참고문헌
- Aliabadi, M.H. and Rooke, D.P. (1991), Numerical Fracture Mechanics, Computational Mechanics Publications and Kluwer Academic Publishers.
- Bonet, J. and Kulasegaram, S. (2001), "Remarks on tension instability of Eulerian and Lagrangian corrected smooth particle hydrodynamics (CSPH) methods", Int. J. Numer. Meth. Eng., 52(11), 1203-1220. https://doi.org/10.1002/nme.242
- Cedric, T., Janssen, L.P.B.M. and Pep, E. (2005), "Smoothed particle hydrodynamics model for phase separating fluid mixtures. I. General equations", Physical Review E (Statistical, nonlinear, and soft matter Physics), 72(1), 016713. https://doi.org/10.1103/PhysRevE.72.016713
- Chen, J.K., Beraun, J.E. and Jih, C.J. (1999), "Improvement for tensile instability in smoothed particle hydrodynamics", Comput. Mech., 23(4), 279-287. https://doi.org/10.1007/s004660050409
- Cleary, P.W. (1998), "Modelling confined multi-material heat and mass flows using SPH", Appl. Math. Model., 22(12), 981-993. https://doi.org/10.1016/S0307-904X(98)10031-8
- Cleary, P.W. (2010a), "Elastoplastic deformation during projectile-wall collision", Appl. Math. Model., 34(2), 266-283. https://doi.org/10.1016/j.apm.2009.04.004
- Cleary, P.W. (2010b), "Extension of SPH to predict feeding, freezing and defect creation in low pressure die casting", Appl. Math. Model., 34(11), 3189-3201. https://doi.org/10.1016/j.apm.2010.02.012
- Cleary, P.W. and Das, R. (2010a), "The potential for SPH modelling of solid deformation and fracture", IUTAM symposium on theoretical, Computational and modelling aspects of inelastic media, B.D. Reddy, Springer Netherlands, Volume 11, pp. 287-296.
- Cleary, P.W. and Monaghan, J.J. (1999), "Conduction modelling using smoothed particle hydrodynamics", J. Comput. Phys., 148(1), 227-264. https://doi.org/10.1006/jcph.1998.6118
- Cleary, P., Ha, J., Alguine, V. and Nguyen, T. (2002), "Flow modelling in casting processes", Appl. Math. Model., 26(2), 171-190. https://doi.org/10.1016/S0307-904X(01)00054-3
- Cleary, P.W., Ha, J., Prakash, M. and Nguyen, T. (2006a), "3D SPH flow predictions and validation for high pressure die casting of automotive components", Appl. Math. Model., 30(11), 1406-1427. https://doi.org/10.1016/j.apm.2006.03.012
- Cleary, P.W., Prakash, M. and Ha, J. (2006b), "Novel applications of smoothed particle hydrodynamics (SPH) in metal forming", J. Mater. Process. Tech., 177(1-3), 41-48. https://doi.org/10.1016/j.jmatprotec.2006.03.237
- Cleary, P.W., Prakash, M., Ha, J., Stokes, N. and Scott, C. (2007), "Smooth particle hydrodynamics: status and future potential", Prog. Comput. Fluid Dy., 7(2-4), 70-90. https://doi.org/10.1504/PCFD.2007.013000
- Cleary, P.W., Prakash, M., Das, R. and Ha, J. (2012), "Modelling of metal forging using SPH", Appl. Math. Model., 36(8), 3836-3855. https://doi.org/10.1016/j.apm.2011.11.019
