Energy Release Rate due to Friction at Bimaterial Interface in Dams
Publication: Journal of Engineering Mechanics
Volume 129, Issue 7
Abstract
The interface between concrete dam and rock foundation is one of the most important regions governing the strength and stability of gravity dams. Many researchers have attempted to extend the fracture mechanics approach to study this rock concrete interface assuming stress free crack surfaces. In a real-life situation, because of the combined compression and shear loading, the crack faces come in contact resulting in a sizeable contact zone near the crack tip. Thus, frictional contact of the crack surfaces cannot be neglected. The frictional contact alters the stress singularity to become either weaker or stronger than the inverse square root singularity observed in homogeneous crack problems. Consequently, the strain-energy release rate as conventionally defined, either vanishes or becomes unbounded and thus cannot be used as a fracture parameter. In this work, an attempt is made to include the effect of friction associated with the sliding of crack surfaces and compute the energy dissipated during crack propagation. It is shown that the total energy release rate decreases with crack length when friction is accounted for between the rock-concrete interface in gravity dams.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ayari, M., and Saouma, V.(1990). “A fracture mechanics based seismic analysis of concrete gravity dams using discrete cracks.” Eng. Fract. Mech., 35, 587–598.
Bruhwiler, E., and Wittmann, F.(1990). “Failure of dam concrete subjected to seismic loading conditions.” Eng. Fract. Mech., 35, 565–571.
Cervera, M., Oliver, J., Herrero, E., and Onate, E.(1990). “A computational model for progressive cracking in large dams due to swelling of concrete.” Eng. Fract. Mech., 35, 573–585.
Chandra Kishen, J. M. (1996). “Interface cracks: Fracture mechanics studies leading towards safety assessment of dams.” PhD thesis, Dept. of Civil, Environmental and Architectural Engineering, Univ. of Colorado at Boulder, Colo.
Chandra Kishen, J. M., and Singh, K. D.(2001). “Stress intensity factors based fracture criteria for kinking and branching of interface crack: application to dams.” Eng. Fract. Mech., 68, 201–219.
Comninou, M.(1977). “Interface crack with friction in the contact zone.” J. Appl. Mech., 44, 780–781.
Deng, X.(1994). “An asymptotic analysis of stationary and moving cracks with frictional contact along bimaterial interfaces and in homogeneous solids.” Int. J. Solids Struct., 31, 2407–2429.
Ingraffea, A., Linsbauer, H., and Rossamanith, H. (1987). “Computer simulation of cracking in a large arch dam downstream side cracking.” Proc., Int. Conf. on Fractures of Concrete and Rock, S. Shah and S. Swartz, eds., SEM/RILEM, Houston, 334–342.
Ingraffea, A. R.(1990). “Case studies of simulation of fracture in concrete dams.” Eng. Fract. Mech., 35, 553–564.
Irwin, G. R.(1957). “Analysis of stresses and strains near the end of a crack traversing a plate.” J. Appl. Mech., 24, 361–364.
Linsbauer, H. N.(1990). “Application of the methods of fracture mechanics for the analysis of cracking in concrete dams.” Eng. Fract. Mech., 35, 541–551.
Plizzari, G. A.(1997). “LEFM applications to concrete gravity dams.” J. Eng. Mech., 123, 808–815.
Rescher, O. J.(1990). “Importance of crack kinking in concrete dams.” Eng. Fract. Mech., 35, 503–524.
Saouma, V., Ayari, M., and Boggs, H. (1987). “Fracture mechanics of concrete gravity dams.” Proc., Int. Conf. on Fractures of Concrete and Rock, S. Shah and S. Swartz, eds., SEM/RILEM, Houston, 311–333.
Singh, R., Carter, B., Wawrzynek, P., and Ingraffea, A.(1998). “Universal crack closure integral for sif estimation.” Eng. Fract. Mech., 60, 133–146.
Stringfellow, R., and Freund, L.(1993). “The effect of interfacial friction on the buckle-driven spontaneous delamination of a compressed thin film.” Int. J. Solids Struct., 30, 1379–1395.
Sujatha, V. (2000). “Effects of Poisson’s ratio and friction on interfacial cracks” MSc (Eng.) thesis, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India.
Sun, C. T., and Qian, W.(1998a). “Frictional interfacial crack under combined shear and compressive loading.” Compos. Sci. Technol., 58, 1753–1761.
Sun, C. T., and Qian, W.(1998b). “A treatment of interfacial cracks in the presence of friction.” Int. J. Fract., 94, 371–382.
Widmann, R.(1990). “Fracture mechanics and its limits of application in the field of dam construction.” Eng. Fract. Mech., 35, 531–539.
Information & Authors
Information
Published In
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Mar 27, 2002
Accepted: Sep 5, 2002
Published online: Jun 13, 2003
Published in print: Jul 2003
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.