X
| Citation: |
Shiyu Li, Taiming He, Chunkai Teng, Xuyao Zheng, Kuksenko Viktor (2011). Theoretical and experimental study of 3-D initial fracture and its significance to faulting. Earthq Sci 24(3): 283-298. DOI: 10.1007/s11589-011-0791-5
|
The experimental results of 3-D fracture under compression are introduced in brief and the theory of stress criterion of 3-D fracture is studied. Methods to imitate initial fractures are developed. It is pointed that there are important defects in the extreme value (EV) method ever proposed by Palaniswamy and Knauss. The major defect lies in that only two Euler angles (2EA) are considered, but another one is neglected. If the variation of all the three Euler angles (3EA) are considered, one can get better result which is consistent with the observation of faulting that extends on curved surfaces but not on planes. The method of evaluating maximal normal stress direction vector (NSDV) is proposed and further proved to be equivalent to the 3EA method. It is proved that the NSDV method can be further optimized to the method of composition of the first principal differential plane (CFPDP). The results from CFPDP method can fit the curved surfaces of initial growth observed in the experiments of 3-D fracture. The CFPDP method can also be used to interpret the 3-D fractures of the slipping section between the asperities in the buried fault plane that is modeled as ellipse crack. The results of 3-D fracture can be applied to interpreting the related problems of faulting including the mechanism of a lot of shatter rocks with different dimensions, the cause of earthquakes occurred at the edge of plate under low shear stress, and the mechanism of anisotropy caused by the extensive dilatancy anisotropy (EDA) cracks.
|
Atkinson B K (1987). Fracture Mechanics of Rock. Academic Press Limited, London, 557pp.
|
|
China Academy of Aeronautics (1981). Handbook of Stress Intensity Factors. Science Press, Beijing, 384-388 (in Chinese)
|
|
China Academy of Aeronautics (1993). Handbook of Stress Intensity Factors (Suppl). Science Press, Beijing, 651-654, 728-731 (in Chinese).
|
|
Cox S J D and Scholz C H (1988). On the formation and growth of faults: An experimental study. Journal of Structure Geology 10: 413-30. doi: 10.1016/0191-8141(88)90019-3
|
|
Ding Z F, Wang C Y, Zhou M D, Winston Chan, You H C, He C S, Wu J P and Chang Z G (2004). Shallow seismic exploration on the rupture of the MS8. 1 Kunlun earthquake. In: Chen Y T, Kan R J, Wang C Y eds. Advances in Continental Seismology and Physics of Earth's Interior in China: In Honor of Academician Zeng Rongsheng's 80th Birthday. Seismological Press, Beijing, 122-127 (in Chinese).
|
|
Erdogan F and Sih G C (1963). On the crack extension in plates under plane loading and transverse shear. J Basic Engng 85: 519-527. doi: 10.1115/1.3656897
|
|
Fan L S, Jia J, Wu J S, Zhao Y G and You J W (2009). Overview on drilling operation of the (WFSD-1) in Wenchuan fault scientific drilling project. Exploration Engineering 36(12): 5-8 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-TKGC200912002.htm
|
|
Gezuofusiki (1975). Foundamentals of T ectonophysics. Science Press, Moscow, 535pp (in Russian).
|
|
Knauss W G (1970). An observation of crack propagation in anti-plane shear. Int J Frac 6: 183-187. doi: 10.1007%2FBF00189825
|
|
Lawn B R and Wilshaw B R (1975). Fracture of Brittle Solids. Cambridge Press, Cambridge, 204pp.
|
|
Li S Y (1990). Normal stress criterion of a three-dimensional brittle fracture. Chinese J Geophys 33(3): 353-363 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DQWX199005007.htm
|
|
Li S Y (1991). Spontaneous Propagation of In-plane Shear Fault. [Ph. D. Dissertation]. Institute of Geophysics, State Seismological Bureau, 148pp (in Chinese with English abstract).
