李明耀, 彭磊, 左建平, 王智敏, 李绍金, 薛喜仁. 基于真实细观结构的FFT数值方法对岩石材料非线性力学行为的研究[J]. 矿业科学学报, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 引用本文: 李明耀, 彭磊, 左建平, 王智敏, 李绍金, 薛喜仁. 基于真实细观结构的FFT数值方法对岩石材料非线性力学行为的研究[J]. 矿业科学学报, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 Li Mingyao, Peng Lei, Zuo Jianping, Wang Zhimin, Li Shaojin, Xue Xiren. Study of the nonlinear mechanical behavior of rock materials using the FFT numerical method based on the actual mesostructure[J]. Journal of Mining Science and Technology, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 Citation: Li Mingyao, Peng Lei, Zuo Jianping, Wang Zhimin, Li Shaojin, Xue Xiren. Study of the nonlinear mechanical behavior of rock materials using the FFT numerical method based on the actual mesostructure[J]. Journal of Mining Science and Technology, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 李明耀, 彭磊, 左建平, 王智敏, 李绍金, 薛喜仁. 基于真实细观结构的FFT数值方法对岩石材料非线性力学行为的研究[J]. 矿业科学学报, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 引用本文: 李明耀, 彭磊, 左建平, 王智敏, 李绍金, 薛喜仁. 基于真实细观结构的FFT数值方法对岩石材料非线性力学行为的研究[J]. 矿业科学学报, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 Li Mingyao, Peng Lei, Zuo Jianping, Wang Zhimin, Li Shaojin, Xue Xiren. Study of the nonlinear mechanical behavior of rock materials using the FFT numerical method based on the actual mesostructure[J]. Journal of Mining Science and Technology, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007 Citation: Li Mingyao, Peng Lei, Zuo Jianping, Wang Zhimin, Li Shaojin, Xue Xiren. Study of the nonlinear mechanical behavior of rock materials using the FFT numerical method based on the actual mesostructure[J]. Journal of Mining Science and Technology, 2022, 7(4): 456-466. doi: 10.19606/j.cnki.jmst.2022.04.007

国家自然科学基金 11802332

煤炭资源与安全开采国家重点实验室-北京高等学校卓越青年科学家计划项目联合基金 BJJWZYJH01201911413037

煤炭资源与安全开采国家重点实验室-北京高等学校卓越青年科学家计划项目联合基金 SKLCRSM21LH02

中央高校基本科研业务费专项资金 2020YQLJ08

作者简介:

李明耀(1986—)，男，陕西岐山人，博士，副教授，主要从事多尺度多场耦合岩石本构理论及数值计算方法的研究工作。Tel：13718778275，E-mail： mingyao.li@cumtb.edu.cn

通讯作者: 左建平(1978—)，男，江西高安人，博士，教授，主要从事岩石力学、损伤、断裂及数值计算等方面的研究工作。Tel：18910397078，E-mail： zjp@cumtb.edu.cn

中图分类号: TD313

岩石的非均质性(矿物夹杂、微裂隙、微孔洞等细观结构)对其非线性力学行为和破坏过程有着显著影响。本文采用无需对复杂细观结构划分网格的快速傅立叶变换(FFT)数值方法，直接获取图像中的像素点作为材料点，准确得到非均质材料的细观结构特征和力学性质的特点，与数字图像处理(DIP)技术有机结合，建立了基于真实细观结构的FFT数值计算方法，模拟了非均质岩石在外荷载作用下的弹塑性变形过程，探究了岩石内部细观结构对非线性力学行为的影响规律与宏观力学性质的内在联系。研究结果表明：基于真实细观结构的FFT模型，能很好地预测不同埋深和不同围压条件下黏土岩的峰前非线性行为和峰值强度，细观结构的形状、大小和分布直接决定了黏土岩内部应力场的分布。研究结论为研究岩石细观结构特征及其非线性力学行为提供了一个重要手段。 快速傅里叶变换法 /  图像处理 /  岩石材料 /  细观力学 / Abstract: Rock heterogeneity (such as mineral inclusions, micro-cracks, micro-voids and other microstructures) significantly affects its nonlinear mechanical behavior and failure process. This paper utilizes the Fast Fourier transform-based(FFT) numerical method which does not require meshing of complex microstructure but directly obtains the microstructure of heterogeneous materials through the pixels of the image. In addition, the method can be naturally combined with digital image processing (DIP). An actual-microstructure-based FFT method is thereby developed to simulate the elastoplastic behavior of the heterogeneous rocks under external load. The influence of microstructure on the nonlinear behavior is discussed as well as the internal relationship between the microstructure and the macroscopic mechanical properties. The results show that the real-microstructure-based FFT method can well predict the nonlinear behavior before and after the peak strength of the rocks under different depths and confining pressures. The shape, size and distribution of microstructure directly determine the distribution of stress field in clay rock. The actual-microstructure-based FFT method proposed in this paper can reasonably consider the rock heterogeneity, and provides an important tool for studying the influence of the rock microstructure characteristics on the nonlinear mechanical behavior. Key words: Fast Fourier Transforms (FFT) method /  digital image process /  rocks /  micromechanics /  heterogeneity  陈沙, 岳中琦, 谭国焕. 基于真实细观结构的岩土工程材料三维数值分析方法[J]. 岩石力学与工程学报, 2006, 25(10): 1951-1959. doi: 10.3321/j.issn:1000-6915.2006.10.002

