A Mechanistic–Empirical Model for Top–Down Cracking of Asphalt Pavements Layers (2018) / Chapter Skim
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C-1 APPENDIX C DERIVATION AND VALIDATION OF QUASI-ELASTIC SIMULATION OF VISCOELASTICITY The objective of this appendix is to propose the concept of "quasi-elastic simulation of viscoelasticity" to enable accurate viscoelastic-to-elastic conversion using readily available material properties for asphalt pavement design.
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C-2 frequency dependent. Therefore, the viscoelastic stress is elastically related to the resulting pseudo strain at a specific frequency but not at others.
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C-3 the representative elastic modulus starts with a haversine-shaped strain pulse as shown in Figure C-1. The mathematical form of the strain pulse is: 0 sin 1 2 2 h h t t (C-5)
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C-4 Therefore, the representative elastic modulus, denoted reE in this report, as the ratio of the stress amplitude to the strain amplitude, is calculated by: *
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C-5 * NLVEE is calculated for representative load cycles (1st-10th, 50th-59th, 100-109th, 150th-159th, and 190th-199th)
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C-6 the number "4%" or "7%" represents the air void content; the number of "0", "3", or "6" represents the aging period. In the controlled-strain RDT test, the dynamic modulus at the endurance limit, i.e.
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C-7 Table C-1. Laboratory Test Parameters and Results for Validation of Quasi-Elastic Simulation Controlled-Strain RDT Test Test Parameters 1 f Hz; 1pt s; 6 .28 rad/s; temperature = 20°C Test Results Mixture Type *
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C-8 Figure C-3. Comparison of Critical Nonlinear Viscoelastic Properties and Representative Elastic Moduli References: 1.
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