长沙理工大学学报(自然科学版)
微结构依赖的界面土分数阶本构模型
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(河海大学 岩土力学与堤坝工程教育部重点实验室, 江苏 南京 210024)

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孙逸飞(1988—)(ORCID:0000-0001-8135-1467),男,教授,主要从事土体力学性质与本构模型方面的研究。E-mail:yifei.sun@hhu.edu.cn

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国家自然科学基金青年科学基金项目(52309129)


Microstructure-dependent fractional-order constitutive model of interfacial soil
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(Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210024, China)

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    摘要:

    【目的】建立考虑微结构影响的界面土本构模型并对其进行验证。【方法】模型中引入考虑颗粒定向排列和颗粒破碎影响的微结构标量,该标量影响了剪胀状态线与临界状态线之间的距离。采用土体分数阶塑性本构方法,建立微结构依赖分数阶本构模型。采用带误差控制的欧拉-柯西算法,在Matlab中编写所建立的模型,并验证在三维和二维、不同边界条件、不同微结构边界值情况下,模型数值模拟与实际试验数据的应力变形规律的匹配性。【结果】建立了含有10个模型参数的界面土分数阶本构模型,该模型可以准确地描述在三维常法向应力/刚度条件下界面土的三维剪切行为。微结构标量向其边界值演化,在不同微结构边界值条件下,模拟预测值均高于实测值,但预测值的应力位移变化趋势均与试验数据的一致。【结论】所建模型可以较好地模拟界面土硬化、软化、剪胀和剪缩等力学行为,且模型参数均可通过试验获得。本研究可为考虑微结构影响的土与结构物接触面本构理论研究提供参考。

    Abstract:

    [Purposes] This paper aims to develop and validate a constitutive model of interfacial soil considering the influence of microstructure. [Methods] A microstructure scalar considering the influence of the directional arrangement of particles and particle fragmentation was introduced into the model, which affected the distance between the shear expansion state line and the critical state line. The microstructure-dependent fractional-order constitutive model was built by using the fractional-order plastic constitutive method of soil. The Euler-Cauchy algorithm with error control was used to compile the established model in Matlab and verify the matching between the numerical modeling and the stress-deformation law of the actual test data under three-dimensional and two-dimensional conditions, different boundary conditions, and different microstructure boundary values, respectively. [Findings] The fractional-order constitutive model of interfacial soil with 10 model parameters is obtained, and the model can accurately describe the three-dimensional shear behavior of interfacial soil under the condition of three-dimensional constant normal load (CNL)/stiffness (CNS). The microstructure scalar evolves towards its boundary value, and the predicted values of the model are higher than the measured values under different microstructure boundary values, but the stress displacement variation of the predicted values is consistent with that of the test data. [Conclusions] The established model can well simulate the mechanical behaviors of interface soil such as hardening, softening, shear expansion, and shear shrinkage. All the model parameters can be obtained by test, which can provide a reference for the constitutive theoretical research on the soil-structure interface considering the influence of microstructure.

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谷成龙,孙逸飞,叶至韬,等.微结构依赖的界面土分数阶本构模型[J].长沙理工大学学报(自然科学版),2024,21(3):11-20.
GU Chenglong, SUN Yifei, YE Zhitao, et al. Microstructure-dependent fractional-order constitutive model of interfacial soil[J]. Journal of Changsha University of Science & Technology (Natural Science),2024,21(3):11-20.

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  • 收稿日期:2024-03-06
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  • 在线发布日期: 2024-08-09
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