THE NUMERICAL DETERMINATION OF STRESSES AND DEFORMATIONS IN ROCK TAKING INTO ACCOUNT DISCONTINUITIES

NUMERICAL METHODS AND COMPUTERS HAVE MADE IT POSSIBLE TO ATTACK MANY PROBLEMS IN WHICH ANALYTICAL SOLUTIONS SEEM INTRACTABLE. THIS PAPER OUTLINES AN ADDITION TO THE FINITE ELEMENT METHOD OF STRESS AND DEFORMATION ANALYSIS THAT TAKES INTO ACCOUNT DISCONTINUITIES AND MATERIAL STRENGTH. THE METHOD COMPARES THE STATE OF STRESS FROM THE ELASTIC SOLUTION WITH GIVEN STRENGTH CONDITIONS; THE STATE OF STRESS IS ADJUSTED ACCORDING TO KINEMATIC AND GEOMETRIC CHANGES WHICH RESULT FROM THE MECHANISM OF FAILURE. THE ADJUSTED STATE OF STRESS GENERALLY IS NO LONGER IN EQUILIBRIUM WITH THE ORIGINAL APPLIED LOADS; THE DIFFERENCES BETWEEN ORIGINAL LOADS AND THOSE THAT WOULD BE IN EQUILIBRIUM WITH THE ADJUSTED STATE OF STRESS IS INTRODUCED AS A SET OF CORRECTIVE EXTERNAL LOADS, AND A SEQUENCE OF TEST, CORRECTION, AND STRESS TRANSFER TO SURROUNDING AREAS IS REPEATED UNTIL A STATE OF STRESS IS FOUND THAT SATISFIES BOTH THE FAILURE CONDITIONS AS WELL AS THE CONDITIONS OF EQUILIBRIUM. THE METHOD HAS BEEN PROGRAMMED FOR TWO- DIMENSIONAL PROBLEMS AND FOR MATERIALS IN WHICH THE STRENGTH PROPERTIES CAN BE REPRESENTED BY MEANS OF A MOHR ENVELOPE. DETAILS OF THE METHOD ARE GIVEN IN A PREVIOUS PAPER BY THE AUTHOR (IN GERMAN). AN EXAMPLE IS GIVEN OF THE STRESS DISTRIBUTION DUE TO A STRIP LOAD APPLIED TO GROUND FISSURED BY A JOINT SYSTEM. /AMR/

  • Supplemental Notes:
    • Vol 2, No 1, PP 1-16
  • Authors:
    • Malina, H
  • Publication Date: 1970-5

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Filing Info

  • Accession Number: 00235882
  • Record Type: Publication
  • Source Agency: Applied Mechanics Review
  • Files: TRIS
  • Created Date: Apr 25 1971 12:00AM