Modeling of the Complex Modulus of Asphalt Mastic with Biochar Filler Based on the Homogenization and Random Aggregate Distribution Methods

Table 5

Relative differences in complex modulus (%).

Frequency range	Complex modulus	Mastic (40%)	Mastic (80%)	Mastic (100%)
Low frequencies (10^−4 Hz∼10^−3 Hz)	Dynamic modulus	10.99	41.00	56.53
	Phase angle	1.01	0.37	0.51
High frequencies (10^3 Hz∼10^4 Hz)	Dynamic modulus	3.50	25.02	33.98
	Phase angle	10.00	9.50	12.62
Whole frequencies (10^−4 Hz∼10^4 Hz)	Dynamic modulus	12.75	38.93	53.92
	Phase angle	2.97	2.61	3.47