STRESS DISTRIBUTION AROUND UNDERGROUND OPENINGS IN ENGINEERING APPLICATIONS

THE THEORETICAL WORK ON THIS SUBJECT FOCUSES ON THE DETERMINATION OF THE STRESSES AROUND OPENINGS LOCATED IN A HOMOGENEOUS, ISOTROPIC AND LINEARLY ELASTIC PLATE. USE IS MADE OF THE MUSKHELISHVILI'S COMPLEX VARIABLE METHOD FOR THE SOLUTION OF ELASTOSTATIC PROBLEMS. TECHNICAL INTEREST IN ROCK MECHANICS CENTERS ON OPENINGS OF COMPLICATED GEOMETRICAL SHAPES AND WITH CORNERS' FILLETS OF ASSIGNED RADII. THUS, THE NEED OF GENERALIZING THE PROBLEM IS DERIVED IN ORDER TO COPE WITH OPENINGS OF ANY GIVEN SHAPE. THIS IS ACCOMPLISHED IN THE PRESENT PAPER BY THE MUSKHELISHVILI'S COMPLEX VARIABLE METHOD DEVELOPED IN A FORM SUITED TO NUMERICAL COMPUTATION. THE CONFORMAL MAPPING OF THE REGION CONTAINING THE OPENING IS PERFORMED ONTO THE INSIDE OF THE UNIT CIRCLE. THE STRESSES AT EACH POINT OF THE PLATE ARE DERIVED FROM THE TWO MUSKHELISHVILI'S COMPLEX POTENTIALS DEVELOPED IN THE FORM OF A POWER SERIES. THE USEFULNESS OF THE METHOD LIES IN THE ABILITY OF A DIGITAL COMPUTER TO PERFORM EXPEDIENTLY A LARGE NUMBER OF CALCULATIONS, SUCH AS REQUIRED IN THE SOLUTION OF SIMULTANEOUS EQUATIONS. /AUTHOR/

  • Supplemental Notes:
    • Vol 2, No 4-40, PP 675-678, 2 FIG, 1 TAB, 6 REF
  • Authors:
    • Barla, G
  • Publication Date: 1970

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Filing Info

  • Accession Number: 00236212
  • Record Type: Publication
  • Files: TRIS
  • Created Date: May 22 1972 12:00AM