王 杰 马凤山 徐嘉谟 丁德民 张亚民 郭, 捷, 魏爱华 巩城城. 2010: 自重体积力作用下坡体张应力及坡面位移的变化规律. 工程地质学报, 18(1): 120.
    引用本文: 王 杰 马凤山 徐嘉谟 丁德民 张亚民 郭, 捷, 魏爱华 巩城城. 2010: 自重体积力作用下坡体张应力及坡面位移的变化规律. 工程地质学报, 18(1): 120.
    2010: REGULARITIES FOR CHANGES OF TENSILE STRESSES AND DISPLACEMENTS ON INCLINED SURFACE OF SLOPE SUBJECTED TO GRAVITY ONLY. JOURNAL OF ENGINEERING GEOLOGY, 18(1): 120.
    Citation: 2010: REGULARITIES FOR CHANGES OF TENSILE STRESSES AND DISPLACEMENTS ON INCLINED SURFACE OF SLOPE SUBJECTED TO GRAVITY ONLY. JOURNAL OF ENGINEERING GEOLOGY, 18(1): 120.

    自重体积力作用下坡体张应力及坡面位移的变化规律

    REGULARITIES FOR CHANGES OF TENSILE STRESSES AND DISPLACEMENTS ON INCLINED SURFACE OF SLOPE SUBJECTED TO GRAVITY ONLY

    • 摘要: 为了提高对边坡体力学行为的认识,借助于FLAC有限差分软件的数值模拟,并结和相似理论的推导验证,研究了在仅有自重体积力作用的条件下,线弹性边坡体的一些力学特征及其与相关变量或物理力学参数的相关关系。没有外载荷影响时边坡地表最大主应力和最小主应力分别平行和垂直于地表,当深度增加时,主应力的取向逐渐变成竖直和水平两个方向,坡面处既有张应力区也有拉应力区,坡脚处亦存在较大的张应力,这是自重体积力作用下边坡体应力分布的一般性特征,在本文和前人的研究中都能体现。本文还重点揭露了:坡角线性增加时坡顶最大张应力的变化速率表现为:快慢快; 沿坡顶面竖直向下张应力随深度增加线性减小; 小变形条件下边坡应力场与弹性模量无关; 最后验证了满足相似理论的坡体,坡面对应点的位移比是其几何尺寸比的平方倍。本文不仅是对既有研究成果的进一步补充,而且为以后研究复杂条件下边坡体的力学特征奠定了基础,对于理论和实践都有一定的启发意义。

       

      Abstract: To enhance understanding of the mechanism of slope stability,this paper investigates some of the mechanical characteristics of the slope mass only subjected to its selfweight body force. It uses the FLAC numerical simulation software and similarity law. It studies the relationships between them and the related physical or mechanical parameters. At the ground surface,the principal stresses must be either parallel or normal to the topography in the absence of surface loads. As the depth increases,the principal stress directions approach either vertical or horizontal. There are tensile stress and compressive stress at the slope surface. And the tensile stress in the toe of a slope is also very high. These are some general characteristics for the distribution of stresses in a slope,shown both in this paper or some other articles. This paper emphasizes that when the angle of a slope increases linearly,the changing velocity of maximum tensile stress on the top of the slope behaves fastly,then slowly and then fastly. The tensile stress decreases linearly with the depth on a line from the top of the slope downward vertically to the inner of the slope. Under the condition of small deformation,the stress field does not depend on the Youngs modulus value. When meeting the similarity law,the magnitudes of displacement ratios at the corresponding points are square times of their sizes ratios of a slope. This paper complements to existing knowledge. It further offers a base for further studies on more complicated slopes. It is meaningful in both theory and practice.

       

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