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Effect of Matric Suction on Resilient Modulus
of Compacted Recycled Pavement Material
Kongrat Nokkaew (Presenter)
James M. Tinjum, Tuncer B. Edil
Mid-Continent Transportation
Research Symposium 2013
Research Motivations
Recycled pavement material (RPM)
crushed asphalt surface mixed with underlying base course
(i.e. subgrade and subbase)
Advantages
Excellent mechanical properties
(e.g. high modulus, low moisture susceptibility)
Life-cycle benefit
(e.g. low transportation needs, no landfill cost)
Environment-friendly
(reducing green house gas emissions, energy
and natural aggregate consumption)
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 2
Premature failure due to moisture in base layer
Base course:
Moisture increases, modulus decreases
Few studies on modulus-moisture for RPM
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 3
Unsaturated Zone
Ground water table
Saturated Zone
“Pavements are compacted near optimum
water content unsaturated, and place above
the ground water table. As a result, Pavement
are unsaturated most of service life”
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 4
Soil-Water Characteristic Curves (SWCC)
Soil Particle
Volumetric Water
Content (q)
𝜃𝑠
𝜃𝑟
Air entry pressure ya
Menisci water
Residual volumetric
water content
Soil Suction in log scale
A relationship between soil suction and volumetric moisture
content/degree of saturation
Matric Suction = negative pore water pressure (Ua – Uw)
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 5
Impact of moisture on Mr in the MechanisticEmpirical Design Guide (M-EPDG)
Adjusting factor determined from degree at optimum degree
of saturation
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 6
Objectives
To evaluate the influence of matric suction on Mr for
compacted RPM in comparison to conventional crushed
limestone
To established a model for predicting Mr from matric suction
and the soil-water characteristic curve (SWCC)
To compare Mr from proposed model to those from M-EPDG
equation
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 7
Background
Resilient modulus (Mr)
Primary input for Mechanistic-Empirical Pavement Design
Guide (M-EPDG)
Impact to all quality and performance of pavement
d
Mr
r
Where, d : deviatoric stress
r : recoverable strain
Summary resilient modulus (SRM)
Mr representing stress state in the filed
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 8
SWCC fitting equation used in M-EPDG
𝜓
𝑆 − 𝑆𝑟
𝜓𝑟
Θ=
= 1−
106
1 − 𝑆𝑟
𝑙𝑛 1 +
𝜓𝑟
𝑙𝑛 1 +
1
𝑙𝑛 𝑒 + ψ/a
𝑛
𝑚
where Θ = effective degree of saturation; 𝑆 = degree of
saturation; 𝑆𝑟 = residual degree of saturation; 𝜓 is soil suction;
𝜓𝑟 , a, 𝑛, and 𝑚 are fitting parameters; and 𝑒 is the base of the
natural logarithm
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 9
SWCC parameters estimated by the M-EPDG
equation
−0.751
0.8627𝑑60
𝛼=
6.895
𝑚 = 0.1772𝑙𝑛𝑑60 + 0.7734
n = 7.5
𝜓𝑟
1
=
𝛼
𝑑60 + 9.7𝑒 −4
where d60 is particle size in mm at percent finer 60%
SWCC parameter estimated based on d60
Parameter n: fixed at 7.5
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 10
Materials
100
RPM-MI
Limestone-WI
Percent Finer (%)
80
60
RPM-MI
40
Basic properties and soil Classification
20
USCS designation
AASHTO designation
GW
A-1-b
LimestoneWI
GP-GM
A-1-a
Unit weight (kN/m3)
20.3
20.2
Water content (opt) (%)
Percent absorption
6.4
1.7
8.1
2.5
Properties
0
100
Limestone-WI
10
1
0.1
0.01
Particle Size (mm)
Grain size distributions
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
RPM-MI
Slide No. 11
Methods
Hanging column test
Large-scale testing cell
(305 mm x 76 mm)
Vacuum aspirator
(y, 25 - 80 kPa)
Large-scale testing cell
Matric suction:
Hanging column (y, 0.05 to 25 kPa)
Hanging column
(y, 0.05 - 25 kPa)
University of Wisconsin-Madison
Air aspirator (y, 25 to 80 kPa)
Mid-Continent Transportation
Research Symposium 2013
Slide No. 12
Mr test with suction control
Air Aspirator
1 kPa to 75 kPa
Plunger
Air Pressure
Transducer
External LVDT
Latex membrane
Water Pressure
Transducer
Internal LVDT
Specimen
Permeable Geotextile
Bottom Platen
with Ceramic Plate
Outflow Reading
Test performed according to NCHRP 137A Procedure Ia
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Modified Bottom Platenwith ceramic plate
Slide No. 13
Mr test with suction control (Cont.’)
