Table 1 Material properties and constants used in ABAQUS model.

From: An integrated physics-guided machine learning approach for predicting asphalt concrete fracture parameters

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