- Das, R. and Cleary, P.W. (2006), "Uniaxial compression test and stress wave propagation modelling using SPH", Proceedings of the Fifth International Conference on Computational Fluid Dynamics in the Process Industries. Melbourne, Australia,
- Das, R. and Cleary, P.W. (2010), "Effect of rock shapes on brittle fracture using smoothed particle hydrodynamics", Theor. Appl. Fract. Mec., 53(1), 47-60. https://doi.org/10.1016/j.tafmec.2009.12.004
- Das, R. and Cleary, P.W. (2013), "A mesh-free approach for fracture modelling of gravity dams under earthquake", Int. J. Fracture, 179(1-2), 9-33. https://doi.org/10.1007/s10704-012-9766-3
- Das, R. and Cleary, P.W. (2015a), "Evaluation of accuracy and stability of the classical SPH method under uniaxial compression", J. Sci. Comput., 64(3), 858-897. https://doi.org/10.1007/s10915-014-9948-4
- Das, R. and Cleary, P.W. (2015b), "Novel application of the mesh-free SPH method for modelling thermo-mechanical responses in arc welding", Int. J. Mech. Mater. D., 11(3), 337-355. https://doi.org/10.1007/s10999-014-9279-5
- Davison, L. and Stevens, A.L. (1973), "Thermomechanical constitution of spalling elastic bodies", J. Appl. Phys., 44(2), 668-674. https://doi.org/10.1063/1.1662242
- Dyka, C.T. and Ingel, R.P. (1995), "An approach for tension instability in smoothed particle hydrodynamics", Comput. Struct., 57(4), 573-580. https://doi.org/10.1016/0045-7949(95)00059-P
- Dyka, C.T., Randles, P.W. and Ingel, R.P. (1997), "Stress points for tension instability in SPH", Int. J. Numer. Meth. Eng., 40(13), 2325-2341. https://doi.org/10.1002/(SICI)1097-0207(19970715)40:13<2325::AID-NME161>3.0.CO;2-8
- Eftekhari, M. and Mohammadi, S. (2015), "Multiscale dynamic fracture behavior of the carbon nanotube reinforced concrete under impact loading", Int. J. Impact Eng. [In Press]
- Fagan, T., Das, R., Lemiale, V. and Estrin, Y. (2012), "Modelling of equal channel angular pressing using a mesh-free method", J. Mater. Sci., 47(11), 4514-4519. https://doi.org/10.1007/s10853-012-6296-3
- Fahrenthold, E.P. and Yew, C.H. (1995), "Hydrocode simulation of hypervelocity impact fragmentation", Int. J. Impact Eng., 17(1-3), 303-310. https://doi.org/10.1016/0734-743X(95)99856-M
- Fang, Z. and Harrison, J.P. (2001), "Numerical analysis of progressive fracture and associated behaviour of mine pillars by use of a local degradation model", Transactions of the Institution of Mining and Metallurgy, Section A: Mining Industry, 111(1), 59-72.
- Fang, J., Owens, R.G., Tacher, L. and Parriaux, A. (2006), "A numerical study of the SPH method for simulating transient viscoelastic free surface flows", J. Non-newton Fluid, 139(1-2), 68-84. https://doi.org/10.1016/j.jnnfm.2006.07.004
- Fernandez-Mendez, S., Bonet, J. and Huerta, A. (2005), "Continuous blending of SPH with finite elements", Comput. Struct., 83(17-18), 1448-1458. https://doi.org/10.1016/j.compstruc.2004.10.019
- Fujiwara, A. (1989), "Experiments and scaling laws for catastrophic collisions", Asteroids Ii, 240-265.
