王泽,李文璞,冯国瑞,等. 真三轴卸荷条件下砂岩力学特性和剪切变形带预测模型[J]. 煤炭学报,2023,48(10):3700−3712. DOI: 10.13225/j.cnki.jccs.2022.1745
引用本文: 王泽,李文璞,冯国瑞,等. 真三轴卸荷条件下砂岩力学特性和剪切变形带预测模型[J]. 煤炭学报,2023,48(10):3700−3712. DOI: 10.13225/j.cnki.jccs.2022.1745
WANG Ze,LI Wenpu,FENG Guorui,et al. Mechanical properties of sandstone and prediction model of shear deformation band under true triaxial unloading conditions[J]. Journal of China Coal Society,2023,48(10):3700−3712. DOI: 10.13225/j.cnki.jccs.2022.1745
Citation: WANG Ze,LI Wenpu,FENG Guorui,et al. Mechanical properties of sandstone and prediction model of shear deformation band under true triaxial unloading conditions[J]. Journal of China Coal Society,2023,48(10):3700−3712. DOI: 10.13225/j.cnki.jccs.2022.1745

真三轴卸荷条件下砂岩力学特性和剪切变形带预测模型

Mechanical properties of sandstone and prediction model of shear deformation band under true triaxial unloading conditions

  • 摘要: 中间主应力和卸载作用对岩石剪切破坏特性具有重要影响。基于多功能真三轴流固耦合试验系统,开展不同中间主应力条件下砂岩加载和卸载破坏试验,分析其变形特征和强度特性,通过建立本构关系和剪切变形带角度预测模型,研究2者对剪切变形带角度的影响规律。试验结果表明:随着中间主应力增加,岩样峰值处偏剪切应力增加,且卸载条件下增幅较小;岩样最大压缩点呈现先增加后趋于稳定的趋势,达到最大压缩点后,加载条件下岩样体积应变由膨胀逐渐变为压缩,而卸载条件下均呈膨胀趋势。随着中间主应力增加,岩样偏剪切应变陡增,卸载条件下陡增提前。在峰值处,卸载条件下应力Lode角和应变Lode角均比加载条件下的大,且2个条件下2类Lode角的差值随中间主应力增加而增大。中间主应力和卸载作用可以通过应力Lode角反映岩石屈服特性,通过应变Lode角反映岩石内部裂隙演化方向。采用等效塑性应变表征内摩擦角和剪胀角,建立由三应力不变量构成的硬化本构关系;引入相关流动法则,构建剪切变形带角度预测模型。对比试验值,发现模型预测效果良好。随着中间主应力增加,变形带角度先减小随后趋于稳定;而卸载作用会减小变形带角度,并受中间主应力影响,角度减小幅度下降。

     

    Abstract: The intermediate principal stress and unloading have an important influence on the shear failure characteristics of rock. Based on the multifunctional true triaxial fluid-structure interaction test system, the loading and unloading failure tests of sandstone under different intermediate principal stress conditions were carried out. The deformation characteristics and strength characteristics were analyzed, and the influence of the two on the angle of shear deformation zone was studied by establishing the constitutive relationship and the shear deformation zone angle prediction model. The test results show that with the increase of intermediate principal stress, the deflected shear stress at the peak of the rock sample increases, and the increase under unloading conditions is small. The maximum compression point of the rock sample shows a trend of increasing first and then stabilizing, and after reaching the maximum compression point, the volume strain of the rock sample gradually changes from expansion to compression under loading conditions, while the expansion trend occurs under unloading conditions. With the increase of intermediate principal stress, the deflection shear strain of the rock sample increases sharply, and the steep increase under unloading conditions occurs early. At the peak, the stress and strain Lode angles under the unloading condition are larger than those under the loading condition, and the difference between the two types of Lode angles under the two conditions increases with the increase of the intermediate principal stress. The intermediate principal stress and unloading can reflect the yield characteristics of the rock through the stress Lode angle, and reflect the internal fracture evolution direction of the rock through the strain Lode angle. The equivalent plastic strain was used to characterize the internal friction angle and dilatancy angle, and to establish a hardening intrinsic relationship consisting of three stress invariants. Comparing the experimental values, it was found that the model predicted well. With the increase of the intermediate principal stress, the angle of the deformation zone first decreases and then stabilizes. The unloading effect will reduce the angle of the deformation zone, and the angle decrease level is reduced under the influence of the intermediate principal stress.

     

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