ASSESSMENT OF A NEW CLASS OF IMPLICIT INTEGRATION SCHEMES FOR A CONE-CAP PLASTICITY MODEL. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3

A generalized closest point projection algorithm (gcppm) is developed for the integration of constitutive relations in incremental elastic-plastic theory. This generalizes the concept of "closest point projection" in complementary elastic energy in the sense that an intermediate trial stress is projected. For smooth yield criteria the solution is similar to that of gmr (generalized midpoint rule). Non-associated volumetric strains and sharp corners are included in the analysis. A major advantage provided by this method is that the interpretation of the solution is quite transparent in the presence of corners. The method is applied to a two-invariant cone-cap model and has proved to perform very well, even for the corner solutions. The numerical results confirm previous experience with the gmr method that the backward eular scheme (be) (alpha = 1) is most accurate for large strain increments while midpoint projection (alpha = 1/2) is preferred for small and moderate strain increments. (TRRL)

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  • Corporate Authors:

    AA Balkema

    P.O. Box 1675
    Rotterdam,   Netherlands  BR-3000
  • Authors:
    • Runesson, K
    • Pramono, E
    • Sture, S
    • AXELSSON, K
  • Publication Date: 1988

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  • Accession Number: 00492549
  • Record Type: Publication
  • Source Agency: Transport Research Laboratory
  • ISBN: 90-6191-809-X
  • Files: ITRD, TRIS
  • Created Date: Mar 31 1990 12:00AM