A THEORETICAL ANALYSIS OF A FLEXIBLE PAVEMENT MODEL

A METHOD OF ANALYSIS IS PRESENTED FOR THE INVESTIGATION OF DEVELOPED STRESSES, PORE PRESSURES, AND DISPLACEMENTS IN A PAVEMENT STRUCTURE CONSISTING OF A FLEXIBLE PAVEMENT SUPPORTED ON A WATER-SATURATED SOIL FOUNDATION. A MATHEMATICAL MODEL OF THE PAVEMENT STRUCTURE IS CONSTRUCTED USING IDEAL MATERIALS. THE FLEXIBLE PAVEMENT SURFACE IS REPLACED BY AN IMPERMEABLE, LINEAR VISCOELASTIC, THIN PLATE OF INFINITE EXTENT IN THE MODEL. A POROUS ELASTIC SOLID SATURATED WITH AN INCOMPRESSIBLE, VISCOUS FLUID IS USED TO SIMULATE THE SATURATED SOIL FOUNDATION. A UNIFORM CIRCULAR LOAD IS PLACED AT THE PLATE SURFACE TO APPROXIMATE A VEHICLE WHEEL LOAD. THE MATHEMATICAL MODEL IS ANALYZED TO OBTAIN AN APPROXIMATION OF THE DEFORMATION THAT WOULD OCCUR IF THE REAL PAVEMENT STRUCTURE WERE SUBJECTED TO A UNIFORM CIRCULAR LOAD. ANALYSIS OF THE MODEL IS REDUCED TO THE SOLUTION OF A LINEAR INITIAL-BOUNDARY VALUE PROBLEM. THE INITIAL-BOUNDARY VALUE PROBLEM IS SOLVED USING ITERATED LAPLACE-HANKEL INTEGRAL TRANSFORMATIONS. THE TRANSFORMED SOLUTION IMAGES ARE INVERTED TO OBTAIN PHYSICALLY MEANINGFUL SOLUTIONS TO THE PROBLEM USING NUMERICAL METHODS. THE HANKEL TRANSFORM INVERSION IS PERFORMED APPROXIMATELY BY NUMERICAL INTEGRATION YIELDING VALUES OF THE LAPLACE TRANSFORM OF THE SOLUTION AT DISCRETE POINTS. THE LAPLACE TRANSFORM DATA IS THEN USED TO CONSTRUCT A GENERALIZED FOURIER SERIES APPROXIMATIO OF THE TIME-DEPENDENT SOLUTION. A COMPUTER PROGRAM WAS DEVELOPED THAT UTILIZES THE INVERSION ALGORITHM TO INVERT THE TRANSFORMED SOLUTION FUNCTIONS. STRESSES AND DISPLACEMENT AT ANY GEOMETRIC POINT IN THE FLEXIBLE PAVEMENT STRUCTURE MAY BE OBTAINED AS FUNCTIONS OF TIME USING THE DEVELOPED COMPUTER PROGRAM. /AUTHOR/

  • Corporate Authors:

    Michigan Department of State Highways

    State Highways Building, PO Drawer K
    Lansing, MI  USA  48904

    Federal Highway Administration

    1200 New Jersey Avenue, SE
    Washington, DC  USA  20590
  • Authors:
    • Marvin, E L
  • Publication Date: 0

Subject/Index Terms

Filing Info

  • Accession Number: 00205382
  • Record Type: Publication
  • Source Agency: Federal Highway Administration
  • Report/Paper Numbers: 67 F-93
  • Files: TRIS, USDOT, STATEDOT
  • Created Date: Aug 15 1971 12:00AM