(1. Center for Rock Instability and Seismicity Research，Northeastern University，Shenyang，Liaoning 110819，China；2. State Key Laboratory for Geomechanics and Deep Underground Engineering，China University of Mining and Technology，Xuzhou，Jiangsu 221008，China；3. School of Civil and Hydraulic Engineering，Dalian University of Technology，Dalian，Liaoning 116024，China)
Abstract：The heterogeneity of rock contributed by the geometry and properties of mineral constituent should be taken into account in the study of rock thermal cracking，which aids to understand the thermal cracking mechanism more objectively. This paper presents a coupled thermal-mechanical numerical model for rock failure based on meso-structure characterization. The model，based on thermoelastic theory and microscopic damage mechanics，employs digital image processing technologies to identify mineral grains and characterize their geometries in order to consider the effect of real meso-structure of rock. Taking granite for example，mechanical behaviors and fracturing process of granite under combined thermal and compressive loading condition are investigated. The results show that the temperature has a great influence on rock properties and damage evolution. The initiations of the cracks induced by thermal stress locate at the boundaries between minerals；and then the cracks propagate along the boundaries. Local cracks may be closed to form a polygon. The simulated results are in agreement with the experimental results，which validates the model. It provides a new tool to study the mechanism of rock thermal fracturing at meso-scale level.
于庆磊1，2，郑 超1，杨天鸿1，唐世斌3，王培涛1，唐春安3. 基于细观结构表征的岩石破裂热–力耦合模型及应用[J]. 岩石力学与工程学报, 2012, 31(1): 42-51.
YU Qinglei1，2，ZHENG Chao1，YANG Tianhong1，TANG Shibin3，WANG Peitao1，TANG Chun?an3. MESO-STRUCTURE CHARACTERIZATION BASED ON COUPLED THERMAL-MECHANICAL MODEL FOR ROCK FAILURE PROCESS AND APPLICATIONS. , 2012, 31(1): 42-51.
[1] 陈 颙，吴晓东，张福勤. 岩石热开裂的实验研究[J]. 科学通报，1999，44(8)：880–883.(CHEN Yong，WU Xiaodong，ZHANG Fuqin. Experimental study of thermal-induced rock cracking[J]. Chinese Science Bulletin，1999，44(8)：880–883.(in Chinese))
[2] 韩学辉，楚泽涵，张元中. 岩石热开裂及其在工程学上的意义[J]. 石油实验地质，2005，27(1)：98–100.(HAN Xuehui，CHU Zehan，ZHANG Yuanzhong. Thermal-induced rock cracking and its significance in engineering[J]. Petroleum Geology and Experiment，2005，27(1)：98–100.(in Chinese))
[3] 刘泉声，许锡昌. 温度作用下脆性岩石的损伤分析[J]. 岩石力学与工程学报，2000，19(4)：408–411.(LIU Quansheng，XU Xichang. Damage analysis of brittle rock at high temperature[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(4)：408–411.(in Chinese))
[4] 许锡昌. 花岗岩热损伤特性研究[J]. 岩土力学，2003，24(增)：188–191.(XU Xichang. Study on characteristic of thermal damage for granite[J]. Rock and Soil Mechanics，2003，24(Supp.)：188–191.(in Chinese))
[5] 陈剑文，杨春和，高小平，等. 盐岩温度与应力耦合损伤研究[J]. 岩石力学与工程学报，2005，24(11)：1 986–1 991.(CHEN Jianwen，YANG Chunhe，GAO Xiaoping，et al. Study on the coupled damage of temperature and mechanics for salt rock[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(11)：1 986–1 991.(in Chinese))
[6] 谢卫红，高 峰，李顺才，等. 石灰岩热损伤破坏机制研究[J]. 岩土力学，2007，28(5)：1 021–1 025.(XIE Weihong，GAO Feng，LI Shuncai，et al. Study on mechanism of thermal damage fracture for limestone[J]. Rock and Soil Mechanics，2007，28(5)：1 021–1 025. (in Chinese))
[7] 张 渊，张 贤，赵阳升. 砂岩的热破裂过程[J]. 地球物理学报，2005，48(3)：656–659.(ZHANG Yuan，ZHANG Xian，ZHAO Yangsheng. Process of sandstone thermal cracking[J]. Chinese Journal of Geophysics，2005，48(3)：656–659.(in Chinese))
[8] 左建平，谢和平，周宏伟，等. 不同温度作用下砂岩热开裂的实验研究[J]. 地球物理学报，2007，50(4)：1 150–1 155.(ZUO Jianping，XIE Heping，ZHOU Hongwei，et al. Experimental research on thermal cracking of sandstone under different temperatures[J]. Chinese Journal of Geophysics，2007，50(4)：1 150–1 155.(in Chinese))
