [M]. Changsha: Central South University of Technology Press, 1994. (in Chinese)
Dyskin A V. On the role of stress fluctuations in brittle fracture[J]. Int J of fracture, 1999, 100: 29–53
LI Xi-bing, MA Chun-de. Experimental study of dynamic response and failure behavior of rock under coupled static-dynamic loading[C]// Aoki O. Proceedings of the ISRM International Symposium 3rd ARMS. Rotterdam: Mill Press, 2004: 891–895.
MA Chun-de. Experimental study on mechanics properties of rock under uni-axial coupled static-dynamic loading[D]. Changsha: School of Resources and Civil Engineering, Central South University, 2004. (in Chinese)
MA Chun-de, LI Xi-bing, CHEN Feng, et al. Test and study of mechanical properties of rock under uniaxial static-and-dynamical combination load[J]. Mining Research and Development, 2004, 24(4): 1–4. (In Chinese)
ZUO Yu-jun, LI Xi-bing, MA Chun-de, et al. Catastrophic model and testing study on failure of static loading rock system under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(5): 741–746. (in Chinese)
ZUO Yu-jun, LI Xi-bing, ZHAO Guo-yan. A catastrophe model for dynamic fracture of static loaded rock [J]. Journal of China Coal Society, 2004, 29(6): 654–658. (in Chinese)
ZUO Yu-jun, LI Xi-bing, ZHA Guo-yan. A catastrophe model for underground chamber rock burst under lamination spallation bucking[J]. Journal of Central South University: Science and technology, 2005, 36(2): 311–316. (in Chinese)
LI Xi-bing, ZUO Yu-jun, MA Chun-de. Failure criterion of strain energy density and catastrophe theory analysis of rock subjected of static-dynamic coupling loadings[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(16): 1–11. (in Chinese)
ZUO Yu-jun. Study on failure and fragmentation characteristics of rock under static-dynamic coupling loading[D]. Changsha: School of Resources and Civil Engineering, Central South University, 2005. (in Chinese)
ZUO Yu-jun, LI Xi-bing, ZHOU Zi-long. Determination of ejection velocity of rock fragments during rock burst in consideration of damage[J]. Journal of Central South University of Technology, 2005, 12 (5): 618–622
LI Xi-bing, ZUO Yu-jun, MA Chun-de. Constitutive model of rock subjected to static-dynamic coupling loadings under intermediate strain rate[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(5): 1–10. (in Chinese)
TANG Chun-an. Catastrophe in rock unstable failure [M]. Beijing: The Coal Industry Press, 1993. (in Chinese)
Simitses G J. Effect of static preloading on the dynamic stability of structures [J]. AIAA Journal, 1983, 21(8): 1174–1180.
Holasut S, Ruiz C. Effect of an impulsive disturbing load on the stability of a statically loaded structure [J]. Int J Impact Eng, 1985, 3(1): 57–73
Kounadis A N. Dynamic buckling of simple two-bar frames using catastrophe theory [J]. International Journal of Non-linear Mechanics, 2002, 37: 1249–1259.
WANG De-yu, YANG Gui-tong. A catastrophe model for the dynamic buckling of simple elastic structures [C] // Modern Mathematics and Mechanics (MMM-4). Lanzhou: Lanzhou University Press, 1991: 275–277. (in Chinese)
WANG De-yu, ZHANG Shan-yuan, YANG Gui-tong. A catastrophe model for the impact buckling of static preloading structures[J]. Explosion and Shock Waves, 1993, 13(3): 243–248. (in Chinese)
XU Zi-xin, LIU Yun-li. An approach for measuring the stiffness of a testing machine[J]. Journal of Experimental Mechanics, 1991, 6(2): 216–221. (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Project (50490272, 50490274, 10472134) supported by the Natural Science Foundation of China; project (2005038250) supported by the China Postdoctoral Foundation
Rights and permissions
About this article
Cite this article
Zuo, Yj., Li, Xb., Wang, Wh. et al. Catastrophe model and its experimental verification of static loading rock system under impact load. J Cent. South Univ. Technol. 13, 281–285 (2006). https://doi.org/10.1007/s11771-006-0124-3
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11771-006-0124-3