Table 1 Material properties and constants used in ABAQUS model.
Parameter type | Property/coefficient | Value | Unit | Temperature (K/°C) | Notes |
|---|---|---|---|---|---|
Material name | – | Python Generated Asphalt Mat | – | – | Defined in input file |
Density | ρ | 2.4 × 10⁻⁹ | tonne/mm³ (≈ 2400 kg/m³) | 293 K (20 °C) | Standard asphalt mixture density |
Elastic modulus | E | 1000 | MPa | 293 K (20 °C) | Long-term modulus |
Poisson’s ratio | ν | 0.3 | – | 293 K (20 °C) | Typical for asphalt |
Viscoelastic (Prony series) | g₁ | 0.022834 | – | – | Time-domain coefficients |
k₁ | 0.000969 | – | – | ||
τ₁ | 0.02007 | s | – | ||
g₂ | 0.022945 | – | – | ||
k₂ | 0.002201 | – | – | ||
τ₂ | 0.045604 | s | – | ||
g₃ | 0.023056 | – | – | ||
k₃ | 0.003433 | – | – | ||
τ₃ | 0.071138 | s | – | ||
g₄ | 0.023167 | – | – | ||
k₄ | 0.004666 | – | – | ||
τ₄ | 0.096673 | s | – | ||
g₅ | 0.023278 | – | – | ||
k₅ | 0.005898 | – | – | ||
τ₅ | 0.122207 | s | – | ||
g₆ | 0.023389 | – | – | ||
k₆ | 0.007131 | – | – | ||
τ₆ | 0.147741 | s | – | ||
g₇ | 0.0235 | – | – | ||
k₇ | 0.008363 | – | – | ||
τ₇ | 0.173275 | s | – | ||
g₈ | 0.023612 | – | – | ||
k₈ | 0.009595 | – | – | ||
τ₈ | 0.198809 | s | – | ||
g₉ | 0.023723 | – | – | ||
k₉ | 0.010828 | – | – | ||
τ₉ | 0.224344 | s | – | ||
g₁₀ | 0.023834 | – | – | ||
k₁₀ | 0.01206 | – | – | ||
τ₁₀ | 0.249878 | s | – | ||
Physical constants | Absolute zero reference | −273.15 | °C | – | Defined in input file |