The evolution of analytical methods for the prediction of cracking in jointed plain concrete pavements was traced over the period from the publication of Westergaard's early work until the year 2000. This development was accomplished in parallel with the birth and coming of age of geotechnical engineering and was likewise pioneered by a number of colorful and distinguished personalities. Westergaard's limiting assumptions have defined the task for generations of pavement engineers who, with road tests and laboratory studies, jerry-rigged equipment, and sophisticated electronic tools, have eventually managed to eliminate each one of them. As a new era of mechanistic–empirical pavement design is ushered in, it behooves the profession to undertake a concerted and serious effort to eliminate the most crucial remaining stumbling block to their efforts: Miner's fatigue hypothesis. Fracture mechanics, similitude concepts, and the principles of dimensional analysis hold the brightest promise of a future worthy of the pioneers celebrated here.
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References
1.
IoannidesA. M.Theoretical Implications of the AASHTO 86 Nondestructive Testing Method 2 for Pavement Evaluation. In Transportation Research Record 1307, TRB, National Research Council, Washington, D.C., 1991, pp. 211–220.
2.
WestergaardH. M.Om Beregning af Plader paa Elastik Underlag med Særlight Henblik paa Spørgsmaalet om Spændinger I Betonveje [On the Design of Slabs on Elastic Foundation with Special Reference to Stresses in Concrete Pavements].Ingeniøren [in Danish], Vol. 32, No. 42, 1923, pp. 513–524.
3.
WestergaardH. M.New Formulas for Stresses in Concrete Pavements of Airfields.ASCE Transactions, Vol. 113, 1948, pp. 425–439.
4.
WestergaardH. M.Analysis of Stresses in Concrete Pavements Due to Variations of Temperature.Highway Research Board Proceedings, Vol. 6, 1927, pp. 201–215.
5.
SkarlatosM. S.Deflections and Stresses in Concrete Pavements of Airfields with Continuous Elastic Joints. Report AD628501. Ohio River Division Laboratories, U.S. Army Corps of Engineers (USACE), Mariemont, Ohio, 1949. Also, D. Sc. thesis, Harvard University, Cambridge, Mass., 1949.
6.
PickettG., and RayG. K.. Influence Charts for Concrete Pavements.ASCE Transactions, Vol. 116, 1951, pp. 49–73.
7.
ChildsL. D., ColleyB. E., and KapernickJ. W.. Test to Evaluate Concrete Pavement Subbases.Proceedings of the American Society of Civil Engineers, Paper No. 1,297, Vol. 83 (HW-3), 1957, pp. 1–41.
8.
IoannidesA. M.Analysis of Slabs-On-Grade for a Variety of Loading and Support Conditions. Ph.D. thesis. University of Illinois at Urbana, 1984.
9.
IoannidesA. M., and KorovesisG. T.. Aggregate Interlock: A Pure-Shear Load Transfer Mechanism. In Transportation Research Record 1286, TRB, National Research Council, Washington, D.C., 1990, pp. 14–24.
10.
SkarlatosM. S., and IoannidesA. M.. The Theory of Concrete Pavement Joints. In Proc., 4th International Workshop on the Design and Rehabilitation of Concrete Pavements, Buçaco, Portugal,1998.
11.
IoannidesA. M., and HammonsM. I.. Westergaard-Type Solution for Edge Load Transfer Problem. In Transportation Research Record 1525, TRB, National Research Council, Washington, D.C., 1996, pp. 28–34.
12.
GoodmanR. E.Karl Terzaghi: The Engineer as Artist.ASCE Press, New York, 1999.
13.
MortonJ. O.The Application of Soil Mechanics to Highway Foundation Engineering. In Proc., 1st International Conferences on Soil Mechanics and Foundation Engineering, Vol. 1, Harvard University, Cambridge, Mass., 1936, pp. 243–247.
14.
WestergaardH. M.A Problem of Elasticity Suggested by a Problem in Soil Mechanics: Soft Material Reinforced by Numerous Strong Horizontal Sheets. In Contribution to the Mechanics of Solids (TimoshenkoStephen, ed.), 60th anniversary volume, MacMillan, New York, 1938, pp. 268–277.
