岩石破裂过程分析用(RFPA~(2D))系统的细观单元本构关系及验证
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摘要
从岩石的细观非均匀性特点出发,应用弹性损伤力学,对岩石破裂过程分析数值(RFPA2D)模拟系统的本构关系进行了描述。用RFPA2D系统模拟了岩石试样在单轴或双轴载荷作用下的强度特征和破坏形态,通过与实验结果对比验证了该本构关系和数值模拟系统的合理性和有效性。-
Based on the heterogeneous characteristics of rock at mesoscopic level, the constitutive law of mesoscopic elements used in RFPA2D is described with elastic damage mechanics. The RFPA2D is used to simulate the strength and failure patterns of rock specimen subjected to uniaxial or biaxial loading. The numerical results are compared well with the corresponding experimental results, which proves that the constitutive law as well as the numerical system (RFPA2D) are reasonable and effective in simulating the failure of rock under various plane stress conditions.
Based on the heterogeneous characteristics of rock at mesoscopic level, the constitutive law of mesoscopic elements used in RFPA2D is described with elastic damage mechanics. The RFPA2D is used to simulate the strength and failure patterns of rock specimen subjected to uniaxial or biaxial loading. The numerical results are compared well with the corresponding experimental results, which proves that the constitutive law as well as the numerical system (RFPA2D) are reasonable and effective in simulating the failure of rock under various plane stress conditions.
引文
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4 Schangen E. Van Mier J G M. Experimental and numerical analysis of micromechanisms of fracture of cement-based composites [J] Cement and Concrete Composites. 1992, 14(1) : 105-118
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8 Tang C A. Numerical simulation on progressive failure leading to collapse and associated seismicity[J]. International Journal of Rock Mechanics and Mining Science, 1997． 34(2) : 249-261
9 唐春安.岩石声发射规律的数值模拟初探[J].岩石力学与工程学报,1997,16(4) :368～374
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12 芮勇勤,唐春安.岩石剪切破坏过程的RFPA2D数值模拟[J].岩石力学与工程学报,2002,21(3) :364～368
13 唐春安,刘红元.石门揭煤突出过程的数值模拟[J].岩石力学与工程学报,2002,21(10) :1467～1472
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15唐春安,傅宇方,赵 文.震源孕育模式的数值模拟研究[J].地震学报,1997,19(4) :337～346
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18 黄凯珠,林 鹏,唐春安等.双轴加载不断续预制裂纹贯通机制的研究[J].岩石力学与工程学报,2002,21(6) :808～816
19 黄明利,唐春安.非均匀因素对Ⅰ型裂纹扩展、相互作用影响的数值分析[J].岩石力学与工程学报,2002,21(8) :1111～1114
20 朱万成,唐春安.岩板中混合裂纹扩展过程的数值模拟.岩土工程学报,2000,22(2) :231～234
21 朱万成.混凝土断裂过程的细观数值模型及其应用[博士学位论文][D].沈阳:东北大学,2000
22 余天庆.损伤理论及其应用[M].北京:国防工业出版社,1993
23 Mazars J. Pijaudier C G. Continuum damage theory--application to concrete [J]. Journal of Engineering Mechanics (ASCE),1987, 115(2) : 345-365
24 Vonk R A. Rutten H S, Van Mier J G M. et al. Micromechanical simulation of concrete softening[A]. In: Proc. Int RILEM/ESIS Conference [C]. London: Elsevicr Science Publishers. 1993． 129-138
25 Kupfer H B. Gerstle K H. Behavior of concrete under biaxial stresses [J]. Journal of Engineering Mechanics Division (ASCE), 1973． 99(EM4) : 852-866
