FAILURE CRITERIA AND DEFORMATION MODULI FOR GRANULAR ROCKS - UNIFORM SPHERES IN A SINGLE MATERIAL MATRIX

ANALYTICAL SOLUTIONS OF STRESS FOR COMPOSITE MATERIAL ARE OBTAINED BY MEANS OF MATHEMATICAL THEORY OF ELASTICITY ASSUMING SPHERICAL INCLUSIONS AND UNIFORM DISPLACEMENTS OF BOUNDARIES OF REPRESENTATIVE ELEMENTS. THESE SOLUTIONS SHOW THAT THE FAILURE CRITERIA OF COMPOSITE MATERIALS ARE COMPLICATED FUNCTIONS OF THE ELASTIC MODULI OF MATRIX, INCLUSION, AND COMPOSITE AND THE VOLUME RATIO OF MATRIX AND INCLUSION. COMBINING THIS THEORY WITH GRIFFITH'S THEORY GIVES A NEW CRITERION FOR BRITTLE FAILURE OF GRANULAR ROCK. THIS THEORY APPEARS TO PROVIDE A NEARLY PERFECT MODEL FOR GRANULAR ROCKS, INASMUCH AS: (1) MOST ASSUMPTIONS USED IN OTHER CRITERIA ARE ELIMINATED, (2) MOST PHENOMENA IN FAILURE OF BRITTLE ROCKS CAN BE DESCRIBED THEORETICALLY, AND (3) IT IS THE MOST LOGICAL SO FAR. A SIMPLE FORMULA THAT RELATES THE ELASTIC MODULI OF INCLUSION AND MATRIX TO THE EFFECTIVE MODULI OF THE COMPOSITE IS DERIVED, AND A COMPARISON WITH EXPERIMENTAL DATA INDICATES THAT IT APPROXIMATES THE VALUE BETTER THAN OTHER APPROXIMATION FORMULAS. /AUTHOR/

  • Supplemental Notes:
    • 106 Pp, 43 FIG, 2 TAB, 67 REF, 4 APP
  • Corporate Authors:

    University of Missouri, Rolla

    Rock Mechanics and Explosives Research Center
    Rolla, MO  USA  65409
  • Authors:
    • Ko, K C
    • Hass, C J
    • Clark, G B
  • Publication Date: 1970-12

Subject/Index Terms

Filing Info

  • Accession Number: 00235877
  • Record Type: Publication
  • Files: TRIS
  • Created Date: May 16 1971 12:00AM