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EXPERIMENTAL STUDY OF MEMBRANE FATIGUE RESPONSE FOR ASPHALT 2

MULTISURFACING SYSTEMS ON ORTHOTROPIC STEEL DECK BRIDGES 3

X. Liu1, G. Tzimiris2, A. Scarpas3, R. Hofman4, J. Voskuilen5 4

5

(1) Corresponding author 6

Section of Road and Railway Engineering, Delft University of Technology 7

Stevinweg 1, 2628 CN Delft, the Netherlands 8 Phone: + 31 (0)15 27 87918 9 Email: x.liu@tudelft.nl 10 11

(2) Section of Road and Railway Engineering, Delft University of Technology 12

Stevinweg 1, 2628 CN Delft, the Netherlands 13 Phone: + 31 (0)15 27 89388 14 Email: g.tzimiris@tudelft.nl 15 16

(3) Section of Road and Railway Engineering, Delft University of Technology 17

Stevinweg 1, 2628 CN Delft, the Netherlands 18 Phone: + 31 (0)15 27 84017 19 Email: a.scarpas@tudelft.nl 20 21

(4) Rijkswaterstaat, Centre for Traffic and Navigation 22

Schoenmakerstraat, 2628 VK Delft, the Netherlands 23 Phone: + 31 (0)887982284 24 Email: rob.hofman@rws.nl 25 26

(5) Rijkswaterstaat, Centre for Traffic and Navigation 27

Schoenmakerstraat, 2628 VK Delft, the Netherlands 28 Phone: + 31 (0)88 7982304 29 Email: jan.voskuilen@rws.nl 30 31 Submission Date: 29/06/2013 32 Word Count: 33 Body Text = 3615 34 Abstract = 135 35 Figures 12×250 = 3000 36 Tables 3×250 = 750 37 Total = 7500 38 39

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ABSTRACT 40

In order to adequately characterize the fatigue response of the various membranes with 41

surrounding multilayer surfacing layers on orthotropic steel decks and collect the necessary 42

parameters for FE modeling, the details of the cyclic Membrane Adhesion Tester (MAT) are 43

introduced. The fatigue damage in membrane interface is related to the amount of dissipated work 44

computed by using the measurement of actuator load and piston deformation during the loading cycle. 45

The dissipated work, which is equivalent to the lost part of the total potential energy of the membrane, 46

has been utilized to explain the incremental damage during the testing. Furthermore, using the 47

experimental data obtained from MAT, ranking of the bonding characteristics of various membrane 48

products is demonstrated as well as the role of other influencing factors, such as the types of substrate 49

and test temperatures. 50

Keywords: membrane; orthotropic steel deck bridge; fatigue; dissipated energy; adhesive 51 bonding strength 52 53 INTRODUCTION 54

Orthotropic steel deck bridges (OSDB) are widely used in most of the major long span 55

bridges around the world. The lightweight and flexibility make OSDB a cost-effective solution for 56

cases where a high degree of pre-fabrication or rapid erection is required (Gurney, 1992), in seismic 57

zones, for movable bridges, long-span bridges and for rehabilitation to reduce bridge weight (Mangus 58

and Sun, 1999). 59

An OSDB consists of a deck plate supported in two mutually perpendicular directions by a 60

system of longitudinal stiffeners and transverse crossbeams. Usually, the deck plate is surfaced by 61

bituminous wearing courses. It is known that surfacings except of their function of skid resistance or 62

waterproofing, reduce the stresses in the steel structure. In the Netherlands, an asphaltic surfacing 63

structure for OSDB mostly consists of two structural layers. The upper layer consists of porous 64

asphalt (PA) because of reasons related to noise hindrance. For the lower layer, a choice between 65

mastic asphalt (MA), or guss asphalt (GA), can be made (Medani, 2006). Two layers of membrane 66

are required to bond the two aforementioned structural layers. Earlier investigations have shown that 67

the bonding strength of membrane layers to the surrounding materials has a strong influence on the 68

structural response of OSDB. The most important requirement for the application of membrane 69

materials is that the membrane adhesive layer shall be able to provide sufficient bonding to the 70

surrounding materials. 71

In order to characterize adequately the adhesive bonding strength of membranes with 72

surrounding materials on orthotropic steel bridge decks, a Membrane Adhesion Tester (MAT) device 73

has been developed by Delft University of Technology and presented in the 92nd TRB annual meeting 74

