›› 2009, Vol. 30 ›› Issue (S1): 47-52.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Theoretical model research on relationship between ultrasonic and stress of rock based on fractals and damage theory

LIU Yang 1,2, ZHAO Ming-jie1   

  1. 1. Key Laboratory of Hydraulic and Water Transport Engineering of Ministry of Education, Chongqing Jiaotong University, Chongqing 400074, China； 2. Chongqing Rock Foundation Research Center，Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Chongqing 400014, China
  • Received:2009-06-20 Online:2009-08-10 Published:2011-03-16

PDF (Chinese)

2232

Abstract:

The mechanical model of single microcrack under uniaxial compression loading is established; then maximum circumferential stress theory ( criterion ) is adopted among macroscopic multiple fracture theories to calculate the stability size of single microcrack. According to the fractal damage theory, fractal dimension is calculated in different loading stages; the amount of microcracks is derived based on the definition of fractal dimension; combining the form and size of single microcrack, the relationship between rock porosity and loading value in different loading stages is obtained; according to the formula about p-wave velocity and porosity which has been adopted extensively now, the theoretical formula about p-wave velocity and stress of rock under uniaxial compression loading is obtained. Test on the relationship between ultrasonic and stress of rock is made; then the curve of ultrasonic and stress is drawn. Compared with theoretical curve of ultrasonic and stress, the result shows that this theoretical model is suitable to describe the latter half part relationship between ultrasonic and stress in the whole loading process of rock.

Key words: rock, ultrasonic, stress, damage, fracture, fractal

CLC Number: 

  • TU 459
[1] SONG Wen-cheng, LIANG Zheng-zhao, . Investigation on failure characteristics and water inrush risk of inclined floor mining above confined aquifer [J]. Rock and Soil Mechanics, 2020, 41(2): 624-634.
[2] TU Yuan, WANG Kui-hua, ZHOU Jian, HU An-feng, . Application of effective stress method and effective consolidation stress method for strength calculation in preloading ground [J]. Rock and Soil Mechanics, 2020, 41(2): 645-654.
[3] HUANG Yu-hua, XU Lin-rong, ZHOU Jun-jie, CAI Yu, . Calculation of pile-soil stress in pile-net composite foundation based on improved Terzarghi method [J]. Rock and Soil Mechanics, 2020, 41(2): 667-675.
[4] LI Jian, CHEN Shan-xiong, YU Fei, JIANG Ling-fa, DAI Zhang-jun. Discussion on mechanism of reinforcing high and steep slope with prestressed anchor cable [J]. Rock and Soil Mechanics, 2020, 41(2): 707-713.
[5] CHEN Wei-zhong, LI Fan-fan, LEI Jiang, YU Hong-dan, MA Yong-shang, . Study on creep characteristics of claystone under thermo-hydro-mechanical coupling [J]. Rock and Soil Mechanics, 2020, 41(2): 379-388.
[6] JIN Qing, WANG Yi-lin, CUI Xin-zhuang, WANG Cheng-jun, ZHANG Ke, LIU Zheng-yin, . Deformation behaviour of geobelt in weathered rock material-tire shred lightweight soil under pullout condition [J]. Rock and Soil Mechanics, 2020, 41(2): 408-418.
[7] ZHOU Cui-ying, KONG Ling-hua, CUI Guang-jun, YU Lei, LIU Zhen, . Molding simulation of soft rock based on natural red bed materials [J]. Rock and Soil Mechanics, 2020, 41(2): 419-427.
[8] FANG Jin-jin, FENG Yi-xin, WANG Li-ping, YU Yong-qiang, . Effective stress yielding behavior of unsaturated loess under true triaxial conditions [J]. Rock and Soil Mechanics, 2020, 41(2): 492-500.
[9] ZHANG Feng-rui, JIANG An-nan, YANG Xiu-rong, SHEN Fa-yi. Experimental and model research on shear creep of granite under freeze-thaw cycles [J]. Rock and Soil Mechanics, 2020, 41(2): 509-519.
[10] MA Wei-jia, CHEN Guo-xing, WU Qi, . Experimental study on liquefaction resistance of coral sand under complex loading conditions [J]. Rock and Soil Mechanics, 2020, 41(2): 535-542.
[11] ZHANG Shan-kai, LENG Xian-lun, SHENG Qian, . Study of water swelling and softening characteristics of expansive rock [J]. Rock and Soil Mechanics, 2020, 41(2): 561-570.
[12] LIANG Ke, CHEN Guo-xing, LIU Kang, WANG Yan-zhen, . Degradation properties and prediction model of maximum shear modulus of saturated coral sand under cyclic triaxial loading [J]. Rock and Soil Mechanics, 2020, 41(2): 601-611.
[13] WANG Pei-tao, HUANG Zheng-jun, REN Fen-hua, ZHANG Liang, CAI Mei-feng, . Research on direct shear behaviour and fracture patterns of 3D-printed complex jointed rock models [J]. Rock and Soil Mechanics, 2020, 41(1): 46-56.
[14] WANG feng, ZHANG Jian-qing, . Study of breakage behaviour of original rockfill materials considering size effect on particle strength [J]. Rock and Soil Mechanics, 2020, 41(1): 87-94.
[15] ZHANG Zhi-tao, WANG Hai-jun, TANG Lei, ZHAO Chu, LI Han-zhang, SU zheng-yang, . Study of fracture characteristics of semi-circular bending with internal crack based on 3D-ILC [J]. Rock and Soil Mechanics, 2020, 41(1): 111-122.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] LIU Xiao，TANG Hui-ming，LIU Yu. A new model for landslide displacement prediction based on set pair analysis and fuzzy-Markov chain[J]. , 2009, 30(11): 3399 -3405 .
[2] HU Da-wei, ZHOU Hui, XIE Shou-yi, ZHANG Kai, SHAO Jian-fu, FENG. Study of Biot’s coefficients of marble during plastic deformation phase[J]. , 2009, 30(12): 3727 -3732 .
[3] SHI Xu-chao，HAN Yang. Water absorption test of soft clay after rebound under unloading[J]. , 2010, 31(3): 732 -736 .
[4] WEI Gang，GUO Zhi-we，WEI Xin-jiang，CHEN Wei-jun. Analysis of coupled seepage and stress of shield tunnel launching accident in soft clay[J]. , 2010, 31(S1): 383 -387 .
[5] ZHU Jian-ming，PENG Xin-po，YAO Yang-ping，XU Jin-hai. Application of SMP failure criterion to computing limit strength of coal pillars[J]. , 2010, 31(9): 2987 -2990 .
[6] YUAN Xi-zhong, LI Ning , ZHAO Xiu-yun, YANG Yin-tao. Analysis of sensitivity of frozen ground bearing capacity to climate change in Northeast China permafrost regions[J]. , 2010, 31(10): 3265 -3272 .
[7] BAI Bing, LI Xiao-chun, SHI Lu, TANG Li-zhong. Slope identity of elastoplastic stress-strain curve and its verification and application[J]. , 2010, 31(12): 3789 -3792 .
[8] CAI Hui-teng, WEI Fu-quan, CAI Zong-wen. Study of silty clay dynamic characteristics in Chongqing downtown area[J]. , 2009, 30(S2): 224 -228 .
[9] SONG Ling　, LIU Feng-yin　, LI Ning　. On mechanism of rotary cone penetration test[J]. , 2011, 32(S1): 787 -0792 .
[10] JIN Jie-fang , LI Xi-bing , YIN Zhi-qiang , ZOU Yang. A method for defining rock damage variable by wave impedance under cyclic impact loadings[J]. , 2011, 32(5): 1385 -1393 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd