UNDERGROUND STRESS ANALYSIS USING MAPPED INFINITE ELEMENTS. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3

In the large spectrum of practical engineering geomechanical problems, there is always a problem about how to treat unbounded continua in the most rational way in order to get accurate results. This paper considers the use of mapped infinite elements in conjunction with finite elements in both linear and non-linear stress analysis. It summarises previous research on the use of mapped infinite elements in the linear elastic and non-linear stress analysis. Material non-linear behaviour is described by Perzyna's elasto-visco-plastic model in widely accepted standard finite element formulation. Additional attention is given to gravity loading and its common action with other loadings. The gravity loading can be treated in two different ways: (a) by evaluating element nodal forces from the actual values of gravity stresses in causs points or element volume weight; (b) by incorporating gravity stress from causs points directly in the total stress vector as initial ones. In the linear and non-linear analysis when the problem is discretized only with finite elements both strategies give the same results. Discretizing the half-space under consideration with infinite elements too, only the second strategy gives the correct results. The applicability of the suggested technique is examined and the benefits of employing proposed finite/infinite element approach in both linear and non-linear analysis is then illustrated by the solution of few unbounded geomechanical problems. (TRRL)

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  • Corporate Authors:

    AA Balkema

    P.O. Box 1675
    Rotterdam,   Netherlands  BR-3000
  • Authors:
    • Marovic, P
    • Damjanic, F B
  • Publication Date: 1988

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  • Accession Number: 00492614
  • Record Type: Publication
  • Source Agency: Transport Research Laboratory
  • ISBN: 90-6191-809-X
  • Files: ITRD, TRIS
  • Created Date: Mar 31 1990 12:00AM