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胡亚元. 基于混合物理论的饱和岩石弹塑性模型[J]. 岩土工程学报, 2020, 42(12): 2161-2169. DOI: 10.11779/CJGE202012001
引用本文: 胡亚元. 基于混合物理论的饱和岩石弹塑性模型[J]. 岩土工程学报, 2020, 42(12): 2161-2169. DOI: 10.11779/CJGE202012001
HU Ya-yuan. Elastoplastic model for saturated rock based on mixture theory[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(12): 2161-2169. DOI: 10.11779/CJGE202012001
Citation: HU Ya-yuan. Elastoplastic model for saturated rock based on mixture theory[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(12): 2161-2169. DOI: 10.11779/CJGE202012001

基于混合物理论的饱和岩石弹塑性模型

Elastoplastic model for saturated rock based on mixture theory

  • 摘要: 为了避免运用Skempton有效应力创建非线性本构模型时确定Biot系数的困难,选择工程混合物理论来建立饱和岩石的弹塑性模型。首先,根据工程混合物理论中的均匀化响应原理,揭示“固相基质体应变决定固相基质压力,骨架弹性和塑性应变决定Terzaghi有效应力和耗散Terzaghi有效应力,流相基质体应变决定孔压”的饱和多孔介质本构规律。其次,根据Hoek-Brown屈服准则和非关联流动准则,在已有岩石损伤模型基础上建立了饱和岩石弹塑性模型。最后,利用三轴排水和不排水剪切试验验证了饱和岩石弹塑性本构模型的合理性。研究表明,基于工程混合物理论的饱和岩石弹塑性模型能够较准确地模拟弹性阶段、弹塑性阶段和下降段应力应变全过程曲线的宏观力学性质,反映三轴不排水剪切试验条件下孔压随剪切加载先增加后减少的变化规律。由于工程混合物理论不直接采用Skempton有效应力建模,因而可以克服Biot非线性理论中确定Biot系数公式的困难,更容易建立饱和岩石弹塑性本构模型。

     

    Abstract: In order to avoid the difficulties in evaluating the Biot's coefficient value of Skempton's effective stress used to formulate nonlinear constitutive model, the engineering mixture theory is chosen to build the elastoplastic model for saturated rock. Firstly, according to the principle of homogeneous response in the engineering mixture theory, the constitutive laws of saturated porous media are revealed as follows: "The solid matrix bulk strain determines solid matrix pressure, the skeleton elastic and plastic strains determine Terzaghi's effective stress and dissipate Terzaghi's effective stress, and the fluid matrix bulk strain determines pore pressure". Secondly, according to the Hoek-Brown yielding criterion and the non-associated flow rule, the saturated rock elastoplastic model is provided on the basis of the existing rock damage model. Finally, the proposed saturated rock elastoplastic model is validated by the triaxial drained and undrained shear test results. The researches show that the saturated rock elastoplastic model based on the engineering mixture theory can fairly accurately simulate the macroscopic mechanical behaviors of the overall stress-strain curve of rock including elastic stage, elastoplastic stage and descending stage, and illustrate the changing rule in the triaxial undrained shear tests that the pore pressure increases first and then decreases with the exteral shear stress. The engineering mixture theory does not use the Skempton's effective stress to build model, as a result, it can overcome the difficulties in determining the formula for Biot's coefficients in Biot's nonlinear model and is more convenient to establish the elastoplastic model for saturated rock.

     

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