15.
TerzaghiK.1955. Evaluation of Coefficients of Subgrade Reaction.Géotechnique, Vol. 5, No. 4, 1955, pp. 297–326.
16.
WestergaardH. M.Stresses in Concrete Pavements Computed by Theoretical Analysis.Public Roads, Vol. 7, No. 2, 1926, pp. 25–35.
17.
ZeevaertL., and NewmarkN. M.. A Seismic Design of Latino Americana Tower in Mexico City. In Proc., World Conference on Earthquake Engineering, Earthquake Engineering Research Institute, Berkeley, Calif., 1956, pp. 35-1–35-11.
18.
NewmarkN. M.Influence Charts for Computation of Stresses in Elastic Foundations. University of Illinois Experiment Station Bulletin 338. Vol. 61, No. 92, 1964, pp. 4–25.
19.
TerzaghiK.Theoretical Soil Mechanics.John Wiley and Sons, Inc., New York, 1943.
20.
TellerL. W., and SutherlandE. C.. The Structural Design of Concrete Pavements—Part 5: An Experimental Study of the Westergaard Analysis of Stress Condition in Concrete Pavement Slabs of Uniform Thickness.Public Roads, Vol. 23, No. 8, 1943, pp. 167–212.
21.
IoannidesA. M.Subgrade Characterization for Portland Cement Concrete Pavements. In Proc., International Conference on Geotechnical Engineering for Coastal Development—Theory and Practice, Port and Harbour Institute, Ministry of Transport, Yokohama, Japan, 1991, pp. 809–814.
22.
BurmisterD. M.The Theory of Stresses and Displacements in Layered Systems and Application to the Design of Airport Runways.Highway Research Board Proceedings, Vol. 23, 1943, pp. 126–144.
23.
HoggA. H. A.Equilibrium of a Thin Plate, Symmetrically Loaded, Resting on an Elastic Foundation of Infinite Depth.Philosophical Magazine, Series 7, Vol. 25, 1938, pp. 576–582.
24.
HollD. L.Equilibrium of a Thin Plate, Symmetrically Loaded, on a Flexible Subgrade.Iowa State College Journal of Science, Vol. 12, No. 4, 1938, pp. 455–459.
IoannidesA. M.The Problem of Slab on an Elastic Solid Foundation in the Light of the Finite Element Method. In Proc., 6th International Conference on Numerical Methods in Geomechanics, Innsbruck, Austria, 1988, pp. 1,059–1,064.
27.
OdemarkN.Investigations as to the Elastic Properties of Soils and Design of Pavements According to the Theory of Elasticity [in Swedish].Meddelande77, Statens Väginstitut, Stockholm, Sweden, 1949. [English translation by Michael A. Hibbs and Johan Silfwerbrand (A. M. Ioannides, ed.), 1990.]
28.
IoannidesA. M., KhazanovichL., and BecqueJ. L.. Structural Evaluation of Base Layers in Concrete Pavement Systems. In Transportation Research Record 1370, TRB, National Research Council, Washington, D.C., 1992, pp. 20–28.
29.
SeelyB. E.The Scientific Mystique in Engineering: Highway Research at the Bureau of Public Roads, 1918–1940. In The Engineer in America: A Historical Anthology from Technology and Culture (ReynoldsT. S., ed.), University of Chicago Press, 1991, pp. 309–342.
30.
HuangY. H., and WangS. T.. Finite-Element Analysis of Concrete Slabs and Its Implications for Rigid Pavement Design. In Highway Research Record 466, HRB, National Research Council, Washington, D.C., 1973, pp. 55–69.
31.
EberhardtA. C.Aircraft–Pavement Interaction Studies, Phase 1: A Finite Element Model of a Jointed Concrete Pavement on a Non-Linear Viscous Subgrade. Preliminary Report S-19. U.S. Army Corps of Engineers (USACE) Construction Engineering Research Laboratory, Champaign, Ill.,1973.
