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Seismic fracture analysis of concrete arch dams incorporating the loading rate dependent size effect of concrete

  • Pirooznia, Amir (Department of Civil Engineering, School of Engineering, University of Zanjan) ;
  • Moradloo, Amir Javad (Department of Civil Engineering, School of Engineering, University of Zanjan)
  • Received : 2020.12.09
  • Accepted : 2021.05.07
  • Published : 2021.07.25

Abstract

The purpose of this study is to investigate the size effect, loading rate, and smeared crack models in the nonlinear seismic behavior of concrete arch dams. One of the important parameters in the design of arch concrete dams is the tensile strength of unreinforced mass concrete. Various fracture parameters obtained from experimental results reported for concrete in order to study the size-effect is used in this paper. In the present analysis, the smeared crack method is used in finite element analysis of the Morrow Point arch dam subjected to three components of the TAFT earthquake as a case study. The dependence of fracture, and especially of the size effect, on the loading rate is described. Models incorporating nonlinear analysis in three cases with and without the size effect of dam concrete and fluid-structure interaction are employed to evaluate and compare them. The water is taken as an inviscid, compressible fluid, and the foundation is rigid. From the study, it is concluded that the participation of the size effect leads to higher values of maximum displacements and stresses in benchmark points compared to the model that ignores the size effect. The crack initiation criterion based on the maximum tensile stress according to the size effect of concrete, and also the dynamic loading range should be defined. Results show considering fixed smeared crack models used in the concrete specimen as well as the size effect of concrete materials, will lead to the crack profile is more realistic and will represent near to real behavior of concrete fracture. The results are of significant interest for the concrete fracture of dams; hence the loading rate should be adopted for fracture properties obtained in dams.

Keywords

References

  1. ACI 446 (1997), Finite Element Analysis of Fracture in Concrete Structures: State-of-the-Art (ACI 446.3R-97), American Concrete Institute, Farmington Hills, MI, USA.
  2. Alam, S.Y., Zhu, R. and Loukili, A. (2020), "A new way to analyse the size effect in quasi-brittle materials by scaling the heterogeneity size", Eng. Fract. Mech., 225, 106864. https://doi.org/10.1016/j.engfracmech.2019.106864.
  3. Alembagheri, M. and Ghaemian, M. (2013), "Damage assessment of a concrete arch dam through nonlinear incremental dynamic analysis", Soil Dyn. Earthq. Eng., 44, 127-137. https://doi.org/10.1016/j.soildyn.2012.09.010.
  4. Alembagheri, M. and Ghaemian, M. (2015), "Seismic performance evaluation of a jointed arch dam", Struct. Infrastruct. Eng., 12, 256-274. https://doi.org/10.1080/15732479.2015.1009124.
  5. Alijani-Ardeshir, M., NavayiNeya, B. and Ahmadi, M.T. (2019), "Comparative study of various smeared crack models for concrete dams", Gradevinar, 71(4), 305-318. https://doi.org/10.14256/JCE.1540.2015.
  6. Arjmandi, S.A. and Lotfi, V. (2011), "Computing mode shapes of fluid-structure systems using subspace iteration methods", Sci. Iran, 18(6), 1159-1169. https://doi.org/10.1016/j.scient.2011.09.011.
  7. Aslani, F., Maia, L. and Santos, J. (2017), "Effect of specimen geometry and specimen preparation on the concrete compressive strength test", Struct. Eng. Mech., 62(1), 97-106. https://doi.org/10.12989/SEM.2017.62.1.097.
  8. Barzegar, F. and Maddipudi, S. (1997), "Three-dimensional modeling of concrete structures. Part I: Plain concrete", J. Struct. Eng., 123(10), 1339-1346. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1339).
  9. Barzegar, F. and Maddipudi, S. (1997), "Three dimensional modeling of concrete structures. Part II: Reinforced concrete", J. Struct. Eng., 123(10), 1347-1356. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1347).
  10. Bazant, Z.P. (2000), "Size effect", Int. J. Solid. Struct., 37(1-2), 69-80. https://doi.org/10.1016/S0020-7683(99)00077-3.
  11. Bazant, Z.P. and Oh, B.H. (1983), "Crack band theory for fracture of concrete", Mater. Struct., 16, 155-177. https://doi.org/10.1007/BF02486267.
  12. Bazant, Z.P., He, S., Plesha, M.E., Gettu, R. and Rowlands, R.E. (1991), "Rate and size effect in concrete fracture: Implications for dams". Proceedings of the International Conference on Dam Fracture, Denver, Colorado, USA, September.
