UNI-AXIAL WAVE PROPAGATION THROUGH FLUID-SATURATED ELASTIC SOIL LAYER. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3

The motions of fluid and solid in a saturated linear elastic soil are coupled through the dependence of fluid and matrix stresses on the deformation of both constituents, and through the interaction drag (momentum transfer). The coupled momentum equations for the fluid and matrix velocities in uni-axial motion have two distinct signal (characteristic) speeds which govern the propagation of discontinuities, and which correspond to the wave speeds of the motion for zero drag. The major coupling is through the diffusive effect of the interaction drag. LaPlace transform analysis is used to exhibit the wave fronts initiated by step-velocity boundary loading and their successive reflexions from both surfaces of a soil layer. A shift theorem and asymptotic expansions determine the discontinuities of the velocities and their first and second derivatives at each wave front, defining a singular part of the solution. A decomposition into singular and smooth fields with derivatives up to the second continuous, yield coupled second order differential equations with continuous forcing terms for the smooth fields, which can be solved accurately by routine numerical methods. Comparisons of solutions determined by the above decomposition, by a direct finite element method, and by numerical inversion of the LaPlace transform solutions, are presented to assess the merits of different numerical approximations. (Author/TRRL)

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/906191809X
• Corporate Authors:

  AA Balkema

  P.O. Box 1675
  Rotterdam,   Netherlands  BR-3000
• Authors:
  • Morland, L W
  • Sandhu, R S
  • Wolfe, W E
• Publication Date: 1988

Media Info

• Features: References;
• Pagination: p. 213-220
• Serial:
  • Publication of: Balkema (AA)
  • Publisher: AA Balkema

Subject/Index Terms

• TRT Terms: Conferences; Finite element method; Flow; Mathematical models; Soil mechanics; Velocity
• ITRD Terms: 6471: Analysis (math); 8525: Conference; 6490: Finite element method; 5430: Flow (fluid); 5773: Flow (soil); 6473: Mathematical model; 5755: Soil mechanics; 5408: Speed
• Subject Areas: Geotechnology; Highways;

Filing Info

• Accession Number: 00492534
• Record Type: Publication
• Source Agency: Transport Research Laboratory
• ISBN: 90-6191-809-X
• Files: ITRD, TRIS
• Created Date: Mar 31 1990 12:00AM