Appendix B - An Investigation of the Endurance Limit of Hot-Mix Asphalt Concrete - Asphalt - Pavement & Materials - Pavements

An Investigation of the Endurance Limit of Hot-Mix Asphalt Concrete Using a New Uniaxial Fatigue Test Protocol
Final Report

The code given below describes the various events shown in the plots on the pages that follow:

Temperature:
No. 1	T₀	@ 1.4 million cycles	Indicates out of control. Data after this point is invalid.
No. 2	T_i	@ 1.9 million cycles	Indicates in control. Data after this point is valid.
No. 3	T₀	@ 4.0 million cycles	Indicates out of control. Data after this point is invalid.
No. 4	T_i	@ 4.5 million cycles	Indicates in control. Data after this point is valid.
No. 5	T₀	@ 9.9 million cycles	Indicates out of control. Data after this point is invalid.
No. 6	T_i	@ 11.9 million cycles	Indicates in control. Data after this point is valid.
Attempt to Apply Protocol:
No. 7	A₂	@ 1.89 million cycles	Second attempt at running test, Start Stage I.
No. 8	A₂	@ 4.51 million cycles	Third attempt at running test, Start Stage I.
Start Stage:
No. 9	S_II	@ 0.85 million cycles	Start of Stage II (First Attempt)
No. 10	S_II	@ 2.67 million cycles	Start of Stage II (Second Attempt)
No. 11	S_II	@ 5.18 million cycles	Start of Stage II (Third Attempt)
No. 12	S_III	@ 7.83 million cycles	Start of Stage III (Third Attempt)
Strain Baseline Adjusted:
No. 13	σ₁	@ 1.86 million cycles	Strain baseline adjusted.
No. 14	σ₂	@ 4.49 million cycles	Strain baseline adjusted.
Equipment Issues:
No. 15	P₁	@ 1.65 million cycles	Strain baseline adjusted.
No. 16	P₂	@ 4.40 million cycles	Strain baseline adjusted.

Complex Modulus |E*| (GPa) / Load Cycles (millions) / Strain Amplitude

Phase Angle (degrees) / Load Cycles (millions) / Strain Amplitude (µσ)

Temperature (°C) / Load Cycles (millions)

Strain Amplitude (µ-strain) / Load Cycles (millions)

Strain Baseline (µ-strain) / Load Cycles (millions)

The code given below describes the various events shown in the plots on the pages that follow:

Start Stage:
No. 1	S_II	@ 2.63 million cycles	Stage II started.
No. 2	S_III	@ 7.97 million cycles	Stage III started.
Equipment Issues:
No. 3	DA1	@ 4.50 million cycles	Data acquisition lost, test continued.
No. 4	DA2	@ 7.16 million cycles	Data acquisition regained.
Strain Baseline Adjusted:
No. 5	σ₁	@ 1.83 million cycles	Strain baseline adjusted.
No. 6	σ₂	@ 7.17 million cycles	Strain baseline adjusted.

Complex Modulus |E*| (GPa) / Load Cycles (millions) / Strain Amplitude

Phase Angle (degrees) / Load Cycles (millions) / Strain Amplitude (µe)

Temperature (°C) / Load Cycles (millions)

Strain Amplitude (µ-strain) / Load Cycles (millions)

Strain Baseline (µ-strain) / Load Cycles (millions)

The code given below describes the various events shown in the plots on the pages that follow:

Temperature:
No. 1	T₀	@ 4.52 million cycles	Indicates out of control. Data after this point is invalid.
No. 2	T_i	@ 4.52 million cycles	Indicates in control. Data after this point is valid.
Attempt to Apply Protocol:
No. 3	A₂	@ 4.52 million cycles	Second attempt at running test, Start Stage I.
Start Stage:
No. 4	S_II	@ 3.54 million cycles	Start of Stage II (First Attempt).
No. 5	S_II	@ 6.14 million cycles	Start of Stage II (Second Attempt).
No. 6	S_III	@ 10.37 million cycles	Start of Stage III (Second Attempt).
Strain Baseline Adjusted:
No. 7	σ₁	@ 4.55 million cycles	Strain baseline adjusted.
No. 8	σ₂	@ 4.66 million cycles	Strain baseline adjusted.
No. 9	σ₃	@ 5.87 million cycles	Strain baseline adjusted.

Complex Modulus (Gpa) / Load Cycles (millions) / Strain Amplitude ( µe )

Phase Angle (degrees) / Load Cycles (millions) / Strain Amplitude (µe)

Temperature °C / Load Cycles (millions)

Strain Amplitude (µ-strain) / Load Cycles (millions)

Strain Baseline (µ-strain) / Load Cycles (millions)

The code given below describes the various events shown in the plots on the pages that follow:

Attempt to Apply Protocol:
No. 1	A₂	@ 3.23 million cycles	Second attempt to apply protocol.
Start Stage:
No. 2	S_II	@ 1.83 million cycles	Start of Stage II in 1st attempt.
No. 3	S_II	@ 4.10 million cycles	Start of Stage II for 2nd attempt.
No. 4	S_III	@ 8.35 million cycles	Start of Stage III for 2nd attempt.
Strain Baseline Adjusted:
No. 5	σ₁	@ 1.82 million cycles	Strain baseline adjusted.
No. 6	σ₂	@ 2.44 million cycles	Strain baseline adjusted.
No. 7	σ₃	@ 3.18 million cycles	Strain baseline adjusted.
No. 8	σ₄	@ 5.63 million cycles	Strain baseline adjusted.
No. 9	σ₅	@ 5.80 million cycles	Strain baseline adjusted.