  13. Brake, N., Allahdadi, H. and Adam, F. (2016), "Flexural strength and fracture size effects of pervious concrete", Constr. Build. Mater, 113, 536-543. https://doi.org/10.1016/j.conbuildmat.2016.03.045.
  14. Caglar, Y. and Sener, S. (2016), "Size effect tests of different notch depth specimens with support rotation measurements", Eng. Fract. Mech., 157, 43-55. https://doi.org/10.1016/j.engfracmech.2016.02.028.
  15. Calayir, Y. and Karaton, M. (2005), "Seismic fracture analysis of concrete gravity dams including dam-reservoir interaction", Comput. Struct., 83, 1595-1606. https://doi.org/10.1016/j.compstruc.2005.02.003.
  16. Carlonia, C., Cusatis, G., Salviato, M., Jia-Liang, L., Hoover, C.G. and Bazant, Z.P. (2019), "Critical comparison of the boundary effect model with cohesive crack model and size effect law", Eng. Fract. Mech., 215, 193-210. https://doi.org/10.1016/j.engfracmech.2019.04.036.
  17. Carlonia, C., Santandrea, M. and Wendner, R. (2017), "An investigation on the width and size effect in the evaluation of the fracture energy of concrete", Procedia Struct. Integ., 3, 450-458. https://doi.org/10.1016/j.prostr.2017.04.065.
  18. Chalioris, C.E. (2006), "Experimental study of the torsion of reinforced concrete members", Struct. Eng. Mech., 23(6), 713-737. https://doi.org/10.12989/SEM.2006.23.6.713.
  19. Chen, Y., Wang, K., Wang, X. and Zhou, W. (2013), "Strength, fracture and fatigue of pervious concrete", Constr. Build. Mater., 42, 97-104. https://doi.org/10.1016/j.conbuildmat.2013.01.006.
  20. Chu, X., Yu, C., Xiu, C. and Xu, Y. (2015), "Two scale modeling of behaviors of granular structure: size effects and displacement fluctuations of discrete particle assembly", Struct. Eng. Mech., 55(2), 315-334. https://doi.org/10.12989/SEM.2015.55.2.315.
  21. Duron, Z.H. and Hall, J.F. (1988), "Experimental and finite element studies of the forced vibration response of morrow point dam", Earthq. Eng. Struct. Dyn., 16(7), 1021-1039. https://doi.org/10.1002/eqe.4290160706.
  22. Espandar, R. and Lotfi, V. (2003), "Comparison of non-orthogonal smeared crack and plasticity models for dynamic analysis of concrete arch dams", Comput. Struct., 81(14), 1461-1474. https://doi.org/10.1016/S0045-7949(03)00083-X.
  23. Espandar, R., Lotfi, V. and Razaqpur, G. (2000), "Seismic analysis of concrete arch dams by smeared crack approach", 12th World Conference of Earthquake Engineering, Auckland, New Zealand, February.
  24. Fenves, G.L., Mojtahedi, S. and Reimer, R.B. (1989), "ADAP88: A computer program for nonlinear earthquake analysis of concrete arch dams", Report No. UCB/EERC 89/12; Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley, USA.
  25. Guanglun, W., Pekau, O.A., Chuhan, Z. and Shaumin, W. (2000), "Seismic fracture analysis of concrete gravity dams based on nonlinear fracture mechanics", Eng. Fract. Mech., 65, 67-87. https://doi.org/10.1016/S0013-7944(99)00104-6.
  26. Hall, J.F. and Chopra, A.K. (1983), "Dynamic analysis of arch dams including hydrodynamic effects", J. Eng. Mech., 109(1), 149-67. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:1(149).
  27. Hariri-Ardebili, M.A., Seyed-Kolbadi, S.M. and Mirzabozorg, H. (2013), "A smeared crack model for seismic failure analysis of concrete gravity dams considering fracture energy effects", Struct. Eng. Mech., 48(1), 17-39. http://doi.org/10.12989/sem.2013.48.1.017.
  28. Havlasek, P., Grassl, P. and Jirasek, M. (2016), "Analysis of size effect on strength of quasi-brittle materials using integral-type nonlocal models", Eng. Fract. Mech., 157, 72-85. https://doi.org/10.1016/j.engfracmech.2016.02.029.
  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. Hoover, C.G. and Bazant, Z.P. (2013), "Comprehensive concrete fracture tests: size effects of types 1 & 2, crack length effect and postpeak", Eng. Fract. Mech., 110, 281-289. https://doi.org/10.1016/j.engfracmech.2013.08.008.
