Distributed Thermal Cracking of AC Pavement with Frictional Constraint
Publication: Journal of Engineering Mechanics
Volume 125, Issue 5
Abstract
This paper develops a model to simulate the distributed thermal cracking of concrete structures with frictional constraint. This model is developed primarily for the thermal cracking asphalt-concrete (AC) pavement structures; however, with some modifications, it is also applicable to similar problems such as shrinkage cracking of concrete and cracking of reinforced concrete in uniaxial tension. This model reflects the multiscale nature of these problems: microcracking or damage on the mesoscale and localization or redistribution on the macroscale. Randomly distributed fictitious cracks are introduced to represent the inhomogeneities and damage in the material at the mesoscale. Friction is recognized as the mechanism leading to stress redistribution and, therefore, damage localization on the macroscale. When the problem is assumed to be 1D and Coulomb friction is used, a semianalytical numerical scheme is developed. The formation of stress-free open cracks is due to the combination of continuous crack growth and unstable jumps, which involve a nonlinear stability analysis. Equilibrium solutions and stability conditions are given in the paper. Displacement controlled analysis is used to follow the unstable equilibrium path after the structure has lost stability. Numerical simulations clearly show that, with slight mesoscale inhomogeneities and in the presence of a constraining frictional force, microcracking or damage on the mesoscale localizes and finally leads to open cracks distributed at a spacing on the order of the macroscale.
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References
1.
Bazant, Z. P., and Cedolin, L. ( 1991). Stability of structures. Oxford University Press, Oxford, England.
2.
Bazant, Z. P., Kim, J. K., and Pfeiffer, P. ( 1985). “Continuum model for progressive cracking and identification of nonlinear fracture parameters.” Application of fracture mechanics to cementitious composites, S. P. Shah, ed., Dordrecht, Holland, 247–285.
3.
Bazant, Z. P., and Lin, F. B. (1988). “Nonlocal smeared cracking model for concrete fracture.”J. Struct. Engrg., ASCE, 114(11), 2493–2510.
4.
Bazant, Z. P., and Oh, B. ( 1983). “Crack band theory for fracture of concrete.” Mat. and Struct., 16, 155–177.
5.
Carpenter, S. H., and Lytton, R. L. ( 1975). “Pavement cracking in west Texas due to freezing-thaw cycling.” Transp. Res. Rec. 532, Transportation Research Board, Washington, D.C., 1–13.
6.
Chang, H. S., Lytton, R. L., and Carpenter, H. S. ( 1976). “Prediction of thermal reflection cracks in west Texas.” Rep. No. TTI-2-8-73-18-3, Texas Transportation Institute, College Station, Tex.
7.
Coleman, B. D., and Hodgon, M. L. ( 1985). “On shear bands in ductile materials.” Archive for Rational Mech. and Analysis, 90, 219–247.
8.
Crisfield, M. A. ( 1991). Non-linear finite element analysis of solids and structures. Wiley, New York.
9.
Fromm, H. F., and Phang, W. A. ( 1972). “A study of transverse cracking of bituminous pavements.” Assn. of Asphalt Paving Technologists, Vol. 41, 383–423.
10.
Gerstle, W. H., and Xie, M. (1992). “FEM modeling of fictitious crack propagation in concrete.”J. Engrg. Mech., ASCE, 118, 416–434.
11.
Haas, R., Meyer, F., Assaf, G., and Lee, H. ( 1987). “A comprehensive study of cold climate airport pavement cracking.” Assn. of Asphalt Paving Technologists, Vol. 56, 198–245.
12.
Hillerborg, A., Modeer, M., and Peterson, D. E. ( 1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cement and Concrete Res., 6, 773–782.
13.
Hiltunen, D. R., and Roque, R. ( 1994). “A mechanics-based prediction model for thermal cracking of asphaltic concrete pavements.” Assn. of Asphalt Paving Technologies, Vol. 63, 81–117.
14.
Ingraffea, A. R. ( 1984). “Nonlinear fracture models for discrete crack propagation.” Application of fracture mechanics to cementitious composites, S. P. Shah, ed., Dordrecht, Holland, 247–285.
15.
Jenq, Y. S., and Perng, J. D. ( 1991). “Analysis of crack propagation in asphalt concrete using cohesive crack models.” Transp. Res. Rec. 1317, Transportation Research Board, Washington, D.C., 90–99.
16.
Lytton, R. L., Shaumugham, U., and Garrett, B. D. ( 1983). “Design of asphalt pavements thermal fatigue cracking.” Rep. No. FHWA/TX-83, Texas Transportation Institute, College Station, Tex.
17.
Roque, R., and Ruth, B. E. ( 1990). “Mechanisms and modeling of surface cracking in asphalt pavements.” Assn. of Asphalt Paving Technologists, Vol. 59, 397–421.
18.
Shen, W. ( 1998). “Models and solutions for permanent deformation and thermal cracking of flexible pavements,” PhD dissertation, University of Notre Dame, Notre Dame, Ind., 1–161.
19.
Sluys, L. J., and De Borst, R. ( 1992). “Wave propagation and localization in a rate-dependent cracked medium, model formulation and one-dimensional example.” Int. J. Solids and Struct., 29, 2945–2958.
20.
Sluys, L. J., and De Borst, R. ( 1996). “Failure in plain and reinforced concrete: An analysis of crack width and crack spacing.” Int. J. Solids and Struct., 33, 3257–3276.
21.
Yao, B., and Murray, D. (1993). “Prediction of distributed cracking in RC analysis.”J. Struct. Engrg., ASCE, 119, 2813–2834.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 125 • Issue 5 • May 1999
Pages: 554 - 560
History
Published online: May 1, 1999
Published in print: May 1999
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