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邵龙潭. 饱和土的土骨架应力方程[J]. 岩土工程学报, 2011, 33(12): 1833-1837.
引用本文: 邵龙潭. 饱和土的土骨架应力方程[J]. 岩土工程学报, 2011, 33(12): 1833-1837.
SHAO Long-tan. Skeleton stress equation for saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(12): 1833-1837.
Citation: SHAO Long-tan. Skeleton stress equation for saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(12): 1833-1837.

饱和土的土骨架应力方程

Skeleton stress equation for saturated soils

  • 摘要: 因为作用效果不同,土骨架的内力可以分成两组不同的平衡力系,即孔隙水压强引起的骨架内力和外荷载引起的骨架内力。分别以土骨架和孔隙水作为独立的分析对象,通过微元体的平衡分析导出饱和土的平衡微分方程,由此得到饱和土的土骨架应力方程,即有效应力方程。说明有效应力方程的物理本质是相间力的相互作用; Skempton 通过颗粒间作用力分析导出的有效应力的修正公式是不适当的;按照抗剪强度等效或者体积变形等效得到的有效应力表达式也完全可以用骨架应力和孔隙水压强来表达。

     

    Abstract: Owing to different effects of action, the internal forces of skeleton of saturated soils can be separated into two different sets in equilibrium. One is produced by pore water pressure, and the other by external loads. By taking each phase (i.e., soil skeleton and pore water) as an independent free body, the equilibrium differential equations can be derived by means of the equilibrium analysis for representative elementary volume. As a result, the skeleton stress equation, i.e., effective stress equation, is obtained. It shows that the essence of the effective stress equation is the force interaction between phases of the soil. The Skempton’s modified formula for effective stress equation, which is gotten from granular stress analysis, is inappropriate. The equivalent stress expressions which are derived according to the soil volume change or shear strength can also be formularized with skeleton stress and pore water pressure. The proposed method can be applied to unsaturated soils.

     

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