ANALYSIS OF THE CONSOLIDATION OF LAYERED SOILS USING THE METHOD OF LINES

In this report a method for the analysis of a horizontally stratified elastic soil is proposed. The method is based on the observation that in many situations if the surface load can be expressed in terms of a Fourier series, then the field quantities can also be expressed in terms of a Fourier series and it is possible to determine separately the field quantities corresponding to each Fourier component of load. This has the effect of reducing the set of partial differential equations of consolidation to a set of ordinary differential equations, with depth below the surface as the only independent variable. The resulting set of ordinary equations can be shown to be equivalent to a variational principle, and this can be solved using the finite element technique or, equivalently, the method of lines. Once the solution due to each harmonic component is found, the results can be superimposed to synthesize the original loading. The reduction of partial differential equations to ordinary differential equations drastically reduces the number of nodal variables and consequently the dimension of the stiffness matrix. This leads to considerable computational savings and leads to the possibility of implementation on a mini-computer. (A) (TRRL)

  • Corporate Authors:

    University of Sydney

    School of Civil Engineering, Parramatta Road
    Sydney, New South Wales  Australia  2006
  • Authors:
    • Small, J C
    • BOOKER, J R
  • Publication Date: 1979-3

Media Info

  • Features: Figures; References;
  • Pagination: 34 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00310579
  • Record Type: Publication
  • Source Agency: ARRB Group Limited
  • Report/Paper Numbers: Res Rpt. No R342 Monograph
  • Files: ITRD, TRIS, ATRI
  • Created Date: Jul 22 1980 12:00AM