Material preparation:
Type I material (150 mm in diameters and 305 mm in height)
Prepared at optimum wn and 95% of rd (modified Proctor effort)
Sample saturation:
To remove residual suction from sample compaction
Assumed to be saturated when K is constant and outflow
is more than 3 pore volume of flow (PVF)
Suction conditioning
y supplied by vacuum aspirator
y verification by checking the equilibrium outflow water
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 14
Proposed resilient modulus model
Mr prediction for unsaturated base course (Liang et al. 2008)
𝜓𝑎
𝜒=
𝑢𝑎 − 𝑢𝑤
where
𝑘2
𝜏𝑜𝑐𝑡
+1
𝑝𝑎
𝑘3
S
𝑀𝑟 = 𝑘1 𝑃𝑎
𝜃 + 𝜒𝜓
𝑃𝑎
Log y
0.55
(Khalili and Khabbaz 1998)
𝑘1 , 𝑘2 , 𝑘3 = fitting parameters; 𝜓 = matric suction;
𝑝𝑎 = atmospheric pressure (101 kPa); 𝜃 = bulk stress;
and 𝜏𝑜𝑐𝑡 = octahedral shear stress; 𝜒 is Bishop’s effective
stress parameter
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 15
Proposed resilient modulus model (Cont.’)
assumed that
𝑆 − 𝑆𝑟
𝜒 = Θ𝜅 =
1 − 𝑆𝑟
𝜅
(Vanapalli and Fredlund 2000)
where Θ = effective degree of saturation; 𝜅 = fitting parameter;
𝑆 = degree of saturation; 𝑆𝑟 = residual degree of saturation
𝑀𝑟 = 𝑘1 𝑃𝑎
𝜃 + Θ𝜅 𝜓𝑚
𝑃𝑎
𝑘2
𝜏𝑜𝑐𝑡
+1
𝑝𝑎
𝑘3
For summary resilient modulus (𝜃 = 208 kPa and 𝜏𝑜𝑐𝑡 = 48.6 kPa).
𝑆𝑅𝑀 = 𝑘𝐴
University of Wisconsin-Madison
208 + 𝛩𝜅 𝜓
𝑃𝑎
𝑘𝐵
Mid-Continent Transportation
Research Symposium 2013
Slide No. 16
Results
SWCC of studied material fitted with Fredlund and
Xing (1994) Model
1
RPM-MI (R2 = 0.96)
Limestone-WI (R 2 = 0.98)
Degree of Saturation (S)
0.8
Unimodal SWCC for RPM-MI, bimodal
SWCC for Limestone-WI
ya < 1kPa
0.6
SWCC predicted from M-EPDG:
RPM-MI
Low ya (< 0.6 kPa)
0.4
Rapidly drop of slope when y > ya
Limestone-WI
0.2
Low yr (> 10 kPa)
M-EPDG Prediction
0
0.01
0.1
1
10
100
1000
Matric Suction (kPa)
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 17
Relationship between degree of saturation and Mr
500
RPM-MI
Limestone-WI
SRM (MPa)
400
300
200
100
0
0
0.2
0.4
0.6
0.8
1
Degree of Saturation
SRM decrease as degree of saturation increase
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 18
SRM versus matric suction
600
k = 3.44, k =15.35, = 1.92
SRM (MPa)
500
A
B
2
Proposed model: R = 0.90
400
2
RPM-MI:
Liang et al. (20): R = 0.88
300
2
RPM-MI R = 0.90
200
SRM 216 – 290 MPa
RPM_MI
Proposed Model
Liang et al. (2008)
100
0
1
10
100
Matric Suction (kPa)
600
k = 0.1, k =19.28, = 0.49
SRM (MPa)
500
A
Limestone-WI
Proposed Model
Liang et al. (2008)
B
2
Proposed model: R = 0.65
400
2
Liang et al. (20): R = 0.63
300
Limestone-WI:
SRM 75 – 191 MPa
200
100
0
1
10
Matric Suction (kPa)
100
Tested at y = 1.5 kPa, 10 kPa, 20 kPa, 40 kPa, and 65 kPa
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 19
