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罗荣, 曾亚武, 杜欣. 非均质岩石材料宏细观力学参数的关系研究[J]. 岩土工程学报, 2012, 34(12): 2331-2336.
引用本文: 罗荣, 曾亚武, 杜欣. 非均质岩石材料宏细观力学参数的关系研究[J]. 岩土工程学报, 2012, 34(12): 2331-2336.
LUO Rong, ZENG Ya-wu, DU Xin. Relationship between macroscopic and mesoscopic mechanical parameters of inhomogenous rock material[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(12): 2331-2336.
Citation: LUO Rong, ZENG Ya-wu, DU Xin. Relationship between macroscopic and mesoscopic mechanical parameters of inhomogenous rock material[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(12): 2331-2336.

非均质岩石材料宏细观力学参数的关系研究

Relationship between macroscopic and mesoscopic mechanical parameters of inhomogenous rock material

  • 摘要: 利用基于岩石矿物种类及其含量提出的岩石矿物细胞元随机性参数赋值方法,针对两矿物细胞元混合的非均质岩石模型进行参数赋值,通过数值试验研究了非均质岩石材料矿物细胞元含量及其力学参数对岩石宏观力学参数的影响;根据数值试验结果,探讨了岩石材料矿物细胞元弹性模量与宏观模量之间的函数关系。研究结果表明,岩石宏观弹性模量与矿物细胞元弹性模量、矿物细胞元含量都具有十分显著的线性相关关系,即基于岩石矿物种类及其含量的矿物细胞元随机性参数赋值方法建立的岩石有限元模型宏细观力学参数之间呈显著的线性关系;宏观力学参数可用细观力学参数的数学期望值即加权平均值来表示。

     

    Abstract: The assignment method for random parameters of the rock mineral cell unit based on the types and contents of rock minerals is used to assign parameters for the model for two series of mineral cell units. The influences of both rock cell contents and mechanical parameters on the macroscopic parameters of inhomogenous rock materials are studied by numerical experiments. The functional relationship between the mesoscopic and the macroscopic Young's moduli is studied according to the results of numerical experiments. The results indicate that there is a significant linear correlation both between the macroscopic Young's modulus and the mesoscopic Young's modulus of rock mineral cell units and the contents of mineral cell. In other words, for the model for inhomogenous rock based on the assignment method for random parameters of the rock mineral cell units, there is a significant linear correlation between the macroscopic and the mesoscopic mechanical parameters. The macroscopic mechanical parameter can be expressed by the mathematical expectation value or weighted average of the mesoscopic mechanical parameters.

     

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