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http://dx.doi.org/10.12989/sem.2013.48.1.017

A smeared crack model for seismic failure analysis of concrete gravity dams considering fracture energy effects  

Hariri-Ardebili, Mohammad Amin (Department of Civil, Environmental and Architectural Engineering, University of Colorado at Boulder)
Seyed-Kolbadi, Seyed Mahdi (Department of Civil Engineering, K. N. Toosi University of Technology)
Mirzabozorg, Hasan (Department of Civil Engineering, K. N. Toosi University of Technology)
Publication Information
Structural Engineering and Mechanics / v.48, no.1, 2013 , pp. 17-39 More about this Journal
Abstract
In the present paper, a coaxial rotating smeared crack model is proposed for mass concrete in three-dimensional space. The model is capable of applying both the constant and variable shear transfer coefficients in the cracking process. The model considers an advanced yield function for concrete failure under both static and dynamic loadings and calculates cracking or crushing of concrete taking into account the fracture energy effects. The model was utilized on Koyna Dam using finite element technique. Dam-water and dam-foundation interactions were considered in dynamic analysis. The behavior of dam was studied for different shear transfer coefficients considering/neglecting fracture energy effects. The results were extracted at crest displacement and crack profile within the dam body. The results show the importance of both shear transfer coefficient and the fracture energy in seismic analysis of concrete dams under high hydrostatic pressure.
Keywords
concrete gravity dam; smeared crack model; shear transfer coefficient; fracture energy;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Al-Rub, R.K.A. and Kim, S.M. (2010), "Computational applications of a coupled plasticity-damage constitutive model for simulating plain concrete fracture", Eng Fract Mech, 77(10), 1577-1603.   DOI   ScienceOn
2 Ayari, M.L. and Saouma, V.E. (1990), "A fracture mechanics based seismic analysis of concrete gravity dams", Eng Fract Mech, 35, 587-598.   DOI   ScienceOn
3 Babu, R., Benipal, G.S. and Singh, A.K. (2005), "Constitutive modeling of concrete: An overview", Asian J. Civil Eng., 6(4), 211-246.
4 Bazant, Z.P. (2002), "Concrete fracture models: testing and practice", Eng Fract Mech, 69, 165-205.   DOI   ScienceOn
5 Bhattacharjee, S.S. and Leger, P. (1994), "Application of NLFM models to predict cracking in concrete gravity dams", Struct. Eng., 120(4), 1255-1271.   DOI   ScienceOn
6 Bigoni, D. and Piccolroaz, A. (2004), "Yield criteria for quasi brittle and frictional materials", Solid. Struct., 41, 2855-2878.   DOI   ScienceOn
7 Briihwiler, E. and Wittmann, F.H. (1990), "Failure of dam concrete subjected to seismic loading conditions", Eng. Fract. Mech., 35, 565-571.   DOI   ScienceOn
8 Broujerdian, V. and Kazemi, M.T. (2010), "Smeared rotating crack model for reinforced concrete membrane elements", ACI Struct. J., 107(4), 411-418.
9 Calayir, Y. and Karaton, M. (2005), "A continuum damage concrete model for earthquake analysis of concrete gravity dam-reservoir systems", Soil Dyn. Earthq. Eng., 25(11), 857-869.   DOI   ScienceOn
10 Calayir, Y. and Karaton, M. (2005), "Seismic fracture analysis of concrete gravity dams including dam-reservoir interaction", Comput. Struct., 83(19-20), 1595-1606.   DOI   ScienceOn
11 Carpinteri, A., Valente, S.V., Ferrara, G. and Imperato, L. (1992), "Experimental and numerical fracture modeling of a gravity dam", Proceedings of the 1st International Conference on Fracture Mechanics of Concrete Structures, Breckenridge, Colorado.
12 Chopra, A.K. and Chakrabarti, P. (1973), "The Koyna earthquake and the damage to Koyna dam", Bul. Seismol. Soc. Am., 63, 381-397.