SRM versus matric suction fitted to the M-EPDG
prediction
y
800
SRM predicted from the
M-EPDG Equation:
RPM-MI
Limestone-WI
r
Change as y corresponding to SWCC
688 MPa
Start to increase rapidly
SRM (MPa)
600
when y > ya
400
y
Tend to constant when y > ya
333 MPa (Residual W )
n
SRMres/`SRMsat = 3.7 (both materials)
a
SRMM-EPDG/`SRMmeasured:
a = -0.31; = 0.30, k = 6.81
200
s
185 MPa
SRM
opt
of RPM-MI = 358.3 MPa
SRM of Limestone-WI = 173.7 MPa
opt
91 MPa (Saturated)
0
0.1
1
10
1.9 – 2.9 for RPM-MI
1.7 – 4.2 for DGA-WI
100
Matric Suction (kPa)
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 20
Variation of measured and predicted SRM
800
700
Propredicted SRM (MPa)
600
1:1 Line
500
400
2
300
Proposed Model: R = 0.93
2
Liang et al. (2008): R = 0.93
200
Proposed Model
Liang 2008
MEPDG
100
0
0
100
200
300
400
500
600
700
800
Measured SRM (MPa)
Comparison between predicted versus measured SRM using proposed
model in comparison to Liang et al. (2008) and M-EPDG Equation
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 21
Conclusions
RPM-MI provides higher SRM than limestone-WI
SRM increases as matric suction increase
The proposed model fits the test results well (R2 = 0.93)
over the full range of studied suction
SRMs predicted from M-EPDG are not conservative during
measured range of y (1 – 100 kPa)
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 22
References
Liang, R.Y., Rabab’ah, H., and Khasawneh, M. Predicting MoistureDependent Resilient Modulus of Cohesive Soils Using Soil Suction
Concept. Journal of Transportation Engineering, Vol. 134, No. 1, 2008, pp.
34-40.
Vanapalli, S.K., and Fredlund, D.G. Comparison of Different Procedures to
Predict Unsaturated Soil Shear Strength. Proc., of Sessions of Geo-Denver
2000, Advances in Unsaturated Geotechnics, ASCE, Reston, VA, 195-209.
Guide for Mechnistic-Empirical Design for New and Rehabilitated Pavement
Structure. Final Report, 2004, NCHRP Project 1-37-A.
www.trb.org/mepdg/guide.html. Accessed July 23, 2013.
Khalili, N., and Khabbaz, M.H. A Unique Relationship for 𝜒 for the
Determination of the Shear Strength of Unsaturated Soils. Geotechnique,
Vol. 48. No. 5, 1998, pp. 681-687.
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 23
Acknowledgements
James Tinjum (Advisor)
Tuncer Edil (Dissertation Committee)
William Likos (Dissertation Committee)
Benjamin Tanko (Undergraduate Assistant)
The Solid Waste Research Program (UW-Madison)
Recycled Materials Resource Center-3rd Generations
The Royal Thai Government
GeoFriends
Especically Xiadong Wang, Mababa Diagne, Ryan Shedivy
and Jiannan Chen
University of Wisconsin-Madison
Mid-Continent Transportation
Research Symposium 2013
Slide No. 24
Questions ?