|
|
Li S Y, Teng C K, Liu X H and He X S (2000). Experimental investigation in rock rupture with the co-operation between Chinese and Russian seismologists. Recent Developments in World Seismology (3): 1-3 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-GJZT200003000.htm
|
|
Li S Y, He T M and Yin X C (2009). Introduction to Rock Fracture Mechanics. University of Science and Technology Press, Hefei, 468pp (in Chinese).
|
|
Palaniswamy K and Knauss W G (1978). On the problem of crack extension in brittle solids under general loading. In: Nemat-Nasser ed. Mechanics Today. Pergamon Press Inc., New York, 4: 87-148. http://www.sciencedirect.com/science/article/pii/B9780080217925500100
|
|
Qian W C and Ye K Y (1956). Elastic Mechanics. Science Press, Beijing, 422pp (in Chinese).
|
|
Roesler F C (1956). Brittle fracture near equilibrium. Proc Phys Soc B69: 981-992. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0213223425/
|
|
Ruff L J (2002). State of stress within the Earth. In: William H K Lee, Hiroo Kanamori and Paul C Jenning eds. International Handbook of Earthquake and Engineering Seismology. 81A. Academic Press for International Association of Seismology and Physics of the Earth's Interior, Amsterdam, 539pp.
|
|
Scholz C H (1990). The Mechanics of Earthquakes and Faulting. Cambridge University Press, London, 439pp.
|
|
Sommer E (1969). Formation of fracture lances in glass. Engineering Fracture Mechanics 1: 539-546. doi: 10.1016/0013-7944(69)90010-1
|
|
Teng C K, Yin X C, Li S Y and Cai D E (1987). Experimental study of three dimensional fracture in plane specimens with non-penetrating crack. Acta Geo physica Sinica 30(4): 371-378 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTotal-DQWX198704004.htm
|
|
Tian J, Zhu Z J, Zhu Z D, Yao Y X and Wang Y (2009). Discussion of seismic velocity anomalies of Longmenshan fault zone after Wenchuan 8.0 earthquake. Plateau Earthquake Research 4: 21-24 (in Chinese with English abstract).
|
|
Timoshenko S P and Goodier J N (1970). Theory of Elasticity. 3rd edition. McGraw-Hill Co., New York, 567pp.
|
|
Tseng J S and Shi J S (1978). Source Multiplicity of the main shock of the Yongshan-Daguan Yunnan earthquake of May 10, 1974. Chinese J Geophys 21: 160-173 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTotal-DQWX197802004.htm
|
|
Wu H W (1991). Fatigue fracture under the cumulate damageone of the basic mechanisms for structural deformation of the crust. Scientia Geologica Sinica 2: 101-110 (in Chinese with English abstract). http://www.en.cnki.com.cn/Article_en/CJFDTOTAL-DZKX199102000.htm
|
|
Xie H (1993). Fractals in Rock Mechanics. A A Balkema Publishers, Rotterdam, 369pp (in Chinese).
|
|
Yin X C, Li S Y, Li H and Wang M (1988). Experimental study of interactions between two flanks of a closed crack. Acta Geophysica Sinica 31(3): 306-314 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DQWX198803006.htm
|
|
Yin X C, Li S Y, Teng C K, Li H and Li J (1989). An experimental investigation on the extension of non-penetrating cracks in rocks and other brittle solids. Earthquake Research in China 3(1): 1-11 (in Chinese with English abstract).
|
|
Yin X C, Li S Y, Li H, Teng C K and Li J (1991). An experimental investigation on extension of non-penetrating cracks in rocks and other brittle solids. The 17th International Conference of Theoretical and Applied Mechanics 1988, Grenoble France. Peking University Press, Beijing, 156-166 (in Chinese).
|
|
Zhang Q, Pan K, Zhan H Y and Wang S H (2001). The study on the characteristics of spatial distribution for the Xiuyan-Haicheng earthquake sequence (MS=5.4). Seismological and Geomagnetic Observation and Research 22(2): 83-91 (in Chinese with English abstract). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dzdcgcyyj200102016
|
Figures(18) / Tables(1)
震球期刊
EQS
Supported by: Beijing Renhe Information Technology Co., Ltd. 
DownLoad: