Evaluation of Underwater Blast on Concrete Gravity Dams Using Three-Dimensional Finite-Element Model

Document Type : Research Article


Department of Civil Engineering, Ferdows Branch, Islamic Azad University, Ferdows, Iran


Dams may undergo the air or underwater blast loading. An underwater explosion can cause significantly more damage to targets in water as compared to an explosion of the same magnitude in the air. It is well known that underwater explosions damage structures of dams by shockwaves and bubble pulsations. This paper studies the effect of the underwater explosion on a concrete gravity dam in different blast locations, with and without considering bubble pulsations. Concrete Damage Plasticity (CDP) is a model that can be used to characterize the constitutive behavior of concrete by introducing scalar damage variables. The results showed that damage was most visible when an explosion occurred in the middle of the reservoir. Damages were significantly higher in the case of bubble impulse dams. According to the results of the damage, bubble pulsation is an explosion in one of the main parts and includes part of blasts energy. Therefore, the amounts of displacement for cases with gas bubble effects were significantly higher than those with an explosion modeled only on the application of shockwaves. The existence of sediments and surface waves can be considered in further studies.


[1] R. Rajendran, J.M. Lee, Blast loaded plates, Mar Struct. 22 (2) (2009) 99-127.
[2] C.C. Liang, Y.S. Tai, Shock responses of a surface ship subjected to noncontact underwater explosions, Ocean Engineering. 33 (2006) 748-772.
[3] I.K. Park, J.C. Kima, C.W. Ana, D.S. Cho, Measurement of Naval Ship Responses to Underwater Explosion Shock Loadings, Shock and Vibration. 10 (2003) 365-377.
[4] B. Luccioni, R.D. Ambrosini, R. F. Danesi, Analysis of building collapse under blast loads, Engineering Structures, 26 (1) (2006) 63-71.
[5] Y. Lu, Z. Wang, Characterization of structural effects from above-ground explosion using coupled numerical simulation, Comput. Struct. 84 (28) (2006) 1729-1742.
[6] R. Jayasooriya, D.P. Thambiratnam, N.J. Perera, V. Kosse, Blast and residual capacity analysis of reinforced concrete framed buildings, Eng. Struct. 33 (12) (2011) 3438-3492.
[7] F. Parisi, N. Augenti, Influence of seismic design criteria on blast resistance of RC framed buildings: A case study, Eng. Struct. 44 (2012) 78-93.
[8] W. Wang, D. Zhang, F. Lu, S.C. Wang, F. Tang, Experimental study and numerical simulation of the damage mode of a square reinforced concrete slab under close-in explosion, Eng Fail Anal., 27 (2013) 41-51.
[9] E.K. Tang, H. Hao, Numerical simulation of a cable-stayed bridge response to blast loads, Part I: Model development and response calculations”, Eng.Struct. 32 (10) (2010) 3180-3192.
[10] H. Hao, E.K. Tang, Numerical simulation of a cable-stayed bridge response to blast loads, Part II: Damage prediction and FRP strengthening, Eng.Struct. 32 (10) (2010) 3193-3205.
[11] J. Son, H.J. Lee, Performance of cable-stayed bridge pylons subjected to blast loading, EngStruct. 33 (4) (2011) 1133-1148.
[12] G.D. Williams, E.B. Williamson, Response of reinforced concrete bridge columns subjected to blast loads, J. Structural Engineering. 137(9) (2011) 903-913.
[13] W. Wang, D. Zhang, F. Lu, S.C. Wang, F. Tang, Experimental study and numerical simulation of the damage mode of a square reinforced concrete slab under close-in explosion, Eng. Fail. Anal. 27 (2013) 41-51.
[14] K. Spranghers, I. Vasilakos, D. Lecompte, H. Sol, J. Vantomme, Numerical simulation and experimental validation of the dynamic response of aluminum plates under free air explosions”, Int. J. Impact Eng. 54 (2013) 83-95.
[15] Y. Lu, Z. Wang, K. Chong, A comparative study of buried structure in soil subjected to blast load using 2D and 3D numerical simulations, Soil Dyn Earthquake Eng. 25 (4) (2005) 275-288.
[16] Z. Wang, Y. Lu, H. Hao, K. Chong, A full coupled numerical analysis approach for buried structures subjected to subsurface blast, ComputStruct. 83 (5) (2008) 339-356.
[17] G.W. Ma, X. Huang, J. C. Li, Simplified damage assessment method for buried structures against external blast load, J. Struct. Eng. (2010) 603-612.
[18] Q. Jin, G. Ding, A finite element analysis of ship sections subjected to underwater explosion, Int. J. Impact Eng. 38 (7) (2011) 558-566.
[19] A.G. Geffroy, P. Longère, B. Leblé, Fracture analysis and constitutive modeling of ship structure steel behavior regarding explosion, Eng. Fail. Anal. 18 (2) (2011) 670-681.