32.
TabatabaieA. M., and BarenbergE. J.. Finite-Element Analysis of Jointed or Cracked Concrete Pavements. In Transportation Research Record 671, TRB, National Research Council, Washington, D.C., 1978, pp. 11–19.
33.
GuoH., PaskoT. J.Jr., and SnyderM. B.. Maximum Bearing Stress of Concrete in Doweled Portland Cement Concrete Pavements. In Transportation Research Record 1388, TRB, National Research Council, Washington, D.C., 1993, pp. 11–19.
34.
DavidsW. G., and MahoneyJ. P.. Experimental Verification of Rigid Pavement Joint Load Transfer Modeling with EverFE. In Transportation Research Record: Journal of the Transportation Research Board, No. 1684, TRB, National Research Council, Washington, D.C., 1999, pp. 11–19.
35.
ThomlinsonJ.Temperature Variations and Consequent Stresses Produced by Daily and Seasonal Temperature Cycles in Concrete Slabs.Concrete Constructional Engineering, Vol. 36, No. 6, pp. 298–307; No. 7, pp. 352–360; 1940.
36.
ChoubaneB., and TiaM.. Nonlinear Temperature Gradient Effect on Maximum Warping Stresses in Rigid Pavements. In Transportation Research Record 1370, TRB, National Research Council, Washington, D.C., 1992, pp. 11–19.
37.
MirambellE.Temperature and Stress Distributions in Plain Concrete Pavements Under Thermal and Mechanical Loads. In Proc., Second International Workshop on the Design and Evaluation of Concrete Pavements.CROW/PIARC, Sigüenza, Spain, 1990, pp. 121–135.
38.
HuangY. H.Pavement Analysis and Design.Prentice-Hall, Englewood Cliffs, N.J.,1993.
39.
HuangY. H., and WangS. T.. Finite-Element Analysis of Rigid Pavements with Partial Subgrade Contact. In Transportation Research Record 485, TRB, National Research Council, Washington, D.C., 1974, pp. 39–54.
40.
KorovesisG. T.Analysis of Slab-on-Grade Pavement Systems Subjected to Wheel and Temperature Loadings. Ph.D. thesis. University of Illinois at Urbana, 1990.
41.
KhazanovichL.Structural Analysis of Multi-Layered Concrete Pavement Systems. Ph.D. thesis, University of Illinois at Urbana, 1994.
42.
KorenevB. G., and ChernigovskayaE. I.. Analysis of Plates on Elastic Foundation [in Russian]. Gosstroiizdat, Moscow, Russia, 1962.
43.
IoannidesA. M., and KhazanovichL.. Nonlinear Temperature Effects on Multi-Layered Concrete Pavements.Journal of Transportation Engineering, Vol. 124, No. 2, 1998, pp. 128–136.
44.
KhazanovichL., and Yu.H. T.Modeling of Jointed Plain Concrete Pavement Fatigue Cracking in PAVESPEC 3.0. In Transportation Research Record: Journal of the Transportation Research Board, No. 1778, TRB, National Research Council, Washington, D.C., 2001, pp. 72–84.
45.
KhazanovichL., and IoannidesA. M.. Finite Element Analysis of Slabs-on-Grade Using Improved Subgrade Soil Models. In Airport Pavement Innovations—Theory to Practice, Proceedings of a Specialty Conference Sponsored by the Airfield Pavement Committee, Air Transport Division (HallJim W.Jr., ed.). American Society of Civil Engineers, New York, 1993, 16–30.
46.
IoannidesA. M., and DonnellyJ. P.. Three-Dimensional Analysis of Slab on Stress-Dependent Foundation. In Transportation Research Record 1196, TRB, National Research Council, Washington, D.C., 1988, pp. 72–84.
47.
DavidsW. G., TurkiyyahG. M., and MahoneyJ. P.. EverFE Rigid Pavement Three-Dimensional Finite Element Analysis Tool. In Transportation Research Record 1629, TRB, National Research Council, Washington, D.C., 1998, pp. 41–49.
48.
