横观各向同性非均质地基的Biot固结轴对称问题求解

从横观各向同性地基Ｂｉｏｔ固结轴对称问题基本方程的Ｌａｐｌａｃｅ变换式出发，构造地基固结问题基本量关于竖向及径向坐标偏微分之间的矩阵关系式，再通过对该关系式进行关于径向坐标的Ｈａｎｋｅｌ变换，得到矩阵微分方程，进而可以得到团结问题基本量之间的传递矩阵。利用传递矩阵、边界条件及逆变换技术可实现多层地基的计算。编制了计算程序，并给出一算例。

SOLUTIONS FOR BIOT CONSOLIDATION AXISYMMETRIC PROBLEMS OF CROSS- ANISOTROPIC LAYERED SUBSOILS

Based upon the Laplace transform expressions of basic equations of axisymmetric Biot consolidation, the matrix relationship expression between vertical and radial coordinates partial differentiation of cross - anisotropic soil is established. By making use of the Hankel transform about radial coordinate of matrix relationship expression, the routine matrix differential equations can be obtained, and the solution for transfer matrix is therefore realized. Multi-layered soil can be calculated by transfer matrix. Program is compiled and a numerical example is given.