球面各向同性圆球土样的Biot固结模型

Biot consolidation model of a spherically isotropic soil sample

利用B iot固结的基本理论和球面各向同性弹性力学的一般理论,建立了球面各向同性圆球土样B iot固结问题的数学模型,在此基础上,应用Fourier,Laplace,及Hankel变换等数理方法求出其解析解;也可应用数值分析的方法进行编程计算。因此,模型的建立对其后的求解工作及B iot固结理论的扩展有重要的意义。

The paper uses the primary theory of Biot consolidation and spherically isotropic elastic mechanics ,and gets the Biot consolidation model of a spherically iotropic soil sample. Through the conclusion, Fourier, Laplace, Hankel Transition can be used and the solution is obtained. With computer, so the model has the important significance to the future research.