Maximum shear modulus anisotropy of rooted soils

Ali Akbar Karimzadeh, Anthony Kwan Leung, Zhiwei Gao
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Abstract

The maximum shear modulus (G0(ij)) of rooted soils is crucial for assessing the deformation and liquefaction potential of vegetated infrastructures under seismic loading conditions. However, no data or theory is available to account for the anisotropy of G0(ij) of rooted soils. This study presents a new model that can predict G0(ij) anisotropy of rooted soils by incorporating the projection of the stress tensor on two independent tensors that describe soil fabric and root network. Bender element tests were conducted on bare and vegetated specimens under isotropic and anisotropic loading conditions. The presence of roots in the soil increased G0(VH) at all confining pressures (p′), as well as G0(HH) and G0(HV) at low p′. However, the trend was reversed at higher p′ because the roots reduced the effects of confinement on G0(ij) by replacing stronger soil–soil interfaces with weaker soil–root interfaces. Roots made the soil fabric and G0(ij) more anisotropic. The proposed model can effectively predict the observed anisotropy of G0(ij) under isotropic and anisotropic loading conditions. The new model also offers a new method for determining the fabric anisotropy of sand based on the anisotropy of shear modulus.
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扎根土壤的最大剪切模量各向异性
根系土的最大剪切模量(G0(ij))对于评估地震荷载条件下植被基础设施的变形和液化潜力至关重要。然而,目前还没有数据或理论来解释根系土 G0(ij) 的各向异性。本研究提出了一个新模型,通过将应力张量投影到描述土壤结构和根系网络的两个独立张量上,可以预测扎根土壤的 G0(ij) 各向异性。在各向同性和各向异性加载条件下,对裸露和植被试样进行了弯曲元试验。在所有约束压力(p′)下,土壤中根系的存在都会增加 G0(VH),在低 p′ 下也会增加 G0(HH)和 G0(HV)。然而,在较高的 p′ 时,这一趋势发生了逆转,因为根系用较弱的土壤-根系界面取代了较强的土壤-土壤界面,从而减少了封闭对 G0(ij) 的影响。根系使土壤结构和 G0(ij) 更加各向异性。所提出的模型可以有效预测在各向同性和各向异性加载条件下观察到的 G0(ij) 各向异性。新模型还提供了一种基于剪切模量各向异性确定砂土结构各向异性的新方法。
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