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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北京林业大学水土保持学院

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国家自然科学基金项目(面上项目,重点项目,重大项目),国家自然科学基金面上项目(32271961),


Modeling of the Constitutive Relationship Based on the Mixture Law for Vetiver - Laterite Composites at Different Growth Stages
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1.Beijing Forestry University;2.School of Soil and Water Conservation, Beijing Forestry University

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    摘要:

    [目的]构建适用于不同生长阶段香根草根土复合体的本构模型,以精确模拟和预测根土复合体力学行为。[方法]本研究选取三个不同生长阶段(20d、40d和60d)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以及应力-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,能够根据两种材料的特性差异,有效模拟并准确反映两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、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,还能够通过根系数量、单根弹性模量、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了科学的理论支持。

    Abstract:

    [Objective] To construct a constitutive model suitable for the vetiver grass-soil composite at different growth stages, for the precise simulation and prediction of its mechanical behavior. [Method] This study selected vetiver grass-lateritic soil composites at three growth stages (20 days, 40 days, and 60 days) as the research subjects, and mechanical data were obtained through triaxial tests. Based on the mixture rule, the Duncan-Chang model and the linear elastic model were employed to calculate the constitutive relationships of the soil and plant roots, respectively, and these were superimposed according to the volume fraction. [Results] (1) The two-phase superimposed constitutive model constructed based on the mixture theory demonstrated excellent performance in simulating the mechanical behavior of the root-soil composite (R2 > 0.89). The stress-strain curves of the model accurately reflected the shear strength of the root-soil composite in triaxial tests and the variation trends of stress-strain relati

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  • 收稿日期:2025-01-25
  • 最后修改日期:2025-02-25
  • 录用日期:2025-03-12
  • 在线发布日期: 2025-07-07
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