THE ANALYSIS OF A LOADED HALF-SPACE COMPRISED OF ANISOTROPIC LAYERS

TWO METHODS OF ANALYSIS ARE OUTLINED THAT ARE DIRECTLY APPLICABLE TO 'HALF-SPACE' PROBLEMS IN GEOMECHANICS, I.E., BUILDING FOUNDATIONS, DAMS, EMBANKMENTS AND ROAD AND AIRPORT PAVEMENTS. SOLUTIONS, IN THE FORM OF DEFINITE INTEGRALS, ARE GIVEN FOR DISPLACEMENTS, STRAINS, AND STRESSES IN AN ELASTIC, LAYERED SYSTEM. THE ELASTIC PROPERTIES OF THE MATERIAL COMPRISING THE LAYERS MAY BE ORTHORHOMBIC, CROSS- ANISOTROPIC, OR ISOTROPIC. THE FIRST METHOD USES INTEGRAL TRANSFORMS TO SOLVE PROBLEMS WITH STRESS- DEFINED LOADING CONDITIONS ON THE UPPER SURFACE OF THE LAYERED SYSTEM. PARTICULAR SOLUTIONS OF THE EQUILIBRIUM EQUATIONS ARE USED AS A GUIDE IN THE SELECTION OF THE APPROPRIATE TYPE OF TRANSFORM. THE SECOND METHOD IS AN EXTENSION OF THE FIRST METHOD TO A CLASS OF PROBLEMS WITH MIXED BOUNDARY CONDITIONS. A SPECIAL SOLUTION OF DUAL INTEGRAL EQUATIONS IS GIVEN THAT CAN BE USED TO SOLVE SIMPLE PROBLEMS OF THIS TYPE. /CSIRO/

  • Corporate Authors:

    Commonwealth Scientific Indus Res Org, Australia

    Division of Applied Geomechanics
    East Melbourne, Victoria,   Australia 
  • Authors:
    • Gerrard, C M
    • Harrison, W J
  • Publication Date: 1971

Media Info

  • Serial:
    • Issue Number: 10

Subject/Index Terms

Filing Info

  • Accession Number: 00236649
  • Record Type: Publication
  • Source Agency: Commonwealth Scientific & Industrial Research Org
  • Report/Paper Numbers: Tech Pap
  • Files: TRIS, ATRI
  • Created Date: Jul 17 1973 12:00AM