›› 2011, Vol. 32 ›› Issue (1): 253-260.

• Numerical Analysis • Previous Articles     Next Articles

Three-dimensional transient Lamb’s problem of transversely isotropic saturated soils

WANG Xiao-gang   

  1. School of Civil Engineering & Architecture, Taizhou University, Taizhou, Zhejiang 318000, China
  • Received:2009-08-19 Online:2011-01-10 Published:2011-01-19

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Abstract:

The three-dimensional (3D) transient dynamic response of transversely isotropic saturated soils due to surface loads is studied. First, based on Biot’s 3D wave theory for fluid-saturated porous media, the governing differential equations in cylindrical coordinate are presented by Laplace transform. Then, according to operator theory, the general solutions of soil skeleton and fluid displacements and pore pressure as well as the total stresses for saturated soils are presented by means of Fourier expanding and Hankel integral transform. Furthermore, using general solutions, the transient solutions for Lamb’ problem of transversely isotropic saturated half-space to impulsive concentrated loading are presented. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

Key words: transversely isotropic, saturated soils, wave equations, transient solution

CLC Number: 

  • TU 435
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