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通过建立横观各向同性圆柱土样轴对称Biot固结问题的Green·函数,得到了用Green函数表示的径向位移分布表达式和相应的空隙水压力的精确解析解.该方法不仅避免了将问题的解分解为弹性静力学解和渗流拟动态解的叠加的过程和复杂的积分变换,而且问题的级数解形式简洁,收敛速度较快,便于数值计算和圆柱土样的全场渗流固结规律的分析.最后以此结果具体分析了Mandel-Cryer效应在圆柱土样不同位置的强弱程度和土的泊松比对Mandel-Cryer效应的影响,表明本文方法的正确性.
The Green’s function is used to establish the exact solution to the radial displacement distribution expressed by Green’s function and the corresponding pore water pressure by establishing the Green · function of Axisymmetric Biot’s consolidation problem of transversely isotropic cylindrical soil samples. This method not only avoids The solution of the problem is decomposed into the superposition process of elastic statics solution and seepage pseudo-dynamic solution and complex integral transformation, and the series solution of the problem is simple in form and fast in convergence speed, which is convenient for numerical calculation and whole-field seepage of cylindrical soil samples Finally, based on the result, the influence of Mandel-Cryer effect on the Mandel-Cryer effect at different positions of cylindrical soil samples and Poisson’s ratio of soils is analyzed, which shows the correctness of this method.