(Liu et al. 2013) and in the technical report of this project (Liu & Scarpas, 2012). A total of eight 75

types of membrane products, representing the most commonly used for waterproofing in OSDB 76

constructions, have been tested under monotonic static loading conditions on different substrates. The 77

effects of temperature on the bonding characteristics of the membrane are investigated. By comparing 78

the critical strain energy release rate (Gc values) of different membranes at the same test condition, it 79

was concluded that the test product labeled C1 performs quite well as bottom membranes while the 80

test products labeled A2 and C2 represent the best choices for top membranes in Dutch OSDB, Table 81

1 & 2. 82

The monotonic MAT tests provided a fundamentally sound, mechanistic methodology for the 83

expedient ranking of the bonding characteristics of membrane products. In the second phase of this 84

project, the MAT device was modified to enable the investigation of the fatigue response of the three 85

top ranked membrane products under cyclic loading conditions at different temperatures. 86

In this paper, the cyclic MAT tests are presented. The characteristics of the tested membrane 87

are briefly introduced. The concept of “dissipated energy” and its utilization for quantification of the 88

damage induced in the membrane due to cyclic MAT loading are discussed. 89

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In the last part of this paper, experimental results of the selected membrane products on 90

various substrates tested at two different temperature conditions (100C and 300C) and three different 91

cyclic loading levels (150N, 250N and 350N ) are presented. The values of dissipated work for each 92

membrane interface are compared, as well as the relationship between the membrane debonding 93

length and the number of load cycle. 94

EXPERIMENTAL SETUP AND TEST CONDITIONS 95

The membrane fatigue tests were performed at two temperatures (100C and 300C). The fatigue tests at 96

100C, were performed with a sinusoidal loading F ranging between min

F

50N

and

F

max=150N at a 97

frequency of 5 Hz for 432 000 cycles. Fmax was increasing every 432 000 cycles, starting from 150N, 98

then 250N and finally, 350N, see Figure 1. 99

FIGURE 1 Schematic show of fatigue loading scheme 100

For the fatigue tests at 300C, the sinusoidal loading F varied from min

F

50N

to 101

max

F

100N

at a frequency of 5 Hz. The number of applied load cycles was 864 000. 102

In order to run the tests under temperature controlled conditions the set up needed to be 103

properly insulated. For this project, a climate chamber was used to enable testing under different 104

temperatures. 105

The MAT setup is capable of operating in both a monotonic or a cyclic mode. For cyclic tests, 106

the maximum allowed load is 500N. The frequency range is 1 – 5 Hz and the maximum allowed 107

displacement from the bottom position is 150mm. The schematic diagram of MAT setup is shown in 108

Figure 2. 109

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111 112

FIGURE 2 MAT set-up 113

LIST OF MEMBRANE PRODUCTS AND THEIR MECHANICAL PROPERTIES 114

Product A1 and A2 are waterproof membranes manufactured with SBS(styrene butadiene styrene) 115

elastomeric bitumen and internally reinforced with a non-woven polyester textile. These two products 116

are implemented on concrete decks, steel decks, sand asphalt or asphalt concrete. Product A1 is 117

applied on the steel plate, while product A2 is applied on the Guss aspahlt. 118

Product A1 and A2 can be bonded to the prepared substrate by melting the film on the 119

membrane surface and softening of the bitumen. Details of the product specifications can be seen in 120

Table.1. 121

Table 1 Specifications of product A1 and A2 from company A 122

Test and specification Units Standard

A1 A2 Nominal values Critical values Nominal values Critical values

Main surface thickness mm EN 1849-1 4 3.8 4.8 4.6

Tensile strength at break

(20oC,100mm/min) N/5cm EN 12311-1 950 820 950 820

Elongation at break

(20oC, 100mm/min) % EN 12311-1 40 35 40 35

There are two types of membranes from company C. Product C1 is used only as a bottom 123

membrane, whist product C2 can be used both as top and bottom membranes in asphalt surfacing 124

systems on steel bridge decks. 125

Product C1 is a 2.4 mm thick single-ply membrane, with non-woven polyester fleece. This 126

product is used for the single-ply sealing under stone mastic asphalt, mastic asphalt or bituminous 127

concrete. 128

Product C2 is a 4.7 mm thick single-Ply membrane, with 1.5 mm strong fleece. This 129

membrane is provided with a modified bituminous mass of 1.6 mm thickness on both sides. Product 130