[9] 谢卫红，高 峰，谢和平. 细观尺度下岩石热变形破坏的实验研究[J]. 实验力学，2005，20(4)：628–634.(XIE Weihong，GAO Feng，XIE Heping. An experimental study on rock thermal damage fracture under meso-size[J]. Journal of Experimental Mechanics，2005，20(4)：628–634.(in Chinese))
[10] 赵阳升，孟巧荣，康天合，等. 显微CT 试验技术与花岗岩热破裂特征的细观研究[J]. 岩石力学与工程学报，2008，27(1)：28–34.(ZHAO Yangsheng，MENG Qiaorong，KANG Tianhe，et al. Micro-CT experimental technology and meso-investigation on thermal fracturing characteristics of granite[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(1)：28–34.(in Chinese))
[11] 赵阳升，万志军，张 渊，等. 岩石热破裂与渗透性相关规律的试验研究[J]. 岩石力学与工程学报，2010，29(10)：1 970–1 976. (ZHAO Yangsheng，WAN Zhijun，ZHANG Yuan，et al. Experimental study of related laws of rock thermal cracking and permeability[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(10)：1 970–1 976.(in Chinese))
[12] 康志勤，赵阳升，杨 栋. 油页岩热破裂规律分形理论研究[J]. 岩石力学与工程学报，2010，29(1)：90–96.(KANG Zhiqin，ZHAO Yangsheng，YANG Dong. Theoretical research on thermal cracking fractals laws of oil shale[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(1)：90–96.(in Chinese))
[13] 唐世斌，唐春安，朱万成，等. 热应力作用下的岩石破裂过程分析[J]. 岩石力学与工程学报，2006，25(10)：2 071–2 078.(TANG Shibin，TANG Chun?an，ZHU Wancheng，et al. Numerical investigating of rock failure process induced by thermal stress[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(10)：2 071–2 078.(in Chinese))
[14] 康 健，赵明鹏，赵阳升，等. 随机介质固热耦合模型与高温岩体地热开发人工储留层二次破裂数值模拟[J]. 岩石力学与工程学报，2005，24(6)：969–974.(KANG Jian，ZHAO Mingpeng，ZHAO Yangsheng，et al. Random non-homogeneous solid-heat coupled model and numerical simulations of second fracturing for man-made-reserve stratum in HDR[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(6)：969–974.(in Chinese))
[15] 康 健，赵明鹏，梁 冰. 随机固–热耦合模型与岩石热破裂数值试验研究[J]. 岩土力学，2005，26(1)：135–139.(KANG Jian，ZHAO Mingpeng，LIANG Bing. Random solid-head coupled model and numerical tests on hot cracking of rocks[J]. Rock and Soil Mechanics，2005，26(1)：135–139.(in Chinese))
[16] 林开颜，吴军辉，徐立鸿. 彩色图像分割方法综述[J]. 中国图像图形学报，2005，10(1)：1–10.(LIN Kaiyan，WU Junhui，XU Lihong. A survey on color image segmentation techniques[J]. Journal of Image and Graphics，2005，10(1)：1–10.(in Chinese))
[17] TAKEUTI Y，FURUKAWA T. Some considerations on thermal shock problems in a plane[J]. Journal of Applied Mechanics，1981，48(3)：113–118.
[18] 李松山. 二维耦合热弹性力学动力问题研究[硕士学位论文][D]. 天津：天津大学，1987.(LI Songshan. Study of dynamical problem in thermoelasticity theory under 2D coupling condition[M. S. Thesis][D]. Tianjin：Tianjin University，1987.(in Chinese))
[19] HANS-DIETER V，RÜDIGER S. Influence of temperature on thermal conductivity，thermal capacity and thermal diffusivity for different types of rock[J]. Physics and Chemistry of the Earth，2003，28(4)：499–509.
[20] 朱万成，唐春安，杨天鸿，等. 岩石破裂过程分析(RFPA2D)系统的细观单元本构关系及验证[J]. 岩石力学与工程学报，2003，22(1)：24–29.(ZHU Wancheng，TANG Chun?an，YANG Tianhong，et al. Constitutive relationship of mesoscopic elements used in RFPA2D and its validations[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(1)：24–29.(in Chinese))
[21] 唐春安，王述红，傅宇方. 岩石破裂过程数值试验[M]. 北京：科学出版社，2003：41–47.(TANG Chun?an，WANG Shuhong，FU Yufang. Numerical test of rock failure[M]. Beijing：Science Press，2003：41–47.(in Chinese))
[22] BRADY B H G，BROWN E T. Rock mechanics for underground mining[M]. 2nd ed. London，UK：Chapman and Hall，1993：106–108.
[23] 林睦曾. 岩石热物理学及其工程应用[M]. 重庆：重庆大学出版社，1991：1–10.(LIN Muzeng. Thermo-petrophysics of rocks and its engineering application[M]. Chongqing：Chongqing University Press，1991：1–10.(in Chinese))
[24] ICHIKAWA Y，KAWAMURA K，UESUGI K，et al. Micro and macro behavior of granitic rock：observations and viscoelastic homogenisation analysis[J]. Computer Methods in Applied Mechanics and Engineering，2001，191(2)：47–72.
[25] 刘建军，刘海蕾. 岩石热物理性质测试与分析[J]. 西部探矿工程，2009，(4)：144–148.(LIU Jianjun，LIU Hailei. Measurement and analysis for rock thermo-physical properties[J]. West-China Exploration Engineering，2009，(4)：144–148.(in Chinese))
2012, Vol. 31 
