THE CALCULUS OF VARIATIONS APPLIED TO STABILITY OF SLOPES

These notes report a discussion on a paper by J. Revilla and E. Castillo. In that paper the authors presented a method, based on the theory of the calculus of variations, for the determination of the actual safety factor of a slope, and hence a more complete knowledge of the safety of the slope. The contributors to the discussion comment on the technique employed by the authors, and relate the results obtained by the use of the method to those put forward by earlier research workers in their considerations of the same problem. In particular, reference is made to the use by the authors of Janbu's simplified method for the stability presentation for frictionless soil, leading to the introduction of errors in subsequent calculations, and differences between the authors' results and those obtained application of this technique. The authors' reply to the discussion is appended, indicating that further research into the variation technique was in progress, and that the purpose of the paper was to demonstrate the importance of the calculus of variations technique. Janbu's method had been selected as an example of possible application of this technique. /TRRL/

  • Availability:
  • Corporate Authors:

    Institution of Civil Engineers

    One Great George Street, Westminster
    London,   United Kingdom  SW1P 3AA
  • Authors:
    • Barussaud, S
    • Justo, J L
    • Friedli, P
    • Giger, M
    • Garber, M
  • Publication Date: 1978-6

Media Info

  • Features: Figures; References;
  • Pagination: p. 220-227
  • Serial:
    • GEOTECHNIQUE
    • Volume: 28
    • Issue Number: 2
    • Publisher: Thomas Telford Limited
    • ISSN: 0016-8505

Subject/Index Terms

Filing Info

  • Accession Number: 00183409
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Files: ITRD, TRIS
  • Created Date: Dec 29 1978 12:00AM