IoannidesA. M., and PengJ.. Finite Element Simulation of Crack Growth in Concrete Slabs: Implications for Pavement Design. In Proc., Fifth International Workshop on the Design and Rehabilitation of Concrete Pavements, Istanbul, Turkey, 2004, pp. 56–68.
49.
GervaisE. L.Flexible Pavement ACN/PCN Concepts: A Manufacturer's Point of View. Presented at the 6th International Conference on the Bearing Capacity of Roads, Railways and Airfields, Instituto Superior Técnico, Lisbon, Portugal, 2002.
50.
U.S. General Accounting Office (GAO). Transportation Infrastructure: Highway Pavement Design Guide is Outdated. Report to the Secretary of Transportation, GAO/RCED-98-9, U.S. General Accounting Office, 1997.
51.
IoannidesA. M.Extension of Westergaard Solutions Using Dimensional Analysis. In Proc., 2nd International Workshop on the Design and Evaluation of Concrete Pavements, CROW/PIARC, Sigüenza, Spain, 1990, pp. 357–388.
52.
IoannidesA. M., SalsilliR. A., VindingI., and PackardR. G.. “Super-Singles”: Implications for Design. In Proc., 3rd International Symposium on Heavy Vehicle Weights and Dimensions.Queens’ College, Cambridge, U.K., 1992, pp. 225–232.
53.
ThompsonM. R., BarenbergE. J., CarpenterS. H., DarterM. I., DempseyB. J., and IoannidesA. M.. Calibrated Mechanistic Structural Analysis Procedures for Pavements, Phase 2. Final Report, NCHRP Project 1–26, Vols. 1 and 2. National Cooperative Highway Research Program, University of Illinois, Urbana, 1990.
54.
KhazanovichL., YuT. H., and DarterM. I.. Prediction of Critical JPCP Stresses in the Mechanistic–Empirical 2002 Design Guide.Proc., 9th International Symposium on Concrete Roads, Istanbul, Turkey, 2004.
55.
MinerM. A.Cumulative Damage in Fatigue. In Transactions, American Society of Mechanical Engineers, Vol. 67, New York, 1945, pp. A-159–A-164. [First published in Journal of Applied Mechanics, Sept. 1945.]
56.
IoannidesA. M.Pavement Fatigue Concepts: A Historical Review.Proc., 6th International Conference on Concrete Pavement Design and Rehabilitation.Purdue University, Indianapolis, Ind., 1997.
57.
IoannidesA. M.Fracture Mechanics in Pavement Engineering: The Specimen-Size Effect. In Transportation Research Record 1568, TRB, National Research Council, Washington, D.C., 1997, pp. 10–16.
58.
BacheH. H., and VindingI.. Fracture Mechanics in Design of Concrete Pavements. In Proc., 2nd International Workshop on the Design and Evaluation of Concrete Pavements, CROW/PIARC, Sigüenza, Spain, 1990, pp. 139–165.
59.
HillerborgA., ModeerM., and PeterssonP. E.. Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements.Cement and Concrete Research, Vol. 6, No. 6, 1976, pp. 773–782.
60.
IoannidesA. M., and SenguptaS.. Crack Propagation in Portland Cement Concrete Beams: Implications for Pavement Design. In Transportation Research Record: Journal of the Transportation Research Board, No. 1853, Transportation Research Board of the National Academies, Washington, D.C., 2003, 110–117.
61.
IoannidesA. M., PengJ., and SenguptaS.. Crack Propagation in Portland Cement Concrete: Combining Dimensional Analysis and Finite Elements. In Proc., International Conference on Highway Pavement Data, Analysis and Mechanistic Design Applications, Vol. 1, Ohio Research Institute for Transportation and the Environment, Ohio University/FHWA, Columbus, 2003, pp. 271–279.
62.
IoannidesA. M., and PengJ.. Finite Element Simulation of Crack Growth in Concrete Slabs: Implications for Pavement Design. In Proc., 5th International Workshop on the Design and Rehabilitation of Concrete Pavements, Istanbul, Turkey, 2004, pp. 56–68.
