基于DIP-FFT数值方法的花岗岩多尺度力学特性研究

doi:10.13722/j.cnki.jrme.2022.0029

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Abstract In order to study the influence of the micromechanical property and microstructure on the macroscopic mechanical properties of granite，the composition and proportion of each mineral as well as the morphology of the granite are firstly obtained by the X-ray diffraction and the polarizing microscope tests. Then，the mechanical properties of each mineral are qualitatively analyzed by nanoindentation test and the micromechanical parameters are calculated. In order to overcome the difficulty of considering the internal microstructure characteristics of rocks by the traditional homogenization methods，a DIP-FFT numerical method is proposed based on the combination of the digital image processing(DIP) and the fast Fourier transforms(FFT) method which can directly use the actual image of rocks to generate the numerical model. The proposed method is applied to calculate the effective elastic modulus and Poisson?s ratio which are compared with the analytical homogenization solution and the triaxial compression tests. The research results show that the mineral phases are obviously heterogeneous at the microscopic scale. It is noted that the phase of quartz possesses high strength with stable mechanical properties，and followed by the feldspar. The phase of mica performs large deformation with internal pore structure. The macroscopic elastic modulus of granite increases with the growth of the confining pressure and tends to be stable. The proposed DIP-FFT method reasonably considers the influence of microstructure characteristics and establishes the relationship between the microscopic and macroscopic properties of the studied granite. The predicted effective elastic modulus and Poisson’s ratio are well consistent with the experimental results under medium confining pressure. The results of this research provide a reasonable and efficient approach to determine the macroscopic mechanical properties of rock materials from the microscopic level. It is also important in engineering practice for evaluating the mechanical properties of surrounding rocks especially in complex engineering applications.

Key words： rock mechanics granite nanoindentation test homogenization method digital image process(DIP) fast Fourier transforms(FFT) method micromechanics

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	Articles by authors
	LI Mingyao1
	2
	PENG Lei2
	ZUO Jianping1
	2
	WANG Zhimin2
	LI Shaojin2
	XUE Xiren2

Cite this article:

LI Mingyao1,2,PENG Lei2, et al. Study on multi-scale mechanical properties of granite based on DIP-FFT numerical method[J]. , 2022, 41(11): 2254-2267.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2022.0029 OR http://rockmech.whrsm.ac.cn/EN/Y2022/V41/I11/2254

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