胡小荣, 路祥, 蔡晓锋. 非饱和黏性土的广义有效应力三剪弹塑性本构模型[J]. 工程力学, 2024, 41(5): 107-119. DOI: 10.6052/j.issn.1000-4750.2022.05.0410
引用本文: 胡小荣, 路祥, 蔡晓锋. 非饱和黏性土的广义有效应力三剪弹塑性本构模型[J]. 工程力学, 2024, 41(5): 107-119. DOI: 10.6052/j.issn.1000-4750.2022.05.0410
HU Xiao-rong, LU Xiang, CAI Xiao-feng. THE TRIPLE-SHEAR UNIFIED CONSTITUTIVE MODEL FOR UNSATURATED CLAYS BASED ON THE GENERALIZED EFFECTIVE STRESS CONCEPT[J]. Engineering Mechanics, 2024, 41(5): 107-119. DOI: 10.6052/j.issn.1000-4750.2022.05.0410
Citation: HU Xiao-rong, LU Xiang, CAI Xiao-feng. THE TRIPLE-SHEAR UNIFIED CONSTITUTIVE MODEL FOR UNSATURATED CLAYS BASED ON THE GENERALIZED EFFECTIVE STRESS CONCEPT[J]. Engineering Mechanics, 2024, 41(5): 107-119. DOI: 10.6052/j.issn.1000-4750.2022.05.0410

非饱和黏性土的广义有效应力三剪弹塑性本构模型

THE TRIPLE-SHEAR UNIFIED CONSTITUTIVE MODEL FOR UNSATURATED CLAYS BASED ON THE GENERALIZED EFFECTIVE STRESS CONCEPT

  • 摘要: 将非饱和土广义有效应力原理与三剪强度准则相结合,提出了非饱和土广义有效应力三剪强度准则。将所提准则作为破坏准则,分别采用等量代换法和坐标平移法推导出新的破坏应力比,并将其与非饱和土修正剑桥模型相结合得到了新的屈服函数。相比于原来修正剑桥模型中的破坏应力比为定值,新的屈服函数可以更好地反应土体全应力状态、中间主应力效应和拉压不等效应。在弹塑性理论的框架下,建立了非饱和土的广义有效应力三剪弹塑性本构模型。以江西正常固结非饱和重塑红黏土作为试验研究对象,进行室内土工试验、土水特征曲线试验、压缩回弹试验、非饱和土常规三轴固结排水试验。将该本构模型计算结果与非饱和土三轴固结排水试验结果进行对比验证。结果表明:数值模拟结果与试验结果吻合较好,验证了该本构模型的正确性。在轴向应变较小时,等量代换法和坐标平移法模拟结果比较接近,随着轴向应变增大直至偏应力达到平稳状态的过程中,等量代换法计算结果要大于坐标平移法计算结果,且更接近于试验值。真三轴计算预测结果表明:在固结排水条件下,初始压实度、净围压、基质吸力相同,中间主应力影响系数越大,则剪应力和体应变越大。b值相同的情况下,轴向应变较小时,等量代换法计算结果和坐标平移法计算结果比较接近,随着轴向应变的增大,二者之间的差值也越来越大。

     

    Abstract: Combining the triple-shear strength criterion with the generalized effective stress principle of unsaturated soils, the triple-shear strength criterion based on generalized effective stress for unsaturated soils was proposed. The new failure stress ratio was derived by using the equivalent substitution method and coordinate translation method, respectively. The new failure stress ratio was substituted into the modified Cambridge model for unsaturated soils to obtain the new yield function. Compared with the original modified Cambridge model whose failure stress ratio is constant, the new yield function can better reflect the total stress state, intermediate principal stress effect and tension-compression unequal effect of soils. A unified triple-shear elastoplastic constitutive model for unsaturated soils was established based on the generalized effective stress variable method under the framework of elasto-plastic theory. Taking Jiangxi remolded unsaturated clay in normal consolidation as the experimental research object, the paper carried out indoor geotechnical test, soil-water characteristic curve test, compression rebound test and conventional triaxial consolidation drainage test of unsaturated soil. The results of the constitutive model were compared with the results of unsaturated soil triaxial consolidation and drainage test. The results show that the numerical simulation results are in good agreement with the experimental results, which verifies the correctness of the constitutive model. When the axial strain is small, the simulation results of the equivalent substitution method and the coordinate translation method are relatively close. With the increase of the axial strain until the deviant stress reaches the steady state, the calculation results of the equal substitution method are greater than those of the coordinate translation method, and are closer to the experimental values. The prediction results of true triaxial calculation show that the initial compacting degree, net confining pressure and matric suction are the same under consolidation drainage condition, and the shear stress and bulk strain increase with the influence coefficient of intermediate principal stress. When the value of b is the same and the axial strain is small, the calculation results of the equivalent substitution method and the coordinate translation method are relatively close. With the increase of the axial strain, the difference between the two methods becomes larger.

     

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