APPLICATION OF THE CALCULUS OF VARIATIONS TO THE VERTICAL CUT OFF IN COHESIVE FRICTIONLESS SOIL

The collapse height of a vertical cut off is computed by use of the variational calculus assuming the existence of a real slip line at collapse. A class of lines containing the real slip line is defined by total and local equilibrium conditions of the limit stress state. The extremal of the class is found to be an involute. Verification of the solution shows that the extremal gives either an unsafe estimate of the collapse height or corresponds to no extremum at all. These disappointing results are a consequence of the inadequate formulation of slope stability problems, when slip lines are computed by the calculus of variations. (Author/TRRL)

Media Info

  • Features: Figures; References;
  • Pagination: p. 1-16
  • Serial:
    • GEOTECHNIQUE
    • Volume: 30
    • Issue Number: 1
    • Publisher: Thomas Telford Limited
    • ISSN: 0016-8505

Subject/Index Terms

Filing Info

  • Accession Number: 00316876
  • Record Type: Publication
  • Source Agency: Transport Research Laboratory
  • Files: ITRD, TRIS
  • Created Date: Dec 30 1980 12:00AM