  31. Hoover, C.G. and Bazant, Z.P. (2014), "Universal size-shape effect law based on comprehensive concrete fracture tests", J. Eng. Mech., 140(3), 473-479. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000627.
  32. Hoover, C.G. and Bazant, Z.P. (2014a), "Cohesive crack, size effect, crack band and work-of-fracture models compared to comprehensive concrete fracture tests", Int. J. Fract., 187, 133-143. https://doi.org/10.1007/s10704-013-9926-0.
  33. Hoover, C.G., Bazant, Z.P., Vorel, J., Wendner, R. and Hubler, M.H. (2013), "Comprehensive concrete fracture tests: Description and results", Eng. Fract. Mech., 114, 92-103. https://doi.org/10.1016/j.engfracmech.2013.08.007.
  34. Ince, R. (2004), "A novel meso-mechanical model for concrete fracture", Struct. Eng. Mech., 18(1), 91-112. http://doi.org/10.12989/sem.2004.18.1.091.
  35. Ince, R. and Arici, E. (2005), "Size effect in concrete blocks under local pressure", Struct. Eng. Mech., 19(5), 567-580. http://doi.org/10.12989/sem.2005.19.5.567.
  36. Korol, E., Tejchman, J. and Mroz, Z. (2017), "Experimental and numerical assessment of size effect in geometrically similar slender concrete beams with basalt reinforcement", Eng. Struct., 141, 272-291. https://doi.org/10.1016/j.engstruct.2017.03.011.
  37. Lee, J. and Fenves, G.L. (1998), "A plastic-damage concrete model for earthquake analysis of dams", Earthq. Eng. Struct. Dyn., 27(9), 937-956. https://doi.org/10.1002/(SICI)1096-9845(199809)27:9<937::AID-EQE764>3.0.CO;2-5.
  38. Liu, J., Wang, W., Zhao, Z. and Soh, A.K. (2017), "On elastic and plastic length scales in strain gradient plasticity", Struct. Eng. Mech., 61(2), 275-282. https://doi.org/10.12989/sem.2017.61.2.275.
  39. Lohrasbi, A.R. and Attarnejad, R. (2008), "Crack growth in concrete gravity dams based on discrete crack method", Am. J. Appl. Sci., 1(4), 318-323. https://doi.org/10.3844/ajeassp.2008.318.323.
  40. Lu, X.Z., Jiang, J.J. and Ye, L.P. (2006), "A composite crack model for concrete based on meshless method", Struct. Eng. Mech., 23(3), 217-232. http://doi.org/10.12989/sem.2006.23.3.217.
  41. Maekawa, K., Irawan, P. and Okamura, H. (1997), "Path-dependent three-dimensional constitutive laws of reinforced concrete-formulation and experimental verifications", Struct. Eng. Mech., 5(6), 743-754. http://doi.org/10.12989/sem.1997.5.6.743.
  42. Marzec, E., Tejchman, J. and Mroz, Z. (2019), "Numerical analysis of size effect in RC beams scaled along height or length using elasto-plastic-damage model enhanced by non-local softening", Finite Elem. Anal. Des., 157, 1-20. https://doi.org/10.1016/j.finel.2019.01.007.
  43. Menetrey, P. and Willam, K. (1995), "Tri-axial failure criterion for concrete and its generalization", ACI Struct. J., 92, 311-318. https://doi.org/10.14359/1132.
  44. 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. https://doi.org/10.1002/eqe.423.
  45. 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.
  46. Moallemi, S., Pietruszczak, S. and Mroz, Z. (2017), "Deterministic size effect in concrete structures with account for chemomechanical loading", Comput. Struct., 182, 74-86. https://doi.org/10.1016/j.compstruc.2016.10.003.
  47. Moradloo, A.J., Ahmadi, M.T. and Vahdani, S. (2008), "Nonlinear dynamic analysis of concrete arch dam", 14th World Conference of Earthquake Engineering, Beijing, China.
  48. Moradloo, A.J., Naserasadi, K. and Zamani, H. (2018), "Seismic fragility evaluation of arch concrete dams through nonlinear incremental analysis using smeared crack model", Struct. Eng. Mech., 68(6), 747-760. http://doi.org/10.12989/sem.2018.68.6.747.
  49. Mosler, J. and Meschke, G. (2004), "Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias", Comput. Meth. Appl. Mech. Eng., 193(30-32), 3351-3375. https://doi.org/10.1016/j.cma.2003.09.022.
  50. Muciaccia, G., Rosati, G. and Di Luzio, G. (2017), "Compressive failure and size effect in plain concrete cylindrical specimens", Constr. Build. Mater., 137, 185-194. https://doi.org/10.1016/j.conbuildmat.2017.01.057.