[20] Z. Zong, Y. Zhao, H. Li, A numerical study of whole ship structural damage resulting from close-in underwater explosion shock, Mar Struct. 31 (2013) 24-43.
[21] J. Falconer, The Dam Busters story, Sutton Publishing, Stroud, U.K. (2007).
[22] J. Zhou, G. Lin, Seismic fracture analysis and model testing of concrete gravity dams, Dam Eng. 3 (1) (1992) 35-46.
[23] G. Lin, J. Zhou, F. Chuiyi, Dynamic model rupture test and safety evaluation of concrete gravity dams, Dam Eng. (4) (1993) 173-186.
[24] W. Vanadit, L.K. Davis, Physical modeling of concrete gravity dam vulnerability to explosions, International WaterSide Security Conference (2010).
[25] L. Lu, X. Li, J. Zhou, Experimental study of the impact of a strong underwater shock wave on a concrete dam, Applied Mechanics and Materials, (2012) 1063-1070.
[26] L. Lu, X. Li, J. Zhou, Risk assessment method and protection goals of high concrete gravity dam subjected to far-field underwater nuclear explosion, Advanced Materials Research, 871 (2014) 21-26.
[27] D. J. Benson, Computational methods in Lagrangian and Eulerian hydrocodes, Comput. Methods Appl. Mech. Eng. 99 (2) (1992) 235-394.
[28] T. Krauthammer, R.K. Otani, Mesh, gravity and load effects on finite element simulations of blast loaded reinforced concrete structures, ComputStruct. 63(6) (1997) 1113-1120.
[29] B. Luccioni, D. Ambrosini, R. Danesi, Blast load assessment using hydrocodes, EngStruct. 28 (12) (2006) 1736-1744.
[30] H. Li, W. Zhang, Y. Chen, 3D Finite element analysis dynamic damage in gravity dam under blast-impact load, Rock Mechanics and Engineering. 25 (8) (2006) 1598-1605. (in Chinese).
[31] J. Xiang, X. la, Full coupled simulation of concrete dams subjected to underwater explosion, J. Shanghai Jiaotong University. 42(6) (2008) 1001-1004. (in Chinese).
[32] T. Yu, Dynamical response simulation of concrete dam subjected to underwater contact explosion Load, Computer Science and Information Engineering, WRI World Congress, (2009).
[33] H. Linsbauer, Hazard potential of zones of weakness in gravity dams under impact loading conditions, Int. J. of Frontiers of Structural and Civil Engineering. 5 (1) (2009) 90-97.
[34] H.Y. Kwak, K.M. Kang, I. Ko, J.H. Kang, Fire-ball expansion and subsequent shock wave propagation from explosives detonation, Int. J. Therm. Sci. 59 (2012) 9-16.
[35] S. Zhang, G. Wang, C. Wang, B. Pang, C. Du, Numerical simulation of failure modes of concrete gravity dams subjected to underwater explosion, Eng. Fail. Anal. 36 (2014) 49-64.
[36] G. Wang, S. Zhang, Damage prediction of concrete gravity dams subjected to underwater explosion shock loading, Eng. Fail. Anal. (2014) 72-91.
[37] G. Wang, S. Zhang, Y. Kong, H. Li, Comparative study of the dynamic response of concrete gravity dams subjected to underwater and air explosions, J. Performance of Constructed Facilities. 29(4) (2015) 1-15.
[38] J. Chen, X. Liu, Q. Xu, Numerical simulation analysis of damage mode of concrete gravity dam under close-in explosion, KSCE J. Civil Engineering. 21 (1) (2016) 397-407.
[39] P.D. Smith, J.G. Hetherington, Blast and ballistic loading of structures, Butterworth-Heinemann, (1974).
[40] ABAQUS User’s Manual, Hibbit, Karlson and Sorenson, Inc., Pawtucket, Rhode Island, (2016).
[41] Y. Sümer, M. AktaƟ, Defining parameters for concrete damage plasticity model”, Challenge Journal of Structural Mechanics. 1 (3) (2015) 149-155.
[42] T.L. Geers, K.S. Hunter, An integrated wave-effects model for an underwater explosion bubble, J AcoustSoc Am. 111 (4), (2002) 1584-1601.
[43] T.L. Geers, C.K. Park, Optimization of the G&H bubble model, Shock Vib. 12, (2005) 3-8.
[44] W.D. Reid, The response of surface ships to underwater explosions, DTIC Document Report ADA326738, (1996).
[45] R.H. Cole, Underwater explosions”, New York: Dover Publications, (1948).
[46] E. Fathallah, H. Qi, L. Tong, M. Helal, Numerical simulation and response of stiffened plates subjected to noncontact underwater explosion, Advances in Materials Science and Engineering. (2014) 1-17.
[47] H. Wang, X. Zhu, Y. Cheng, J. Liu, Experimental and numerical investigation of ship structure subjected to close-in underwater shock wave and following gas bubble pulse, journal of Marine Structures. 39 (2014) 90-117.
[48] A. K. Suykens, J. Brabanter, L. Lukas, J. Vandewalle, Weighted least squares support vector machines: robustness and sparse approximation, Neuro computing, 48(1) (2002) 85-105.
[49] H. A. David, Early sample measures of variability, Stat. Sci. 13(4) (1998) 368-377.
[50] A.K. Chopra, P. Chakrabarti, S. Gupta, Earthquake response of concrete gravity dams including hydrodynamic and foundation interaction effects, DTIC Document, (1980).