Geomechanics and Engineering

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Nonlinear dynamic analysis of concrete gravity dam-water-foundation rock systems utilizing a simplified non-associated elasto-plastic joint model

  • Vahid Lotfi (Department of Civil and Environmental Engineering, Amirkabir University of Technology) ;
  • Amin Shiehnezhad (Department of Civil and Environmental Engineering, Amirkabir University of Technology)
  • Received : 2023.01.19
  • Accepted : 2025.01.31
  • Published : 2025.02.10
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Abstract

In the present study, a simplified non-associated joint model is employed to evaluate the influence of apparent friction coefficient and cohesion on earthquake response of concrete gravity dam-water-foundation rock systems. The formulation and its theoretical concepts are discussed initially. Then, a primary verification of the model is considered to control its implementation and to show its characteristics. Thereafter, the sliding behavior of Pine Flat gravity dam-water-foundation rock is studied for different ratios of foundation rock to dam elastic moduli by application of the described nonlinear joint-model. It is shown that joint opening/closing as well as sliding affects the seismic response of gravity dams significantly for rigid foundation assumption case. However, its influence reduces as foundation rock modulus decreases and radiation damping effects increases. This is observed by comparing displacement histories and envelope of principal stresses in dam body. In particular, locations and magnitudes of maximum tensile and compressive stresses occurring in the dam body are also changed when joint modeling is considered in comparison with corresponding linear cases.