  51. Murthy, A.R.C., Palani, G.S. and Iyer, N.R. (2009), "Remaining life prediction of concrete structural components accounting for tension softening and size effects under fatigue loading", Struct. Eng. Mech., 32(3), 459-475. https://doi.org/10.12989/sem.2009.32.3.459.
  52. PEER Ground Motion Database (2020), Beta Version, University of California, Berkeley, CA, USA.
  53. Picazo, A., Alberti, M.G., Galvez, J.C., Enfedaque, A. and Vega, A.C. (2019), "The Size effect on flexural fracture of polyolefin fibre-reinforced concrete", Appl. Sci., 9(9), 1762. https://doi.org/10.3390/app9091762.
  54. Rong, H., Dong, W., Zhang, X. and Zhang, B. (2019), "Size effect on fracture properties of concrete after sustained loading", Mater. Struct., 52, 16. https://doi.org/10.1617/s11527-019-1326-0.
  55. Rots, J.G. and Blaauwendraad, J. (1989), "Crack models for concrete-Discrete or smeared? Fixed, multi-directional or rotating?", Heron, 34(1), 1989.
  56. Rots, J.G., Nauta, P., Ksters, G.M.A. and Blaauwendraad, J. (1985), "Smeared crack approach and fracture localization in concrete", Heron, 30(1), 1-48.
  57. Sim, J.I., Yang, K.H. and Jeon, J.K. (2013), "Influence of aggregate size on the compressive size effect according to different concrete types", Constr. Build. Mater., 44, 716-725. https://doi.org/10.1016/j.conbuildmat.2013.03.066.
  58. Sinaie, S. (2017), "Application of the discrete element method for the simulation of size effects in concrete samples", Int. J. Solid. Struct., 108, 244-253. https://doi.org/10.1016/j.ijsolstr.2016.12.022.
  59. Suryanto, B., Nagai, K. and Maekawa, K. (2010), "Smeared-crack modeling of R/ECC membranes incorporating an explicit shear transfer model", J. Adv. Concrete Technol., 8(3), 315-326. https://doi.org/10.3151/jact.8.315.
  60. Syroka-Korol, E. and Tejchman, J. (2014), "Experimental investigations of size effect in reinforced concrete beams failing by shear", Eng. Struct., 58, 63-78. https://doi.org/10.1016/j.engstruct.2013.10.012.
  61. Syroka-Korol, E., Tejchman, J. and Mroz, Z. (2014), "FE analysis of size effects in reinforced concrete beams without shear reinforcement based on stochastic elasto-plasticity with non-local softening", Finite Elem. Anal. Des., 88, 25-41. https://doi.org/10.1016/j.finel.2014.05.005.
  62. Tan, H. and Chopra, A.K. (1996), "Dam-foundation rock interaction effects in earthquake response of arch dams", J. Struct. Eng., 122(5), 528-538. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:5(528).
  63. Trivedi, N., Singh, R.K. and Chattopadhyay, J. (2015), "Investigation on fracture parameters of concrete through optical crack profile and size effect studies", Eng. Fract. Mech., 147, 119-139. https://doi.org/10.1016/j.engfracmech.2015.08.027.
  64. Turk, K., Caliskan, S. and Sukru Yildirim, M. (2005), "Influence of loading condition and reinforcement size on the concrete/reinforcement bond strength", Struct. Eng. Mech., 19(3), 337-346. http://doi.org/10.12989/sem.2005.19.3.337.
  65. Wang, X. and Liu, X. (2004), "Bond strength modeling for corroded reinforcement in reinforced concrete", Struct. Eng. Mech., 17(6), 863-878. http://doi.org/10.12989/sem.2004.17.6.863.
  66. Wu, B., Liu, C. and Wu, Y. (2014), "Compressive behaviors of cylindrical concrete specimens made of demolished concrete blocks and fresh concrete", Constr. Build. Mater., 53, 118-130. https://doi.org/10.1016/j.conbuildmat.2013.11.071.
  67. Zhang, H. and Ohamachi, T. (2000), "Seismic cracking and strengthening of concrete gravity dams", 12th World Conference of Earthquake Engineering, Auckland, New Zealand, February.
  68. Zhao, Z., Kwon, S.H. and Shah, S.P. (2008), "Effect of specimen size on fracture energy and softening curve of concrete: Part I. Experiments and fracture energy", Cement Concrete Res., 38(8-9), 1049-1060. https://doi.org/10.1016/j.cemconres.2008.03.017.