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C2 is a waterproof membrane for bridges, and provides high resistance to traffic loading. The details 131

of specifications for products C1 and C2 are shown in Table 2. 132

Table 2. Specifications of products C1 and C2 from Company C 133

Test and specification Units Standard C1 C2

Thickness mm EN 1859-2 2.4 4.7

Tensile strength MD/TD N/50 mm ISO 527 1350/1150 1350/1150 Elongation at tensile strength

MD/TD % ISO 527 50/70 50/70

134

SPECIMEN TYPES 135

In the Netherlands an asphaltic surfacing structure for orthotropic steel bridge decks mostly consists 136

of multilayers, see Figure 3. The upper layer consists of Porous Asphalt (PA) for noise reduction. For 137

the lower layer a choice between Mastic Asphalt (MA) or Guss Asphalt (GA), can be made. One 138

membrane layer is utilized to bond the surfacing layers together and an other one to bond the 139

surfacing layer to the steel deck . In order to characterize the interface adhesive bonding strength 140

between various membrane products and the surrounding asphalt and steel material layer, four types 141

of specimen, i.e. steel-membrane specimen (SM1), Guss Asphalt concrete-membrane specimen (GM1 142

and GM2) and Porous Asphalt-membrane specimen (PM2) were tested. The GM system consists of 143

two interfaces, with membrane-1 at the bottom of the Guss Asphalt (GM1) and membrane-2 at the top 144

of the Guss Asphalt (GM2), see Figure 3. Therefore two types of GM specimens have been 145 investigated. 146 147 148 149

FIGURE 3 Schematic of a typical Dutch asphalt surfacing system on a steel bridge deck 150

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Table 3 illustrates the combinations of membrane materials and surfacing layers tested in this research. 152

Products A1 and C1 have been tested only at SM1 and GM01 interfaces, product A2 only at GM02 153

and PM02 interfaces while C2 product in all interfaces. 154

155

Table 3 Product/interface combination 156 Membrane type A C A1 A2 C1 C2 SM1 √ √ √ GM01 √ GM02 √ √ PM02 √ √

DISSIPATED ENERGY APPROACH FOR FATIGUE ANALYSIS OF MAT 157

Dissipated energy was used as an indicator of damage in asphalt materials (Van Dijk 1975; Van Dijk 158

and Visser 1977). These researchers postulated that the fatigue life depends on the accumulation of 159

dissipated energy from each load cycle. In later studies, damage was related to the rate of change in 160

dissipated energy from one cycle to the next (Carpenter and Jansen 1997). 161

In this study, the dissipated energy concept has been utilized for MAT cyclic loading tests to 162

characterize the fatigue life of membrane products bonded on the different substrates at different 163

temperatures and loading levels. The fatigue damage in the interface between membrane and substrate 164

is related to the amount of dissipated work computed by using the measurement of the actuator load 165

and the membrane deformation during each loading cycle. The dissipated work per loading cycle, 166

which is equivalent to the lost part of the total potential energy supplied to the membrane by the 167

actuator per cycle, was used in this study as a measure of the incremental damage in the interface 168

between the membrane and substrate during the testing. 169

Dissipated Energy Concept

170 171

Applying a load to a material, the area under the stress-strain curve represents the energy being input 172

into the material. During the loading-unloading process, if the unloading curves do not coincide with 173

the loading but trace different paths, an energy loss is happened within the material. Part of the energy 174

is dissipated out of the material system due to the external work, in the form of mechanical work, heat 175

generation, or damage. 176

The dissipated energy from cycle loading can be determined by calculating the energy losses 177

associated with the phase angle, see Figure 4 (a). The area of the hysteresis loop in Figure 4(b) 178

represents the dissipated energy and the following equations can be used to calculate its value in a 179

linear viscoelastic material. 180

181

FIGURE 4. Oscillating stress, strain and phase angle. (b). Hysteresis loop (one load cycle) 182

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i i i i DE    sin (1) 184 where 185 i

