ANALYSIS OF STRESSES AND DISPLACEMENTS IN A THREE-LAYERED VISCOELASTIC SYSTEM

THE ANALYSIS IS PRESENTED OF A THREE-LAYER LINEAR VISCOELASTIC HALF-SPACE UNDER A UNIFORMLY DISTRIBUTED CIRCULAR LOAD. SUCH AN ANALYSIS IS AN ESSENTIAL STEP IN THE DEVELOPMENT OF A RATIONAL METHOD OF DESIGN FOR FLEXIBLE PAVEMENTS SINCE SUCH PAVEMENT SYSTEMS RESPOND IN A MARKEDLY VISCOELASTIC (TIME-DEPENDENT) FASHION. THE SOLUTION IS OBTAINED FOR THE NORMAL STRESS, RADIAL STRESS, SHEAR STRESS, VERTICAL DEFLECTION AND RADIAL DISPLACEMENT AT ANY POINT WITHIN THE HALF-SPACE. THESE SOLUTIONS ARE OBTAINED BY REPLACING THE ELASTIC CONSTANTS IN THE ELASTIC SOLUTION BY INTEGRAL OPERATORS DERIVED FROM THE HEREDITARY FORM OF THE LINEAR VISCOELASTIC CONSTITUTE EQUATIONS. THIS SUBSTITUTION RESULTS IN INTEGRAL EQUATIONS INVOLVING MULTIPLE CONVOLUTION INTEGRALS OF THE TIME-DEPENDENT QUANTIFIES. TWO TECHNIQUES ARE PRESENTED FOR EVALUATING THESE MULTIPLE CONVOLUTION INTEGRALS AND THEN AN ASSOCIATED TECHNIQUE IS PRESENTED FOR NUMERICAL SOLUTION OF THE INTEGRAL EQUATIONS. SAMPLE NUMERCIAL RESULTS ARE PRESENTED. THE TECHNIQUES USED IN THIS ANALYSIS WERE SELECTED FOR THEIR EASE OF APPLICATION AND BECAUSE THEY ALLOW REALISTIC REPRESENTATIONS OF THE VISCOELASTIC BEHAVIOR OF REAL MATERIALS OVER BROAD TIME INTERVALS. /AUTHOR/

  • Supplemental Notes:
    • Hpr-1/1/, BPR-STATE-R-11-3, STATE-BPR-13
  • Corporate Authors:

    Massachusetts Institute of Technology

    Department of Civil Engineering, 77 Massachusetts Avenue
    Cambridge, MA  USA  02139
  • Authors:
    • Moavenzadeh, F
    • Ashton, J E
  • Publication Date: 1967-8

Subject/Index Terms

Filing Info

  • Accession Number: 00205351
  • Record Type: Publication
  • Source Agency: Bureau of Public Roads /US
  • Files: TRIS
  • Created Date: Jan 16 1994 12:00AM