Keywords

References

  1. Ahmadi, M.T. and Razavi, S. (1992), "A three-dimensional joint opening analysis of an arch dam", Comput. Struct., 44(1-2), 187-192. https://doi.org/10.1016/0045-7949(92)90237-T.
  2. Ahmadi, M.T., Izadinia, M. and Bachmann, H. (2001), "A discrete crack joint model for nonlinear dynamic analysis of concrete arch dams", Comput. Struct., 79(4), 403-420. https://doi.org/10.1016/S0045-7949(00)00148-6.
  3. Akbari, R. and Lotfi, V. (2022), "Nonlinear dynamic analysis of concrete gravity dams utilizing a simplified continuum damage model and different damping algorithms", Asian J. Civil Eng., 24(2), 453-468. https://doi.org/10.1007/s42107-022-00511-2.
  4. Arabshahi, H.R. and Lotfi, V. (2008), "Earthquake response of concrete gravity dams including dam–foundation interface nonlinearities", Eng. Struct., 30(11), 3065-3073. https://doi.org/10.1016/j.engstruct. 2008.04.018.
  5. Arabshahi, H.R. and Lotfi, V. (2009), "Nonlinear dynamic analysis of arch dams with joint sliding mechanism", Eng. Comput., 26(5), 464-482. https://doi.org/10.1108/02644400910970158.
  6. Azmi, M. and Paultre, P. (2002), "Three-dimensional analysis of concrete dams including contraction joint non-linearity", Eng. Struct., 24(5), 757-771. https://doi.org/10.1016/S0141-0296(02)00005-6.
  7. Basu, U. and Chopra, A.K. (2003), "Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: Theory and finite-element implementation", Comput. Method. Appl. M., Eng., 192(11-12), 1337-1375. https://doi.org/10.1016/S0045-7825(02)00642-4.
  8. Chaves, J.W. and Fenves, G.L. (1993), "Earthquake analysis and response of concrete gravity dams including base sliding", Report no. UCB/EERC-93/07. Berkeley (CA): University of California at Berkeley.
  9. Chen, D.H., Yang, Z.H., Wang, M. and Xie, J.H. (2019), "Seismic performance and failure modes of the Jin'anqiao concrete gravity dam based on incremental dynamic analysis", Eng. Fail. Anal., 100(6), 227-244. https://doi.org/10.1016/j.engfailanal.2019.02.018.
  10. Dehghanmarvastya, S. and Lotfi, V. (2023a), "Dynamic analysis of Pine Flat dam-reservoir system utilizing Hagstrom Warburton truncation boundary condition", Coupled Syst. Mech., 12(4), 365-389. https://doi.org/10.12989/csm.2023.12.4.365.
  11. Dehghanmarvastya, S. and Lotfi, V. (2023b), "Application of G-N high-order boundary condition on time harmonic analysis of concrete gravity dam-reservoir systems", Eng. Comput., 40(2), 313-334. https://doi.org/10.1108/EC-06-2022-0401.
  12. Fenves, G.L., Mojtahedi, S. and Reimer, R.B. (1989) "ADAP-88: 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 at Berkeley, USA.
  13. Fenves, G.L., Mojtahedi, S. and Reimer, R.B. (1992), "Effects of contraction joints on earthquake response of an arch dam", J. Struct. Eng. - ASCE, 118(4), 1039-1055. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:4(1039).
  14. Ghaboussi, J., Wilson, E.L. and Isenberg, J. (1973), "Finite element for rock joints and interfaces", J. Soil Mech. Found. Division, 99(10), https://doi.org/10.1061/JSFEAQ.0001936.
  15. Hall, J.F., Dowling, M.J. and El-Aidi, B. (1991), Defensive design of concrete gravity dams. Report no. EERL 91-02. Pasadena (CA): California Institute of Technology.
  16. Hohberg, J.M. (1991), "Seismic arch dam analysis with full joint nonlinearity", Proceedings of the Int. Conference on Dam Fracture, Denver, Colorado.
  17. Hohberg, J.M. (1992), "A joint element for the nonlinear dynamic analysis of arch dams", PhD Thesis and Report No. 186, Institute of Structural Engineering, ETH Zurich, Switzerland.
  18. Hu, H. and Huang, Y. (2019), "A dynamic reliability approach to seismic vulnerability analysis of earth dams", Geomech. Eng., 18(6), 661-668, https://doi.org/10.12989/gae.2019.18.6.661.
  19. Kamalzare, M., Marquez, H. and Zapata, O. (2022), "Seismic evaluation of Southern California embankment dam systems using finite element modeling", Geomech. Eng., 31(3), 319-328. https://doi.org/10.12989/gae.2022.31.3.319.
  20. Karabulut, M. and Geniş, M. (2019), "Pseudo seismic and static stability analysis of the Torul Dam", Geomech. Eng., 17(2), 207-214. https://doi.org/10.12989/gae.2019.17.2.207.
  21. Karalar, M. and Cavusli, M. (2021), "Three dimensional seismic deformation-shear strain-swelling performance of America California Oroville Earth-Fill Dam", Geomech. Eng., 24(5), 443-456. https://doi.org/10.12989/gae.2021.24.5.443.
  22. Khazaee, A. and Lotfi, V. (2014a), "Application of perfectly matched layers in the transient analysis of dam-reservoir systems", J. Soil Dyn. Earthq. Eng., 60(1), https://doi.org/10.1016/j.soildyn.2014.01.005.
  23. Khazaee, A. and Lotfi, V. (2014b), "Time harmonic analysis of dam-foundation systems by perfectly matched layers", Struct. Eng. Mech., 50(3), https://doi.org/10.12989/sem.2014.50.3.349.
  24. Kuo, J.S.H. (1982), "Fluid–structure interaction added mass computations for incompressible fluid", Report No. UCB/EERC 82/09, Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley, USA.
  25. Lau, D.T., Noruziaan, B. and Razaqpur, A.G. (1998), "Modeling of contraction joint and shear effects on earthquake response of arch dams", Earthq. Eng. Struct. D., 27(10), 1013-1029. https://doi.org/10.1002/(SICI)1096-9845(199810)27:10<1013::AID-EQE765>3.0.CO;2-0