- Fujiwara, G. (1994), "Review of fracture mechanics for aircraft structures", Zairyo/J. Soc. Mater. Sci., Japan 43(493), 1188-1194. https://doi.org/10.2472/jsms.43.1188
- Gingold, R.A. and Monaghan, J.J. (1977), "Smoothed particle hydrodynamics - Theory and application to non-spherical stars", MNRAS 181(3), 375-389. https://doi.org/10.1093/mnras/181.3.375
- Grady, D.E. and Kipp, M.E. (1980), "Continuum modelling of explosive fracture in oil shale", Int. J. Rock Mech. Min., 17(3), 147-157. https://doi.org/10.1016/0148-9062(80)91361-3
- Grady, D.E., Kipp, M.E. and Smith, C.S. (1980), "Explosive fracture studies on oil shale", Soc. Petro. Eng. J., 20(5), 349-356. https://doi.org/10.2118/8215-PA
- Gray, J.P. and Monaghan, J.J. (2004), "Numerical modelling of stress fields and fracture around magma chambers", J. Volcanol. Geoth. Res., 135(3), 259-283. https://doi.org/10.1016/j.jvolgeores.2004.03.005
- Gray, J.P., Monaghan, J.J. and Swift, R.P. (2001), "SPH elastic dynamics", Comput. Method. Appl. M., 190(49-50), 6641-6662. https://doi.org/10.1016/S0045-7825(01)00254-7
- Harrison, S. and Cleary, P. (2014), "Towards modelling of fluid flow and food breakage by the teeth in the oral cavity using smoothed particle hydrodynamics (SPH)", Eur. Food Res. Technol., 238(2), 185-215. https://doi.org/10.1007/s00217-013-2077-8
- Hu, S., Zhang, X. and Xu, S. (2015), "Effects of loading rates on concrete double-K fracture parameters", Eng. Fract. Mech., 149, 58-73. https://doi.org/10.1016/j.engfracmech.2015.09.027
- Huang, Y., Yang, Z., Ren, W., Liu, G. and Zhang, C. (2015), "3D meso-scale fracture modelling and validation of concrete based on in-situ X-ray computed tomography images using damage plasticity model", Int. J. Solids. Struct., 67-68, 340-352. https://doi.org/10.1016/j.ijsolstr.2015.05.002
- Imaeda, Y. and Inutsuka, S.i. (2002), "Shear flows in smoothed particle hydrodynamics", Astrophys. J., 569(1), 501-518. https://doi.org/10.1086/339320
- Ju, J., Jiang, X. and Fu, X. (2007), "Fracture analysis for damaged aircraft fuselage subjected to blast", Key Eng. Mater., 348-349, 705-708. https://doi.org/10.4028/www.scientific.net/KEM.348-349.705
- Karekal, S., Das, R., Mosse, L. and Cleary, P.W. (2011), "Application of a mesh-free continuum method for simulation of rock caving processes", Int. J. Rock Mech. Min., 48(5), 703-711. https://doi.org/10.1016/j.ijrmms.2011.04.011
- Kleine, T., La Pointe, P. and Forsyth, B. (1997), "Realizing the potential of accurate and realistic fracture modeling in mining", Int. J. Rock Mech. Min., 34(3-4), 661. https://doi.org/10.1016/S1365-1609(97)00158-5
- Kulasegaram, S., Bonet, J., Lewis, R.W. and Profit, M. (2003), "High pressure die casting simulation using a Lagrangian particle method", Commun. Numer. Meth. En., 19(9), 679-687. https://doi.org/10.1002/cnm.633
- Kumar, S. and Barai, S.V. (2010), "Determining the double-K fracture parameters for three-point bending notched concrete beams using weight function", Fatigue Fract. Eng. M., 33(10), 645-660. https://doi.org/10.1111/j.1460-2695.2010.01477.x
- Lemiale, V., King, P.C., Rudman, M., Prakash, M., Cleary, P.W., Jahedi, M.Z. and Gulizia, S. (2014), "Temperature and strain rate effects in cold spray investigated by smoothed particle hydrodynamics", Surf. Coat. Tech., 254, 121-130. https://doi.org/10.1016/j.surfcoat.2014.05.071
- Libersky, L.D. and Petschek, A.G. (1990), "Smooth particle hydrodynamics with strength of materials", Advances in the Free-Lagrange Method, Springer, Berlin, Germany.
- Liu, W.K., Jun, S., Li, S., Adee, J. and Belytschko, T. (1995), "Reproducing kernel particle methods for structural dynamics", Int. J. Numer. Meth. Eng., 38(10), 1655-1679. https://doi.org/10.1002/nme.1620381005
- Liu, Z.S., Swaddiwudhipong, S. and Koh, C.G. (2004), "High velocity impact dynamic response of structures using SPH method", Int. J. Comput. Eng. Sci., 5(2), 315-326. https://doi.org/10.1142/S146587630400240X
- Lucy, L.B. (1977), "A numerical approach to the testing of the fission hypothesis", Astron. J., 82, 1013-1024. https://doi.org/10.1086/112164
- Melosh, H.J. (1985), "Ejection of rock fragments from planetary bodies", Geology, 13(2), 144-148. https://doi.org/10.1130/0091-7613(1985)13<144:EORFFP>2.0.CO;2
- Melosh, H.J. and Collins, G.S. (2005), "Meteor crater formed by low-velocity impact", Nature, 434(7030), 157. https://doi.org/10.1038/434157a
- Melosh, H.J., Ryan, E.V. and Asphaug, E. (1992), "Dynamic fragmentation in impacts: hydrocode simulation of laboratory impacts", J. Geophys. Res., 97(E9), 14735-14759. https://doi.org/10.1029/92JE01632
- Mitchell, R.J. (1993), "Physical modelling of fracture and flow in mine backfills", Proceedings of the International Congress on Mine Design, Kingston, ON, Canada, August.
- Mok, H., Chiu, W.K., Peng, D., Sowden, M. and Jones, R. (2007), "Rail wheel removal and its implication on track life: a fracture mechanics approach", Theor. Appl. Fract. Mec., 48(1), 21-31. https://doi.org/10.1016/j.tafmec.2007.04.001
- Monaghan, J.J. (1992), "Smoothed particle hydrodynamics", Ann. Rev. Astron. Astrophys., 30, 543-574. https://doi.org/10.1146/annurev.aa.30.090192.002551
- Monaghan, J.J. (1994), "Simulating free surface flows with SPH", J. Comput. Phys., 110(2), 399-406. https://doi.org/10.1006/jcph.1994.1034
- Monaghan, J.J. (2000), "SPH without a tensile instability", J. Comput. Phys., 159(2), 290-311. https://doi.org/10.1006/jcph.2000.6439
- Monaghan, J.J. (2005), "Smoothed particle hydrodynamics", Rep. Prog. Phys., 68, 1703-1759. https://doi.org/10.1088/0034-4885/68/8/R01
- Morrison, R.D. and Cleary, P.W. (2004), "Using DEM to model ore breakage within a pilot scale sag mill", Miner. Eng., 17(11-12), 1117-1124. https://doi.org/10.1016/S0892-6875(04)00181-5
- Napier, J.A.L. (1990), "Modelling of fracturing near deep level gold mine excavations using a displacement discontinuity approach", International Conference on Mechanics of Jointed and Faulted Rock, Vienna, Austria
- Pierazzo, E. and Melosh, H.J. (2000), "Understanding oblique impacts from experiments, observations, and modeling", Ann. Rev. Inc., 28, 141-167, Palo Alto, CA, USA.
- Potyondy, D.O. and Cundall, P.A. (2004), "A bonded-particle model for rock", Int. J. Rock. Mech. Min., 41(8), 1329-1364. https://doi.org/10.1016/j.ijrmms.2004.09.011
- Prakash, M. and Cleary, P. (2015), "Modelling highly deformable metal extrusion using SPH", Comput. Particle Mech., 2(1), 19-38. https://doi.org/10.1007/s40571-015-0032-0
- Randles, P.W. and Libersky, L.D. (2000), "Normalized SPH with stress points", Int. J. Numer. Method. Eng., 48(10), 1445-1462. https://doi.org/10.1002/1097-0207(20000810)48:10<1445::AID-NME831>3.0.CO;2-9
- Rezaie, F. and Farnam, S.M. (2015), "Fracture mechanics analysis of pre-stressed concrete sleepers via investigating crack initiation length", Eng. Fail. Anal., 58(Part 1), 267-280. https://doi.org/10.1016/j.engfailanal.2015.09.007
- Selman, E., Ghiami, A. and Alver, N. (2015), "Study of fracture evolution in FRP-strengthened reinforced concrete beam under cyclic load by acoustic emission technique: An integrated mechanical-acoustic energy approach", Constr. Build. Mater., 95, 832-841. https://doi.org/10.1016/j.conbuildmat.2015.07.162
- Sharir, Y., Stone, D.H. and Pellini, W.S. (1982), "Fracture analysis of cast steel components in rail vehicles", Gaitherburg, MD, USA, NBS, Washington, DC, USA.