13 Cicekli, U., Voyiadjis, G.Z. and Abu Al-Rub, R.K. (2007), "A plasticity and anisotropic damage model for plain concrete", Int. J. Plasticity, 23, 1874-1900.   DOI   ScienceOn
14 Duan, K., Hu, X. and Wittmann, F.H. (2007), "Size effect on specific fracture energy of concrete", Eng. Fract. Mech., 74(102), 87-96.   DOI   ScienceOn
15 Duan, K., Hu, X. and Wittmann, F.H. (2003), "Boundary effect on concrete fracture induced by non-constant fracture energy distribution", Eng. Fract. Mech., 70(16), 2257-2268.   DOI   ScienceOn
16 Einsfeld, R.A. and Velasco, M.S.L. (2006), "Measurement of the ratio GF/Gf for numerical analysis of concrete structures", Latin Am. J. Solid. Struct., 3, 361-376.
17 Federal Energy Regulatory Commission (FERC). (1999), "Engineering guidelines for the evaluation of hydropower projects, Chapter 11: Arch Dams", Washington, USA.
18 Ghaemian, M. and Ghobarah, A, (1999), "Nonlinear seismic response of concrete gravity dams with dam-reservoir interaction", Eng. Struct., 21, 306-315.   DOI   ScienceOn
19 Grassl, P. and Jirasek, M. (2006), "Damage-plastic model for concrete failure", Int. J. Solid. Struct., 43(22-23), 7166-7196.   DOI   ScienceOn
20 Ghrib, F. and Tinawi, R. (1995), "Nonlinear behavior of concrete dams using damage mechanics", Eng. Mech., ASCE, 121(4), 513-526.   DOI   ScienceOn
21 Guanglun, W., Pekau, O.A., Chuhan, Z. and Shaomin, W. (2000), "Seismic fracture analysis of concrete gravity dams based on nonlinear fracture mechanics", Eng. Fract. Mech., 65(1), 67-87.   DOI   ScienceOn
22 Hal, J.F. (1988), "The dynamic and earthquake behavior of experimental behavior and observational evidence", Soil Dyn. Earthq. Eng., 7(2), 58-121.   DOI   ScienceOn
23 Hariri-Ardebili, M.A. and Mirzabozorg, H. (2013), "A comparative study of the seismic stability of coupled arch dam-foundation-reservoir systems using infinite elements and viscous boundary models", J. Struct. Stabil. Dyn., 13(6), DOI: 10.1142/S0219455413500326.   DOI
24 Hariri-Ardebili, M.A., Mirzabozorg, H. and Kianoush, M.R. (2013), "Seismic analysis of high arch dams considering contraction-peripheral joints coupled effects", Centr. Eur. J. Eng., 3(3), 549-564.   DOI
25 Hariri-Ardebili, M.A., Mirzabozorg, H. and Ghasemi, A. (2013), "Strain-based seismic failure evaluation of coupled dam-reservoir-foundation system", Coupl. Syst. Mech., 2(1), 85-110.   DOI   ScienceOn
26 Hariri-Ardebili, M.A. and Mirzabozorg, H. (2012), "Seismic performance evaluation and analysis of major arch dams considering material and joint nonlinearity effects", ISRN Civil Eng., Article ID 681350.
27 Hariri-Ardebili, M.A. and Mirzabozorg, H. (2012), "Effects of near-fault ground motions in seismic performance evaluation of a symmetry arch dam", Soil Mech. Found. Eng., 49(5), 192-199.   DOI
28 Labadi, Y. and Hannachi, N.E. (2005), "Numerical simulation of brittle damage in concrete", Int. J. Strength . 37(3), 268-281.
29 Heinrich, C. and Waasy, A.M. (2012), "Investigation of progressive damage and fracture in laminated composites using the smeared crack approach", Proceedings of the 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii.
30 Hu, X. and Duan, K. (2004), "Influence of fracture process zone height on fracture energy of concrete", Cement Concrete Res., 34(8), 1321-1330.   DOI   ScienceOn
31 Lohrasbi, A.R. and Attarnejad, R. (2008), "Crack growth in concrete gravity dams based on discrete crack method", Am J. Eng. Appl. Sci, 1(4), 318-323.   DOI
32 Malvar, L.J. and Fourney, M.E. (1990), "A three dimensional application of the smeared crack approach", Eng. Fract. Mech., 35(1-3), 251-260.   DOI   ScienceOn
33 Malvar, L.J. and Warren, G.E. (1988), "Fracture energy for three-point-bend tests on single-edge-notched beams", Exp. Mech, 45, 266-272.
34 Menetrey, P.H. and Willam, K.J. (1995), "Tri-axial failure criterion for concrete and its generalization", Int. J. ACI Struct, 92, 311-318.
