Simplified Solution for Periodic Thermal Discontinuities in Asphalt Overlays Bonded to Rigid Pavements
Publication: Journal of Transportation Engineering
Volume 133, Issue 1
Abstract
This work investigates the elastic fields which develop in an overlay bonded to a rigid substrate when the system is subjected to thermally induced stress. A two-dimensional solution of the displacement field is derived for periodic discontinuities distributed in a hot mix asphalt overlay bonded to a rigid pavement, where the length of the pavement before cracking develops is much larger than its layer thickness. A series form solution is obtained, requiring calibration due to the limitation of the basis functions used. The formulation allows thermal cracks of variable depth to be considered, and its accuracy is verified through comparisons with numerical solutions obtained with ABAQUS. Energy release rates are calculated from the model for top-down plane strain cracking and three-dimensional channeling. By comparing the energy release rates with the fracture toughness of the overlay, conditions for crack initiation and an estimation of crack depth for a given temperature change can be estimated. Although several simplifying assumptions are made in the current approach, it is shown to be more general and therefore more widely applicable as compared to existing closed-form solutions. The solutions are valuable to the pavement analyst who seeks to understand the general mechanisms of thermally induced pavement deterioration and for the researcher wishing to perform early stage verification of more complex pavement models.
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Acknowledgments
This work is sponsored by Federal Highway Administration National Pooled Fund Study 776, whose support is gratefully acknowledged. The results and opinions presented herein are those of the writers and do not necessarily reflect those of the sponsoring agency. The writers would like to thank Professor John Hutchinson for his advice on the calculation of the energy release rates. The writers also thank Mr. E. Dave and A. Braham for their help in the preparation of the manuscript.
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© 2007 ASCE.
History
Received: Dec 27, 2005
Accepted: Jun 5, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
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