A Mechanistic–Empirical Model for Top–Down Cracking of Asphalt Pavements Layers (2018) / Chapter Skim
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B-1 APPENDIX B INVERSE APPROACH TO DERIVE COMPLEX MODULUS GRADIENT OF ASPHALT FIELD CORES The objective of this appendix is to determine the complex modulus based on the unique characteristics of field cores.
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B-2 2) Utilize the elastic theory along with the measured load/strains to determine the modulus gradient parameters.
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B-3 at the top is negative (compressive) , so it is subtracted from the strain at the top as in Eq.
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B-4 Table B-1. Results of Calculations of Modulus Gradient of a Field Core Specimen (8 Months Aged at 30˚C)
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B-5 Using the Laplace transform, the elastic forms in Eqs.
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B-6 The final expression of the complex modulus at the bottom is shown in Eq.
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B-7 Determination of complex modulus using complex n and k It should be mentioned that the calculations of the complex modulus above are based on the approximated results of the Laplace transform of n and k by Eqs.
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B-8 Once the dynamic modulus master curve is determined, the relaxation modulus can also be constructed according to their relationships shown in Eqs.
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B-9 this report, so using Eq.
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B-10 Figure B-4. Modulus gradient of 8 months and 22 months field core specimens at three temperatures References: 1.
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