考虑土体各向异性的加筋土基础理论计算

B. Korchevskiy, Andryi Kolesnyk
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摘要

在土中引入水平加筋元素,使其成为一种各向异性介质,而水平加筋元素在纵向上具有较高的变形速率。即垂直方向和水平方向的强度特征明显不同的环境。本文考虑水平布置加筋单元时,加筋单元的厚度远小于土层厚度,因此可以忽略,加筋土在水平方向上的强度和变形特征可以视为未加筋。在垂直方向上,土体中加筋的存在显著改变了土体的特性。模型试验结果证实了这一点。加筋土基础的计算主要归结为确定加筋参数对加筋土层内应力分布和变形的影响。求解基于各向异性半平面在线性载荷作用下的应力状态的基本公式。基底用线性可变形多孔介质表示,其状态用变形模量Еx, Ez,泊松系数νx, νz和剪切模量Gz来表征。我们引入假设沿水平加筋单元的整个长度,土中的切向应力保持其最大值max。此类应力应考虑在加筋元件的影响范围内[2-3],其包含在强度裕度中。得到了考虑各向异性介质条件下加筋土的最大切向应力和主应力表达式。确定了地基加固单元截面的选择与所用材料的计算阻力的关系。得到了钢筋长度和加固步骤对钢筋基础纵向变形模量的依赖关系。考虑各向异性加筋土的各向异性特性,确定各向异性加筋土的剪切模量Gz。
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THEORETICAL CALCULATION OF REINFORCED FOUNDATIONS TAKING INTO ACCOUNT ANISOTROPY OF SOILS
The introduction of horizontal reinforcing elements into the soil, which have much higher deformation rates in the longitudinaldirection, turns it into an anisotropic medium. That is, an environment in which the strength characteristics in the vertical andhorizontal directions are significantly different.This article considers the case when the reinforcing elements are laid horizontally, and their thickness is much smaller thanthe thickness of the soil layers, so it can be neglected and the characteristics of the strength and deformations of the reinforcedsoil in the horizontal direction can be taken as for unreinforced. In the vertical direction, the presence of reinforcement in the soilmass significantly changes its characteristics. This is confirmed by the obtained results of model tests.The calculation of reinforced foundations is reduced mainly to the determination of the influence of reinforcement parameterson the distribution of stresses and, accordingly, deformations in the layers of reinforced soil.The solution is based on the basic formulas of the stress state of an anisotropic half-plane loaded with a linear load. The baseis represented by a linearly deformable porous medium, the state of which is characterized by the deformation moduli Еx, Ez, thePoisson coefficients νx, νz and the shear modulus Gz.We introduce the assumption that along the entire length of the horizontal reinforcing element, the tangential stresses in thesoil retain their maximum values max  . Such stresses should be taken into account within the scope of influence of the reinforcingelement [2-3], which is included in the margin of strength.Obtained expressions of the maximum tangential and principal stresses of the reinforced soil, taking into account theanisotropic medium.The dependence of the selection of the cross-section of reinforcing elements of soil foundations on the calculated resistanceof the materials used for them is determined.Calculated dependences of the modulus of deformation of reinforced bases in the vertical direction Ez, due to the length ofthe reinforcement and the reinforcement step, were obtained.The shear modulus Gz of anisotropic reinforced soils is determined, taking into account the parameters of the reinforcement,as well as the anisotropic properties of the soil.
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