THE USE OF INTEGRAL TRANSFORMS IN SOLVING THREE DIMENSIONAL PROBLEMS IN GEOMECHANICS

A method is presented which may be used to obtain solutions to geotechnical problems for the case where the soil profile is such that it is similar in one coordinate direction. If this is so, then Fourier transforms may be applied to the field quantities, thus reducing a problem which is essentially three dimensional to one involving only two spatial dimensions. This means great savings in computer storage and data preparation time as well as solution time. Solutions for the field quantities (i.e. Displacements and stresses) at any point within the soil mass are found by applying inverse transforms and the required integration is carried out using numerical means. Examples of the application of the technique to common geotechnical problems are given to illustrate the use of the method. (Author/TRRL)

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/0266352X
• Corporate Authors:

  Elsevier Science Publishers

  Crown House, Linton Road
  Barking, Essex IG11 8JU,   England 
• Authors:
  • Small, J C
  • Wong, HKW
• Publication Date: 1988

Media Info

• Features: References;
• Pagination: p. 199-216
• Serial:
  • COMPUTERS AND GEOTECHNICS
  • Volume: 6
  • Issue Number: 3
  • Publisher: Elsevier
  • ISSN: 0266-352X

Subject/Index Terms

• TRT Terms: Deformation; Dislocation (Geology); Loads; Mathematical models; Soil mechanics; Stresses
• Uncontrolled Terms: Finite strip method
• ITRD Terms: 5595: Deformation; 6490: Finite element method; 5567: Load; 6473: Mathematical model; 5483: Movement; 5755: Soil mechanics; 5575: Stress (in material); 9080: Three dimensional
• Subject Areas: Geotechnology; Highways;

Filing Info

• Accession Number: 00493222
• Record Type: Publication
• Source Agency: Transport Research Laboratory
• Files: ITRD, TRIS
• Created Date: May 31 1990 12:00AM