DE

dissipated energy in cycle i; 186

i

=

stress level in cycle i; 187

i

=

strain level in cycle i; 188

i

=

phase angle between

σ

and

ε

in cycle i; 189

When stress

σ

is not a directly measurable quantity, the above equation can be expressed in 190

terms of dissipated work as: 191 i i i i DW   F sin (2) 192 where 193 i

DW

dissipated work in cycle i; 194

i

F =

force level in cycle i; 195

i

=

displacement level in cycle i; 196

i

=

phase angle between F and

δ

in cycle i; 197

The relative change in the amount of the energy dissipated is directly related to damage 198

accumulation. A low amount of relative change in energy dissipation can be found either in high 199

fatigue resistance materials, low external loading amplitudes, or both. Such relative change in 200

dissipated energy represents the total effect of fatigue damage without the necessity of considering 201

material type, loading modes and severity separately, Shen and Carpenter (2007). 202

This concept was first initiated by Carpenter and Jansen (1997) who suggested using the 203

change in dissipated energy to relate damage accumulation and fatigue life. The work was refined and 204

expanded by Ghuzlan and Carpenter (2000), and then well applied and verified by Carpenter et al. 205

(2003) who used the ratio of dissipated energy change (RDEC) as an energy parameter to describe 206

HMA( Hot Mix Asphalt) fatigue damage. This ratio can be represented as: 207

a b a a

DE

DE

RDEC

DE b a

(3) 208 where 209 a

RDEC

the average ratio of dissipated work change at load cycle a, comparing to next cycle b; 210

a, b = load cycle a and b. the typical cycle count between cycle a and b is 100, i.e., b-a=100; 211

a b

DE , DE =

the dissipated work produced in load cycle a and b respectively; 212

Similar as Eq. (3), Eq. (4) can be expressed by using the ratio of dissipated work change 213 (RDWC) as: 214

a b a a

DW

DW

RDWC

DW b a

(4) 215 where 216 a

RDWC

the average ratio of dissipated work change at load cycle a, comparing to next cycle b; 217

a, b = load cycle a and b. the typical cycle count between cycle a and b is 100, i.e., b-a=100; 218

a b

DW , DW =

the dissipated work produced in load cycle a and b respectively; 219

RDEC or RDWC eliminates the energy that is dissipate in other forms without producing 220

damage. This provides a true indication of the damage being done to the mixture from one cycle to 221

another by comparing the previous cycle’s energy level and determining how much of it caused 222

damage. 223

As introduced by Ghuzlan (2001) and Carpenter et al. (2003, 2006), the damage curve 224

represented by RDEC vs. loading cycles shows three stages: a rapid decrease, followed by a plateau 225

stage (stage II) for the majority of the fatigue cycles. The plateau stage (stage II), an indication of a 226

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period where there is a relatively constant percentage of input energy being turned into damage, will 227

extend throughout the main service life until a dramatic increase in RDEC, which gives a sign of true 228

fatigue failure (stage III). The schematic chart is given in Figure 5. 229

230

FIGURE 5. Typical RDEC plot with three behaviour zones (Carpenter et al. 2003) 231

EXPERIMENTAL RESULTS 232

The first group of tests was conducted at three load levels (150N, 250N, 350N) at 100C. The results 233

are presented below for all products (A1, A2, C1 and C2) and all interfaces (SM1, GM1, GM2, PM2). 234

Figure 6 shows the ratio of dissipated work change (RDWC) curves for three different 235

membrane products at three different load levels (150N, 250N and 350N) at 100C. Figure 7 shows the 236

dissipated work and the membrane debonding length for three different membrane products versus the 237

number of load cycles. The comparisons have been conducted for all products at the steel/membrane 238

(SM1) interface. 239

240

241

FIGURE 6. Ratio of dissipated work change of steel/membrane interface 1 (SM1) 242

In Figure 6 it can be observed that, after the initial loading period, the plateau stage was 243

reached. At the SM1 interface, the plateau values of product C1 were always lower than the other two 244

products indicating that less input energy turned into SM1 interface damage. Particularly, at 150N and 245

250N load levels, almost no energy was turned into fatigue damage for product C1. 246

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247

FIGURE 7. Dissipated work and debonding length of steel/membrane interface 1 (SM1) 248

