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Validating the Fatigue Endurance Limit for Hot Mix Asphalt (2010) / Chapter Skim
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Appendix E - Construction of Characteristic Curve
Pages 121-125

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From page 121...
... The prony series representations of the relaxation modulus for the four mixtures are shown in Figure E1. Monotonic Characteristic Curves Pseudo Strain Calculation Monotonic tests (constant crosshead)
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From page 122...
... The damage characteristic curve is obtained by plotting the damage parameter versus the pseudo stiffness. Fatigue Characteristic Curves The following steps are used to construct the characteristic curve for the fatigue tests.
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From page 123...
... Step 3: Calculate Mean Pseudo Strain The mean strains determined in Step 1 are used to calculate the corresponding pseudo strains using the methodology described for the monotonic tests. Step 4: Calculate Cyclic Pseudo Strain The cyclic strain is determined by subtracting the mean strain from total strain.
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From page 124...
... Step 6: Calculate Pseudo Stiffness The pseudo stiffness is defined as: For the first cycle, pseudo stiffness is calculated at each point along the loading path. The secant pseudo stiffness is calculated for subsequent cycles to represent the change in slope of the stress- pseudo strain loops: where εRmax is the maximum pseudo strain in a cycle and σmax is the stress corresponding to εRmax.
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From page 125...
... Figure E7. Stress-vs-strain plots for specimen no.
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Key Terms

  • pseudo strain
  • relaxation modulus
  • initial pseudo
  • pseudo strains
  • maximum pseudo

  • characteristic curve
  • prony series
  • cyclic pseudo
  • modulus master
  • storage modulus

  • mean strain
  • modulus obtained
  • relaxation times
  • monotonic tests
  • characteristic curves

  • loading cycle
  • normalized pseudo
  • dynamic modulus
  • damage characteristic
  • damage parameter

  • linear portion
  • fatigue characteristic
  • strain calculation
  • strain observed
  • corresponding pseudo

  • relaxation curve
  • strains determined
  • calculate normalized
  • initial linear
  • cycle using


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