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陈胜立, 张建民. 横观各向同性饱和地基轴对称Biot固结问题的解析解[J]. 岩土工程学报, 2002, 24(1): 26-30.
引用本文: 陈胜立, 张建民. 横观各向同性饱和地基轴对称Biot固结问题的解析解[J]. 岩土工程学报, 2002, 24(1): 26-30.
CHEN Shengli, ZHANG Jianmin. An analysis of axisymmetric consolidation for transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 26-30.
Citation: CHEN Shengli, ZHANG Jianmin. An analysis of axisymmetric consolidation for transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 26-30.

横观各向同性饱和地基轴对称Biot固结问题的解析解

An analysis of axisymmetric consolidation for transversely isotropic saturated soils

  • 摘要: 基于Biot理论研究了横观各向同性饱和地基半空间的轴对称固结问题。通过引入状态变量 ,构造出一组描述土体固结的等价状态变量微分方程。利用Hankel-Laplace联合变换对其进行求解 ,获得饱和土骨架位移、应力、孔隙水压力及渗流量的一般积分形式解 ,由此分析横观各向同性半空间饱和地基受荷载作用的固结性状。文末给出了数值算例。

     

    Abstract: Based on Biot’s general theory, the axisymmetric consolidation problems of transversely isotropic saturated soils are studied. By employing two state variables, the governing consolidation equations are reduced to a set of equivalent partial differential equations which can be solved by means of Hankel-Laplace integral transform technique. The general solutions for displacements and stress components of the solid matrix, the fluid pressure and discharge are obtained in integral form. At the end of this paper, the consolidation settlement of the transversely isotropic saturated soils is discussed and also a numerical result is presented.

     

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