Chen Sha, Yue Zhongqi, Tan Guohuan. Actual mesostructure based three-dimensional numerical modeling method for heterogeneous geomaterials[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(10): 1951-1959. doi: 10.3321/j.issn:1000-6915.2006.10.002 程虹铭, 杨小彬, 刘隽嘉, 等. 基于损伤演化的砂岩能量参数围压效应研究[J]. 矿业科学学报, 2020, 5(3): 249-256. http://kykxxb.cumtb.edu.cn/article/id/286

Cheng Hongming, Yang Xiaobin, Liu Junjia, et al. Confining pressure effect on energy parameters of sandstones based on damage evolution[J]. Journal of Mining Science and Technology, 2020, 5(3): 249-256. http://kykxxb.cumtb.edu.cn/article/id/286 滕腾, 杜玉冰, 陈朋飞, 等. 砂岩变形率与水理效应的力学特性研究[J]. 矿业科学学报, 2020, 5(3): 342-352. http://kykxxb.cumtb.edu.cn/article/id/298

Teng Teng, Du Yubing, Chen Pengfei, et al. Effects of deformation rate and hydrated condition on the mechanical property of sandstone[J]. Journal of Mining Science and Technology, 2020, 5(3): 342-352. http://kykxxb.cumtb.edu.cn/article/id/298 李德建, 祁浩, 李春晓, 等. 含层理面煤试样的巴西圆盘劈裂实验及数值模拟研究[J]. 矿业科学学报, 2020, 5(2): 150-159. http://kykxxb.cumtb.edu.cn/article/id/275

Li Dejian, Qi Hao, Li Chunxiao, et al. Brazilian disc splitting tests and numerical simulations on coal samples containing bedding planes[J]. Journal of Mining Science and Technology, 2020, 5(2): 150-159. http://kykxxb.cumtb.edu.cn/article/id/275 于庆磊, 杨天鸿, 郑超, 等. 岩石细观结构对其变形强度影响的数值分析[J]. 岩土力学, 2011, 32(11): 3468-3472. doi: 10.3969/j.issn.1000-7598.2011.11.044

Yu Qinglei, Yang Tianhong, Zheng Chao, et al. Numerical analysis of influence of rock mesostructure on its deformation and strength[J]. Rock and Soil Mechanics, 2011, 32(11): 3468-3472. doi: 10.3969/j.issn.1000-7598.2011.11.044 朱泽奇, 肖培伟, 盛谦, 等. 基于数字图像处理的非均质岩石材料破坏过程模拟[J]. 岩土力学, 2011, 32(12): 3780-3786. doi: 10.3969/j.issn.1000-7598.2011.12.040

Zhu Zeqi, Xiao Peiwei, Sheng Qian, et al. Numerical simulation of fracture propagation of heterogeneous rock material based on digital image processing[J]. Rock and Soil Mechanics, 2011, 32(12): 3780-3786. doi: 10.3969/j.issn.1000-7598.2011.12.040 韩振华, 张路青, 周剑, 等. 矿物粒径对花岗岩单轴压缩特性影响的试验与模拟研究[J]. 工程地质学报, 2019, 27(3): 497-504. https://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ201903005.htm

Han Zhenhua, Zhang Luqing, Zhou Jian, et al. Uniaxial compression test and numerical studies of grain size effect on mechanical properties of granite[J]. Journal of Engineering Geology, 2019, 27(3): 497-504. https://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ201903005.htm 岳中琦, 陈沙, 郑宏, 等. 岩土工程材料的数字图像有限元分析[J]. 岩石力学与工程学报, 2004, 23(6): 889-897. doi: 10.3321/j.issn:1000-6915.2004.06.002

Yue Zhongqi, Chen Sha, Zheng Hong, et al. Digital image proceeding based on finite element method for geomaterials[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(6): 889-897. doi: 10.3321/j.issn:1000-6915.2004.06.002 凌天龙, 刘殿书, 梁书锋, 等. 花岗岩损伤型黏弹性动态本构模型研究[J]. 矿业科学学报, 2019, 4(5): 403-409. http://kykxxb.cumtb.edu.cn/article/id/239

Ling Tianlong, Liu Dianshu, Liang Shufeng, et al. Research on damage viscoelastic dynamic constitutive model of granite[J]. Journal of Mining Science and Technology, 2019, 4(5): 403-409. http://kykxxb.cumtb.edu.cn/article/id/239 京ICP备05066826号

地址： 北京市海淀区学院路丁11号中国矿业大学（北京）3号办公楼

联系电话： 010-62339662, 010-62339897, 010-62339528 邮箱： kykxxb@cumtb.edu.cn

北京仁和汇智信息技术有限公司