A new method for solving Biot's consolidation of a finite soil layer in the cylindrical coordinate system

• 来源期刊: 力学学报(英文版)
• 年，卷（期）: 2008,（6）
• 页码范围: 691-697
• 页数: 7页
• 语种: 英文
• DOI: 10.1007/s10409-008-0187-5

摘要

A new method is developed to solve Biot's con-solidation of a finite soil layer in the cylindrical coordinate system. Based on the governing equations of Biot's con-solidation and the technique of Laplace transform, Fourier expansions and Hankel transform with respect to time t, coor-dinate 0 and coordinate r, respectively, a relationship of dis-placements, stresses, excess pore water pressure and flux is established between the ground surface (z = 0) and an arbi-trary depth z in the Laplace and Hankel transform domain. By referring to proper boundary conditions of the finite soil layer, the solutions for displacements, stresses, excess pore water pressure and flux of any point in the transform domain can be obtained. The actual solutions in the physical domain can be acquired by inverting the Laplace and the Hankel transforms.