  26. Lee, J. (1996), "Theory and implementation of plastic-damage model for concrete structures under cyclic and dynamic loading", PhD dissertation, Department of Civil and Environmental Eng., University of California, Berkeley, California.
  27. Lee, J. and Fenves, G.L. (1998), "Plastic damage model for cyclic loading of concrete structures", J. Eng. Mech. - ASCE, 124(8), 892-900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
  28. Leger, P. and Katsouli M. (1989), "Seismic stability of concrete gravity dams", Earthq. Eng. Struct. D., 18(6), 889-902. https://doi.org/10.1002/eqe.4290180611.
  29. Lokke, A. and Chopra, A.K. (2018), "Direct finite element method for nonlinear earthquake analysis of 3-dimensional semiunbounded dam-water-foundation rock systems", Earthq. Eng. Struct. D., 47(5), 1309-1328. https://doi.org/10.1002/eqe.3019.
  30. Lotfi, V. (2004), "Direct frequency domain analysis of concrete arch dams based on FE-(FE-HE)-BE technique", Comput. Concrete, 1(3), 285-302. https://doi.org/10.12989/cac.2004.1.3.285.
  31. Lotfi, V (2009), "MAP-76: A program for analysis of concrete dams", Department of Civil & Environmental Engineering, Amirkabir University of Technology, Tehran, Iran.
  32. Lotfi, V. and Abdorazaghi, H. (2024), "Dynamic analysis of Pine Flat dam–water–foundation rock system utilizing the H-W truncation boundary condition", Eng. Comput., 41(1), 131-154. https://doi.org/10.1108/EC-02-2023-0082.
  33. Lotfi, V. and Espandar, R. (2002), "An investigation of joints behavior in seismic response of arch dams", Electron. J. Struct. Eng., 1(1), 17-31. https://doi.org/10.56748/ejse.222.
  34. Lotfi, V. and Espandar, R. (2004), "Seismic analysis of concrete arch dams by combined discrete crack and non-orthogonal smeared crack technique", Eng. Struct., 26, 27-37, https://doi.org/10.1016/j.engstruct. 2003.08.007.
  35. Lotfi, V. and Jahanitabar, A.A. (2024), "Application of single surface isotropic damage plasticity model in nonlinear dynamic analysis of the Koyna Dam", Eng. Comput., 41(6), 1602-1622. https://doi.org/10.1108/EC-02-2024-0108.
  36. Lotfi, V. and Lotfi, A. (2021), "Application of Hagstrom Warburton high-order truncation boundary condition on time harmonic analysis of concrete arch dam-reservoir systems", Eng. Comput., 38(7), 2996-3020, https://doi.org/10.1108/EC-08-2020-0441.
  37. Lotfi, V. and Lotfi, A. (2022), 'Time harmonic analysis of concrete arch dam-reservoir systems by utilizing GN high-order truncation condition", Scientia Iranica, 29(6), 2825-2836. https://doi.org/10.24200/sci.2022.57180.5102.
  38. Lotfi, V. and Omidi, O. (2012), "Dynamic analysis of the Koyna dam using three-dimensional plastic-damage modelling", J. Dam Eng., 22(3), 197-226.
  39. Lotfi, V. and Samii, A. (2012), "Dynamic analysis of concrete gravity dam-reservoir systems by Wavenumber approach in the frequency domain", Earthq. Struct., 3(3-4), 533-548. https://doi.org/10.12989/eas.2012.3.3.533.
  40. Lotfi, V. and Shiehnezhad, A. (2023), "Nonlinear dynamic analysis of concrete gravity dams by a simplified non-associated elasto-plastic joint model", Submitted to the Journal of Scientia Iranica.
  41. Lotfi, V. and Zenz, G. (2018), "Application of Wavenumber-TD approach for time harmonic analysis of concrete arch dam reservoir systems", Coupled Syst. Mech., 7(3), 353-371. https://doi.org/10.12989/csm.2018.7.3.353.
  42. Lotfi, V. and Zenz, G. (2019), "Time harmonic analysis of concrete gravity dam-reservoir systems by Wavenumber-TD approach", J. Dam Eng., 30(2), 41-63.
  43. Nasiri, F., Javdanian, H. and Heidari, A. (2020), "Seismic response analysis of embankment dams under decomposed earthquakes", Geomech. Eng., 21(1), 35-51. https://doi.org/10.12989/gae.2020. 21.1.035.
  44. Omidi, O. and Lotfi, V. (2017), "Seismic plastic–damage analysis of mass concrete blocks in arch dams including contraction and peripheral joints", Soil Dyn. Earthq. Eng., 95, 118-137. https://doi.org/10.1016/j.soildyn.2017.01.026.
  45. Samii, A. and Lotfi, V. (2012), "High-order adjustable boundary condition for absorbing evanescent modes of waveguides and its application in coupled fluid-structure analysis", Wave Motion, 49(2), 238-257. https://doi.org/10.1016/j.wavemoti.2011.10.001.
  46. Soysal, B.F., Binici, B. and Arici, Y. (2016), "Investigation of the relationship of seismic intensity measures and the accumulation of damage on concrete gravity dams using incremental dynamic analysis", Earthq. Eng. Struct. D., 45(5), 719-737. https://doi.org/10.1002/eqe.2681.
  47. Soysal, B.F. and Arici, Y. (2024), "Crack width – seismic intensity relationships for concrete gravity dams", J. Earthq. Eng., 28(2), 565-581. https://doi.org/10.1080/13632469.2023.2220048.
  48. Westergaard, H.M. (1933), "Water pressures on dam during earthquakes", T. Am. Soc. Civil Engineers, 98(2), 418-433. https://doi.org/10.1061/TACEAT.0004496.
  49. Wilson, E.L. (2002), "Three dimensional static and dynamic analysis of structures", Computers and Structures, Berkeley, California.