不同生长阶段的香根草-红土复合体混合物法则本构关系建模
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吴锐斌(2000-),男,硕士研究生,主要从事水土保持工程研究。E-mail:wuruibin@bjfu.edu.cn

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S152.4

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国家自然科学基金面上项目(32271961)


Modeling Constitutive Relationship Based on Mixture Rule of Vetiver-Laterite Composite at Different Growth Stages
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    摘要:

    [目的] 构建适用于不同生长阶段的香根草根土复合体本构模型,以精确模拟和预测根土复合体力学行为。[方法] 选取3组不同生长阶段(20、40、60 d)的香根草-红土复合体作为研究对象,通过三轴试验获取力学参数。基于混合物法则,分别采用邓肯-张模型和线弹性模型计算土体和植物根系的本构关系,并按照体积分数进行叠加。[结果] 1)基于混合物法则理论所构建的两相叠加本构模型在模拟根土复合体的力学行为方面表现出色(R2>0.89)。该模型的应力-应变曲线能够准确地反映根土复合体在三轴试验中的抗剪强度及应力-应变关系在不同生长阶段的变化趋势。2)将邓肯-张模型与线弹性模型分别作为基本相与加筋相的本构关系模拟,能够根据2种材料的特性差异,有效模拟并准确反映二者各自在剪切过程中的应力-应变响应特征。3)香根草根系能够有效加固土体。在生长周期内,随着香根草种植时间的延长,根系的数量、直径和体积逐渐增大,弹性模量逐渐减小。根系加固作用逐步增强,根土复合结构体的抗剪强度也逐渐提升。[结论] 该模型不仅能够全面描述根土复合体的应力-应变关系,而且能够通过根系数量、单根弹性模量和根系体积等参数,精确评估不同生长阶段植物根系的土壤加固作用,为边坡稳定性分析和生态护坡技术的应用与规划提供科学理论支持。

    Abstract:

    [Objective] To establish a constitutive model applicable to different growth stages of vetiver grass root-soil composite,in order to precisely simulate and predict its mechanical behavior. [Methods] Three groups of vetiver-laterite composite samples at different growth stages(20 days,40 days,and 60 days)were selected as the research subjects. Mechanical parameters were obtained through triaxial tests. Based on the mixture rule,the constitutive relationships of soil and plant roots were calculated using the Duncan-Chang model and the linear elastic model,respectively,and then superimposed based on volume fraction. [Results] 1)The two-phase superimposed constitutive model based on the mixture rule demonstrated excellent performance in simulating the mechanical behavior of the root-soil composite(R2 >0.89). The stress-strain curves of this model accurately reflected the changes in the shear strength and stress-strain relationship of the root-soil composite in the triaxial tests at different growth stages. 2)Using the Duncan-Chang model and the linear elastic model as the constitutive relationships for the primary and reinforcement phase,respectively,the characteristics of the stress-strain response of the two materials during shear could be effectively simulated and accurately reflected. 3)The vetiver grass roots effectively reinforced the soil. During the growth cycle,with the extension of time,the number,diameter,and volume of the roots gradually increased,while the elastic modulus gradually decreased. The reinforcement effect of the roots progressively enhanced,leading to a gradual increase in the shear strength of the root-soil composite structure. [Conclusion] The proposed model not only comprehensively describes the stress-strain relationship of the root-soil composite but also accurately evaluates the soil reinforcement effect of plant roots at different growth stages through parameters such as root quantity,single-root elastic modulus,and root volume. The results provide a scientific basis for slope stability analysis and the application and planning of ecological slope protection technologies.

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吴锐斌, 及金楠, 李思岑.不同生长阶段的香根草-红土复合体混合物法则本构关系建模[J].水土保持学报,2025,39(5):189~196

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  • 收稿日期:2025-01-25
  • 最后修改日期:2025-02-25
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  • 在线发布日期: 2025-10-20
  • 出版日期: 2025-10-28
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