Product C2 was found to have better fatigue resistance than product A1 at 150N and 250N 249

load levels. However, at 350N load level product A1 was found to have lower RDWC values than 250

product C2. That can explain why at 350N load level, membrane C2 was debonded earlier than 251

product A1, see Figure 7. 252

253 254

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255

FIGURE 8. Ratio of dissipated work change of Guss/membrane interface 1 (GM1) 256

In Figure 8, the results for product A1, C1 and C2 at GM1 interface are presented. Similarly 257

as in SM1 interface, product C1 was found to have the lower RDWC values followed by product C2 258

and A1 respectively. At 250N load level, the RDWC curves for product C2 and C1 overlapped 259

showing a similar response at GM1 interface. Product A1 could not be tested at 350N load level 260

because it was fully debonded during the first 100,000 cycles of the 250N load level. 261

262

263

FIGURE 9. Ratio of dissipated work change of Guss/membrane interface 2 (GM2) 264

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At the GM2 interface, only products A2 and C2 were tested. These products were fully 266

debonded at 250N load level, hence only the RDWC curves of 150N and 250N are presented in 267

Figure 9. Although slightly lower RDWC values occur for product C2 at 150N load level, it can be 268

observed that both products demonstrated a similar response . At the 250N load level, RDWC values 269

are higher for product A2 than for product C2 proving that product C2 had better fatigue resistance at 270

GM2 interface than product A2. 271

272

273

FIGURE 10. Ratio of dissipated work change of Porous AC/membrane interface 2 (PM2) 274

At the PM2 interface, product C2 was found to have slightly lower values of RDWC at 150N 275

load level, Figure 10. However, a significant difference of RDWC between those two products can be 276

observed at 250N load level. It can also be seen that the RDWC curve of product A2 stopped 277

developing after 200,000 load cycles because it was fully debonded. 278

The results from the tests conducted at 300C are presented below. These tests were performed 279

at one load level, 100N for 864 000 cycles for all products and interfaces. Nevertheless, at some 280

interfaces the tests were completed before the maximum of 864000 load cycles due to large 281

deformation of the samples. 282

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284

FIGURE 11. Dissipated work and debonding length at 100N and 30oC 285

Figure 11 shows the results for products A1, A2, C1 and C2 at the SM1, GM1, GM2 and 286

PM2 interfaces. For product A1 at the SM1 and the GM1 interfaces, the SM1 interface was found to 287

be the one with the lower values in terms of dissipated work producing a steady response throughout 288

the fatigue test. At the GM1 interface, the debonding process started since the beginning of the test 289

resulting to full debonding after the first 100,000 loading cycles while the calculated dissipated work 290

was also found to increase since the beginning of the test. 291

For product A2, the GM2 interface is better than PM2 in terms of dissipated work. High rate 292

of debonding was observed at PM2 interface at 100,000 cycles. 293

The results of product C1 are also presented in Figure 11. This product is used only as a 294

bottom membrane which means that is only applicable on steel plate and Guss asphalt. SM1 interface 295

was found to be the one with the lower values in terms of dissipated energy therefore producing a 296

steady response throughout the fatigue test. It can be noticed that the SM1 interface has zero 297

debonding. On the other hand, GM1 was found to have 45mm of debonding length at the end of the 298

test. 299

For product C2, it can observed that SM1 interface is the worst one in relation to the 300

membrane debonding speed. GM1 and GM2 interfaces demonstrate almost the same response. 301

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302

303

FIGURE 12. Ratio of dissipated work change at 100N and 30oC 304

In Figure 12 the RDWC of three different products, tested at a temperature of 300 C and a load 305

level of 100N, is compared. For both SM1 and GM1 interfaces at 300 C, product C1 was found to 306

have lower RDWC values than product A1 and C2. At GM1 interface, products C2 and A1 were 307

found to have similar response with the RDWC curves overlapping. However, a significant difference 308

can be observed at the SM1 interface between products C2 and A1; higher RDWC values occurred for 309

product A1 at the SM1 interface. 310

At the GM2 interface, product A2 was found to have lower RDWC values than product C2 311

while at the PM2 interface, product C2 was found to have lower RDWC values. Finally, it can be seen 312

that product C2 at PM2 interface reached its plateau stage earlier than product A2. 313

