DOI https://doi.org/10.36487/ACG_repo/808_34
Cite As:
Das, R & Cleary, PW 2008, 'Assessing the Fracture of a Gravity Dam Under Earthquake Load Using a Mesh-Free Method', in Y Potvin, J Carter, A Dyskin & R Jeffrey (eds),
SHIRMS 2008: Proceedings of the First Southern Hemisphere International Rock Mechanics Symposium, Australian Centre for Geomechanics, Perth, pp. 171-183,
https://doi.org/10.36487/ACG_repo/808_34
Abstract:
Failure by fracture constitutes a dominant mode of failure for concrete gravity dams. In this paper, the fracture of a gravity dam is modelled under fluctuating dynamic loads simulating an earthquake. It uses a mesh-free Lagrangian method called Smoothed Particle Hydrodynamic (SPH). The transient stress field and the resulting damage evolution of the dam structure when subjected to sinusoidal ground motion are investigated. The SPH prediction of the crack initiation location and pattern is consistent with that predicted in the literature using Finite Element Method (FEM). The dynamic responses and the fracture patterns predicted are found to be physically sensible. It is found that the frequency and amplitude of the kinetic energy varies as the structure undergoes progressive fracture.
References:
ADDIN EN.REFLIST Aliabadi, M.H. and Rooke, D.P. (1991) Numerical Fracture Mechanics, Computational Mechanics Publications and Kluwer Academic Publishers.
Anderson, T.L. (1991) Fracture Mechanics: Fundamentals and Applications, CRC Press.
Ayari, M.L. and Saouma, V.E. (1990) Fracture mechanics based seismic analysis of concrete gravity dams using discrete cracks, Engineering Fracture Mechanics, 35, Publisher, pp. 587–598.
Barker, D.B., Fourney, W.L. and Dally, J.W. (1978) The influence of stress waves on explosive induced fragmentation-borehole crack network, 19th U.S. Symp. on Rock Mech., Lake Tahoe.
Batta, V. and Pekau, O.A. (1996) Application of boundary element analysis for multiple seismic cracking in concrete gravity dams, Earthquake Engineering and Structural Dynamics, 25, Publisher, pp. 15–30.
Bhattacharjee, S.S. and Leger, P. (1993) Seismic cracking and energy dissipation in concrete gravity dams, Earthquake Engineering and Structural Dynamics, 22, Publisher, pp. 991–1007.
Calayir, Y. and Karaton, M. (2005a) A continuum damage concrete model for earthquake analysis of concrete gravity dam-reservoir systems, Soil Dynamics and Earthquake Engineering, 25, Publisher, pp. 857–869.
Calayir, Y. and Karaton, M. (2005b) Seismic fracture analysis of concrete gravity dams including dam–reservoir interaction, Computers and Structures, 83, pp. 1595–1606.
Chopra, A.K. and Gupta, S. (1982) Hydrodynamic and foundation interaction effects in frequency response functions for concrete gravity dams, Earthquake Eng. Struct. Dynam., 10, Publisher, pp. 89–106.
Cleary, P., Ha, J., Alguine, V. and Nguyen, T. (2002) Flow modelling in casting processes, Applied Mathematical Modelling, 26, Publisher, pp. 171–190.
Cleary, P.W., Prakash, M. and Ha, J. (2006) Novel applications of smoothed particle hydrodynamics (SPH) in metal forming, Journal of Materials Processing Technology, 177, Publisher, pp. 41–48.
Cleary, P.W., Prakash, M., Ha, J., Stokes, N. and Scott, C. (2007) Smooth particle hydrodynamics: status and future potential, Progress in Computational Fluid Dynamics, 7, Publisher, pp. 70–90.
Das, R. and Cleary, P.W. (2008a) Modelling 3D fracture and fragmentation in a thin plate under high velocity projectile impact using SPH, 3rd SPHERIC workshop, Lausanne, Switzerland.
Das, R. and Cleary, P.W. (2008b) Modelling brittle fracture and fragmentation of a column during projectile impact using a mesh-free method, 6th International Conference on CFD in Oil and Gas, Metallurgical and Process Industries Trondheim, Norway.
Fujiwara, A. (1989) Experiments and scaling laws for catastrophic collisions, Publisher, pp. 240–265.
Ghrib, F. and Tinawi, R. (1995) Application of damage mechanics for seismic analysis of concrete gravity dams, Earthquake Engineering and Structural Dynamics, 24, Publisher, pp. 157–173.
Grady, D.E. and Kipp, M.E. (1980) Continuum modelling of explosive fracture in oil shale, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 17, Publisher, pp. 147–157.
Gray, J.P. and Monaghan, J.J. (2004) Numerical modelling of stress fields and fracture around magma chambers, Journal of Volcanology and Geothermal Research, 135, Publisher, pp. 259–283.
Gray, J.P., Monaghan, J.J. and Swift, R.P. (2001) SPH elastic dynamics, Computer Methods in Applied Mechanics and Engineering, 190, Publisher, pp. 6641–6662.
Guanglun, W., Pekau, O.A., Chuhan, Z. and Shaomin, W. (2000) Seismic fracture analysis of concrete gravity dams based on nonlinear fracture mechanics Engineering Fracture Mechanics, 65, Publisher, pp. 67–87.
Imaeda, Y. and Inutsuka, S-I. (2002) Shear Flows in Smoothed Particle Hydrodynamics, The Astrophysical Journal, 569, Publisher, pp. 501–518.
Libersky, L.D. and Petschek, A.G. (1990) Smooth particle hydrodynamics with strength of materials, In Advances in the Free-Lagrange Method (eds) Trease and Crowley, Berlin: Springer.
Liu, Z.S., Swaddiwudhipong, S. and Koh, C.G. (2004) High velocity impact dynamic response of structures using SPH method, International Journal of Computational Engineering Science, 5, Publisher, pp. 315–326.
Melosh, H.J., Ryan, E.V. and Asphaug, E. (1992) Dynamic fragmentation in impacts: hydrocode simulation of laboratory impacts, Journal of Geophysical Research, 97, Publisher, pp. 14735– 14759.
Monaghan, J.J. (1992) Smoothed particle hydrodynamics, Ann. Rev. Astron. Astrophys., 30, Publisher, pp. 543–574.
Monaghan, J.J. (2005) Smoothed particle hydrodynamics, Rep. Prog. Phys., 68, Publisher, pp. 1703–1759.
Shockey, D.A., Curran, D.R., Seaman, L., Rosenberg, J.T. and Petersen, C.F. (1974) Fragmentation of Rock under Dynamic Loads, International Journal of Rock Mechanics and Mining Sciences, 11, Publisher, pp. 303–317.
Thorne, B.J., Hommert, P.J. and Brown, B. (1990) Experimental and computational investigation of the fundamental mechanisms of catering, 3rd International Symposium on Rock Fragmentation by Blasting, Brisbane, Australia, pp. 117–124.
Wingate, C.A. and Fisher, H.N. (1993) Strength Modeling in SPHC, Los Alamos National Laboratory, Report No. LA-UR-93-3942.