35 Mirzabozorg, H., Akbari, M. and Hariri-Ardebili, M.A. (2012), "Wave passage and incoherency effects on seismic response of high arch dams", Earthq. Eng Eng Vib, 11(4), 567-578.   DOI
36 Mirzabozorg, H. and Ghaemian, M. (2005), "Nonlinear behavior of mass concrete in three-dimensional problems using smeared crack approach", Earthq Eng Struct Dyn, 34, 247-269.   DOI   ScienceOn
37 Mirzabozorg, H., Ghaemian, M. and Kianoush, R. (2004), "Damage mechanics approach in seismic analysis of concrete gravity dams including dam-reservoir interaction", Eur Earthqe Eng, XVIII(3), 17-24.
38 Omidi, O., Valliappan, S. and Lotfi, V. (2013), "Seismic cracking of concrete gravity dams by plastic-damage model using different damping mechanisms", Finite Elem. Anal. Des., 63, 80-97.   DOI   ScienceOn
39 Mirzabozorg, H., Khaloo, A.R., Ghaemian, M. and Jalalzadeh, B. (2007), "Non-uniform cracking in smeared crack approach for seismic analysis of concrete dams in 3D space", Earthq Eng. Eng. Seism., 2, 48-57.
40 Moslera, J. and Meschke, G. (2004), "Computational failure mechanics embedded crack vs. smeared crack models: a comparison of element wise discontinuous crack path approaches with emphasis on mesh bias", Comput Meth. App. Mech. Eng., 193(30-32), 3351-3375.   DOI   ScienceOn
41 Pan, J., Zhang, C., Xu, Y. and Jin, F. (2011), "A comparative study of the different procedures for seismic cracking analysis of concrete dams", Soil Dyn. Earthq. Eng., 31(11), 1594-1606.   DOI   ScienceOn
42 PEER ground motion database (2010), http://peer.berkeley.edu/peer_ground_motion_database, Beta version, University of California, Berkeley, CA, USA.
43 Phama, H.B., Al-Mahaidia, R. and Saouma, V. (2006), "Modeling of CFRP-concrete bond using smeared and discrete cracks", Proceedings of the 13th International Conference on Composite Structures, 75(1-4), 145-150.
44 RILEM TC 50-FMC (1985), "Determination of fracture energy of mortar and concrete by means of three-point bend tests on notched beams", Mater. Struct., 18(106), 285-290.   DOI
45 Saini, S.S. and Krishna, J. (1974), "Overturning of top profile of the Koyna dam during severe ground motion", Earthq. Eng. Struct. Dyn., 2(3), 207-217.
46 Saouma, V.E. and Morris, D. (1998), "Application of fracture mechanics to concrete dams: a detailed case study". Dam Eng., 9(4), 321-344.
47 Saouma, V.E. and Milner, D. (1996), "On why fracture mechanics should be used in dam safety evaluation", Dam Eng., 7(3), 215-231.
48 Voyiadjis, G.Z., Taqieddin, Z.N. and Kattan, P.I. (2009), "Theoretical formulation of a coupled elastic-plastic anisotropic damage model for concrete using the strain energy equivalence concept", Int. J. Damage Mech., 18, 603-638.   DOI
49 Suryanto, B., Nagai, K. and Maekawa, K. (2010), "Smeared-crack modeling of R/ECC membranes incorporating an explicit shear transfer model", J. Adv. Concrete Tech., 8(3), 315-326.   DOI
50 US Army Corps of Engineers (USACE) (2007), "EM 1110-2-6053: Earthquake design and evaluation of concrete hydraulic structures", Washington, USA.
51 Voyiadjis, G.Z. and Taqieddin, Z.N. (2009), "Elastic plastic and damage model for concrete materials, Part I: Theoretical formulation", Int. J. Struct. Change. Solid. - Mech. Appl., 1(1), 31-59.
52 Weihe, S., Kroplin, B. and De Borst. R. (1998), "Classification of smeared crack models based on material and structural properties", Int. J. Solid. Struct., 35(12), 1289-1308.   DOI   ScienceOn
53 Xue, X. and Yang, X. (2013), "A damage model for concrete under cyclic actions", Int. J. Damage Mech., DOI: 10.1177/1056789513487084.   DOI   ScienceOn
54 Yu, R.C., Ruiz, G. and Chaves, E.W.V. (2008), "A comparative study between discrete and continuum models to simulate concrete fracture", Eng. Fract. Mech., 75, 117-127.   DOI   ScienceOn