CONCLUSIONS 314

Based on the presented results, the following conclusions can be made: 315

 The MAT set up is capable of characterizing the fatigue response of the various membranes 316

bonded on the different substrates. The test results allow a better understanding of the 317

membrane performance on the bridge structure allowing thus optimization of maintenance 318

activities; 319

 The fatigue response of a membrane product is influenced not only by the surrounding 320

substrate but also by the environmental temperature and loading level applied on the 321

membrane; 322

 The concept of dissipated energy/work provides a fundamental and expedient means to 323

evaluate the fatigue life of membrane products on different substrates; 324

 Product C1 performs quite well as the bottom membrane, both at 100C and 300C, in term of 325

values of dissipated work and debonding length. 326

 Product C2 and A2 are considered as the best choices for the top membranes. 327

 The observations from the MAT cyclic loading tests are coincident to the observations from 328

MAT monotonic static loading tests in the previous paper. It means that the findings of this 329

study is a further proof that the methodology utilized in this research project is adequate for 330

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ranking the bonding characteristics of various membrane products on different substrates for 331 OSDB construction. 332 ACKNOWLEDGMENTS 333

This research project is part of the research program of InfraQuest which is a collaboration 334

between TNO, TU Delft and the Dutch road authorities. The research was partially funded by the Dutch 335

Transport Research Centre (DVS) of the Ministry of Transport, Public Works and Water Management 336

(RWS). Their financial support is highly appreciated. 337

REFERENCES 338

1. Gurney, T. Fatigue of steel bridge decks. HMSO Publication Centre: London. 1992, pp. 165. 339

2. Mangus, A.R. and S. Sun. Orthotropic Bridge Decks. Bridge Engineering Handbook, ed. W. 340

Chen and L. Duan 1999, Boca Raton: C.R.C. Press. 341

3. Medani, T.O. Design principles of surfacings on orthotropic steel bridge decks. Delft 342

University of Technology, Delft, 2006. 343

4. Liu, X., Scarpas, A., Li, J., Tzimiris, G., Hofman, R. and Voskuilen, J. Development of Test 344

Method for Assessing the Bonding Characteristics of Membrane Layers in Wearing Course 345

Laid on Orthotropic Steel Bridge Decks. In proceeding of Transportation Research Record, 346

Washington D.C., 2013. 347

5. Liu, X., and A. Scarpas. Experimental and Numerical Characterization of Membrane 348

Adhesive Bonding Strength on Orthotropic Steel Deck Bridges, Part 1. Project report 349

CITG2012-1, Delft University of Technology, The Netherlands, 2012. 350

6. Van Dijk, W. Practical Fatigue Characterization of Bituminous Mixes. Proceedings of the 351

Association of Asphalt Paving Technologists, vol. 44, pp. 38-74. 1975. 352

7. Van Dijk, W. and W. Visser. The Energy Approach to Fatigue for Pavement Design. 353

Proceedings of the Association of Asphalt Paving Technologists, vol. 46, pp. 1-40. 1977. 354

8. Carpenter, S. H., and M. Jansen.. Fatigue Behavior Under New Aircraft Loading Conditions.. 355

In Aircraft/Pavement Technology: In the Midst of Change, seattle, Washington, 17-21 August 356

1997. Edited by F.V. Hermann. American Socity of Civil Engineers, New York. pp. 259-271. 357

1997. 358

9. Shen, S., Carpenter, S.: Dissipate Energy concept for HMA Performance: Fatigue and Healing, 359

Department of Civil and Environmental Engineering. University of Illinois at Urbana-360

Champaign: Urbana, Illinois. 2007. 361

10. Ghuzlan, K, and S. H. Carpenter. Energy-Derived/Damage-Based Failure Criteria for Fatigue 362

Testing, In Transportation Research Record: Journal of the Transportation Research Board, 363

No.1723, TRB, National Research Council, Washington D.C. pp. 141-149. 2000. 364

11. Carpenter, S. H., Ghuzlan, K, and Shen, S. Fatigue Endurance Limit for Highway and Airport 365

Pavements, In Transportation Research Record: Journal of the Transportation Research Board, 366

No. 1832, TRB, National Research Council, Washington D.C., 2003, pp. 131-138. 2003. 367

12. Ghuzlan, K. Fatigue Damage Analysis in Asphalt Concrete Mixtures Based upon Dissipated 368

Energy Concept. PHD thesis. University of Illinois at Urbana-Champaign, August, 2001. 369

13. Carpenter, S. H. and Shen, S. A Dissipated Energy Approach to Study Hot-Mix Asphalt 370

Healing in Fatigue. Transportation Research Record (TRR): Journal of the Transportation 371

Research Board, No. 1970, pp.178-185. 2006. 372

373 374 375 376

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