26 Brown E T. Fracture of rock under uniform biaxial compression [A]. In: Proc. 3rdCongress of International Society for Rock Mechanics [C]. Denver, CO, USA: Elsevier Science Publishers. 1976
27 Amadei B. Strength of a regularly jointed rock mass under biaxial and axisymmetric loading conditions [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts.1988, 25(1) : 3-13
2 Budiansky B. Micromechanics[J]. Computers and Structures. 1982, 16(1) : 3-12
3 Wittmann F H. Structure of concrete with respect to crack formation[A]. In: Wittmann F H ed. Fracture Mechanics of Concretc[C]. New York: Elsevier Science Publishers. 1989
4 Schangen E. Van Mier J G M. Experimental and numerical analysis of micromechanisms of fracture of cement-based composites [J] Cement and Concrete Composites. 1992, 14(1) : 105-118
5 Bazant Z P, Tabbara M R, Kazemi M T, et al. Random particle model for fracture of aggregate or fiber composites[J]. Journal of Engineering Mechanics (ASCE). 1990, 116(8) : 1686-1705
6 Baiant Z P, Oh B H. Crack band model for concrete[J]. Materials and Structures, 1983． 16(2) : 155-177
7 唐春安,赵 文.岩石破裂全过程分析软件系统RFPA2D[J].岩石力学与工程学报,1997,16(5) :507～508
8 Tang C A. Numerical simulation on progressive failure leading to collapse and associated seismicity[J]. International Journal of Rock Mechanics and Mining Science, 1997． 34(2) : 249-261
9 唐春安.岩石声发射规律的数值模拟初探[J].岩石力学与工程学报,1997,16(4) :368～374
10 黄明利,唐春安,朱万成.岩石破裂过程的数值模拟和研究[J].岩石力学与工程学报,2000,19(4) :468～471
11 刘红元,唐春安,芮勇勤.多煤层开采时岩层垮落过程的数值模拟[J].岩石力学与工程学报,2001． 20(2) :190～196
12 芮勇勤,唐春安.岩石剪切破坏过程的RFPA2D数值模拟[J].岩石力学与工程学报,2002,21(3) :364～368
13 唐春安,刘红元.石门揭煤突出过程的数值模拟[J].岩石力学与工程学报,2002,21(10) :1467～1472
14 杨天鸿,梁正召,刘红元等.地铁开挖引起地表沉陷过程的数值模拟[J].岩石力学与工程学报,2002,21(11) :1620～1628
15唐春安,傅宇方,赵 文.震源孕育模式的数值模拟研究[J].地震学报,1997,19(4) :337～346
16唐春安,傅宇方,朱万成.界面性质对颗料增强复合材料破坏模式影响的数值模拟分析[J].复合材料学报,1999,16(4) :112～120
17 傅宇方,黄明利,任凤玉等.不同围压条件下孔壁周边裂纹演化的数值模拟分析[J].岩石力学与工程学报,2000,19(5) :577～583
18 黄凯珠,林 鹏,唐春安等.双轴加载不断续预制裂纹贯通机制的研究[J].岩石力学与工程学报,2002,21(6) :808～816
19 黄明利,唐春安.非均匀因素对Ⅰ型裂纹扩展、相互作用影响的数值分析[J].岩石力学与工程学报,2002,21(8) :1111～1114
20 朱万成,唐春安.岩板中混合裂纹扩展过程的数值模拟.岩土工程学报,2000,22(2) :231～234
21 朱万成.混凝土断裂过程的细观数值模型及其应用[博士学位论文][D].沈阳:东北大学,2000
22 余天庆.损伤理论及其应用[M].北京:国防工业出版社,1993
23 Mazars J. Pijaudier C G. Continuum damage theory--application to concrete [J]. Journal of Engineering Mechanics (ASCE),1987, 115(2) : 345-365
24 Vonk R A. Rutten H S, Van Mier J G M. et al. Micromechanical simulation of concrete softening[A]. In: Proc. Int RILEM/ESIS Conference [C]. London: Elsevicr Science Publishers. 1993． 129-138
25 Kupfer H B. Gerstle K H. Behavior of concrete under biaxial stresses [J]. Journal of Engineering Mechanics Division (ASCE), 1973． 99(EM4) : 852-866
26 Brown E T. Fracture of rock under uniform biaxial compression [A]. In: Proc. 3rdCongress of International Society for Rock Mechanics [C]. Denver, CO, USA: Elsevier Science Publishers. 1976
27 Amadei B. Strength of a regularly jointed rock mass under biaxial and axisymmetric loading conditions [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts.1988, 25(1) : 3-13
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