LEFM Applications to Concrete Gravity Dams
Publication: Journal of Engineering Mechanics
Volume 123, Issue 8
Abstract
The evaluation of the safety factor of old dams under higher flood levels in the last few years has been investigated under the assumptions of fracture mechanics. The extensive need for research in this field was recognized by the U.S. Army Corps of Engineers that now requires a fracture mechanics investigation prior to the rehabilitation of cracked massive concrete structures. In large structures, such as dams, because of the smaller size of the fracture process zone with respect to the structure size, limited errors should occur under the assumptions of linear elastic fracture mechanics (LEFM). In this paper, theoretical considerations and approximate expressions for the evaluation of stress intensity factors and crack propagation in concrete dams are presented. Furthermore, a parametric study of gravity dams under the assumptions of LEFM is performed. Finally, a scale law for the evaluation of the maximum water level carried by cracked dams is proposed.
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References
1.
Bažant, Z. P. (1995). “Scaling theories for quasibrittle fracture: recent advances and new directions.”Proc., 2nd Int. Conf. on Fracture Mech. of Concrete Struct., FraMCoS2, F. H. Wittmann, ed., Aedificato, Freiburg, Germany, 515–534.
2.
Bourdarot, E., Mazars, J., and Saouma, V. E. (eds.) (1994). Proc., Int. Workshop on Dam Fracture and Damage. A. A. Balkema, Rotterdam, The Netherlands.
3.
Broek, D. (1986). Elementary engineering fracture mechanics, 4th Ed., Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
4.
Brühwiler, E. (1988). “Fracture mechanics of dam concrete subjected to quasi-static and seismic loading conditions,” PhD thesis, Swiss Federal Inst. of Technol., Lausanne, Switzerland (in German).
5.
Brühwiler, E., and Saouma, V. E. (1991). “Fracture mechanics analysis of concrete hydraulic structures.”Engrg. Tech. Letter No. 1110-8-16(FR), Dept. of the Army, U.S. Army Corps of Engrs., Washington, D.C.
6.
Brühwiler, E., and Saouma, V. E. (1994). “The effect of hydrostatic pressure on the fracture of concrete.”Res. Rep. Prepared for Electric Power Res. Inst., Palo Alto, Calif., Univ. of Colorado at Boulder, Colo.
7.
Brühwiler, E., and Saouma, V. E.(1995). “Water fracture interaction in concrete. II: hydrostatic pressures cracks.”ACI Mat. J., 92(4), 383–390.
8.
Carpinteri, A., and Chiaia, B. (1995). “Multifractal scaling law for the fracture energy variation of concrete structures.”Proc., 2nd Int. Conf. on Fracture Mech. of Concrete Struct., FraMCoS2, F. H. Wittmann, ed., Aedificato, Freiburg, Germany, 581–596.
9.
Carpinteri, A., Valente, S., Ferrara, G., and Imperato, L. (1992). “Experimental and numerical fracture modelling of a gravity dam.”Proc., 1st Int. Conf. on Fracture Mech. of Concrete Struct., FraMCoS1, Z. P. Bažant, ed., Elsevier, Oxford, England, 351–361.
10.
Červenka, J. (1994). “Modeling of generalized mixed mode crack propagation in concrete,” PhD thesis, Univ. of Colorado at Boulder, Colo.
11.
Erdogan, F., and Sih, G. C.(1963). “On the crack extension in plates under plane loading and transverse shear.”J. Basic Engrg., 85, 519–527.
12.
Gálvez, J., Llorca, J., and Elices, M. (1994). “Stability of concrete dams: a fracture mechanics approach.”Proc., Int. Workshop on Dam Fracture and Damage, E. Bourdarot, J. Mazars, and V. E. Saouma, eds., A. A. Balkema, Rotterdam, The Netherlands, 31–40.
13.
He, S., Plesha, M. E., Rowlands, R. E., and Bažant, Z. P.(1992). “Fracture energy tests of dam concrete with rate and size effects.”Dam Engrg., Surrey, U.K., 3(2), 139–159.
14.
Ingraffea, A. R. (1990). “Case studies of simulation of fracture in concrete dams.”Engrg. Fracture Mech., 35(1–3), 553–564.
15.
Linsbauer, H. N., and Rossmanith, H. P.(1984). “Back face rotation correction for trapezoidal specimens.”Engrg. Fracture Mech., 19(2), 195–205.
16.
Plizzari, G. A., and Saouma, V. E. (1995). “Linear or nonlinear fracture mechanics of concrete?”Proc., 2nd Int. Conf. on Fracture Mech. of Concrete Struct., FraMCoS2, F. H. Wittmann, ed., Aedificato, Freiburg, Germany, 1377–1386.
17.
Plizzari, G. A., Waggoner, F. A., and Saouma, V. E.(1995). “Centrifuge modelling and analysis of concrete gravity dams.”J. Struct. Engrg., ASCE, 121(10), 1471–1479.
18.
Reich, R. W. (1993). “On the marriage of mixed finite element methods and fracture mechanics: an application to concrete dams,” PhD thesis, Univ. of Colorado at Boulder, Colo.
19.
Reich, R. W., Červenka, J., and Saouma, V. E. (1994). “MERLIN, a three-dimensional finite element program based on a mixed-iterative solution strategy for problems in elasticity, plasticity, and linear and nonlinear fracture mechanics.”Rep., Electric Power Res. Inst., Palo Alto, Calif.
20.
Rescher, O.-J. (1990). “Importance of cracking in concrete dams.”Engrg. Fracture Mech., 35(1–3), 503–524.
21.
RILEM TC 90-FMA. (1989). Fracture mechanics of concrete structures—from theory to applications, state of the art report. L. Elfgren, ed., Chapman & Hall, London, England.
22.
Saouma, V. E., Ayari, M. L., and Boggs, H. L. (1987). “Fracture mechanics of concrete gravity dams.”Res. Rep. Prepared for Concrete Dam Div. of U.S. Bureau of Reclamation, Univ. of Colorado at Boulder, Colo.
23.
Saouma, V. E., Brühwiler, E., and Boggs, H. L.(1990). “A review of fracture mechanics applied to concrete dams.”Dam Engrg., Surrey, U.K., 1, 41–57.
24.
Saouma, V. E., Broz, J. J., and Boggs, H. L.(1991a). “In-situ field testing for fracture properties of dam concrete.”J. Mat. in Civ. Engrg., ASCE, 3(3), 219–234.
25.
Saouma, V. E., Broz, J. J., Brühwiler, E., and Boggs, H. L.(1991b). “Effect of aggregate and specimen size on fracture properties of dam concrete.”J. Mat. in Civ. Engrg., ASCE, 3(3), 204–218.
26.
Saouma, V. E., Dungar, R., and Morris, D. (1991c). Proc., Dam Fracture. Electric Power Res. Inst. (EPRI), Palo Alto, Calif.
27.
Saouma, V. E., Červenka, J., Slowik, V., and Chandra Kishen, J. M. (1994). “Mixed mode fracture of rock-concrete interfaces.”Proc., U.S.-Europe Workshop on Fracture and Damage of Quasi-Brittle Mat.: Experiment, Modeling and Comp. Anal., Z. P. Bažant, ed., E & FN SPON, London, England, 175–182.
28.
Stern, M., Becker, E. B., and Dunham, R. S.(1976). “A contour integral computation of mixed mode stress intensity factors.”Int. J. Fracture, 12(3), 359–368.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Aug 1, 1997
Published in print: Aug 1997
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