- Shockey, D.A., Curran, D.R., Seaman, L., Rosenberg, J.T. and Petersen, C.F. (1974), "Fragmentation of rock under dynamic loads", Int. J. Rock Mech. Min., 11(8), 303-317. https://doi.org/10.1016/0148-9062(74)91760-4
-
Skarzynski, L., Nitka, M. and Tejchman, J. (2015), "Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray
${\mu}CT$ images of internal structure", Eng. Fract. Mech., 147, 13-35. https://doi.org/10.1016/j.engfracmech.2015.08.010 - Swegle, J.W., Hicks, D.L. and Attaway, S.W. (1995), "Smoothed particle hydrodynamics stability analysis", J. Comput. Phys., 116(1), 123-134. https://doi.org/10.1006/jcph.1995.1010
- Tait, R.B. and Emslie, C. (2005), "The use of fracture mechanics in failure analysis in the offshore diamond mining industry", Eng. Fail. Anal., 12(6 SPEC ISS), 893-905. https://doi.org/10.1016/j.engfailanal.2004.12.014
- Takabatake, H., Nonaka, T. and Tanaki, T. (2005), "Numerical study of fracture propagating through column and brace of ashiyahama residential building in Kobe Earthquake", Struct. Des. Tall Spec., 14(2), 91-105. https://doi.org/10.1002/tal.265
- Thorne, B.J., Hommert, P.J. and Brown, B. (1990), "Experimental and computational investigation of the fundamental mechanisms of cratering", 3rd International Symposium on Rock Fragmentation by Blasting, Brisbane, Australia.
- Uetani, K. and Tagawa, H. (1999), "Earthquake response analysis of steel building frames considering brittle fractures at member-ends", Structures Congress - Proceedings, 406-409.
- Vidal, Y., Bonet, J. and Huerta, A. (2007), "Stabilized updated lagrangian corrected SPH for explicit dynamic problems", Int. J. Numer. Meth. Eng., 69(13), 2687-2710. https://doi.org/10.1002/nme.1859
- Vignjevic, R., Campbell, J. and Libersky, L. (2000), "A treatment of zero-energy modes in the smoothed particle hydrodynamics method", Comput. Method. Appl. M., 184(1), 67-85. https://doi.org/10.1016/S0045-7825(99)00441-7
- Wang, L., Brust, F.W. and Atluri, S.N. (1997), "Elastic-plastic finite element alternating method (EPFEAM) and the prediction of fracture under WFD conditions in aircraft structures. Part II: Fracture and the T*-integral parameter", Comput. Mech., 19(5), 370-379. https://doi.org/10.1007/s004660050185
- Wen, Z., Shiyue, W. and Wancheng, Z. (2005), "The failure and falling of the rock mass in the underground mining", Key Eng. Mater., 297-300, 2586-2591. https://doi.org/10.4028/www.scientific.net/KEM.297-300.2586
- Wilkins, J.L. (1964), "Calculation of elastic-plastic flow", Methods of Computational Physics, New York, Academic Press, 8, 211-263.
- Wingate, C.A. and Fisher, H.N. (1993), "Strength modeling in SPHC", Los Alamos National Laboratory.
- Yu, K., Yu, J., Lu, Z. and Chen, Q. (2015), "Determination of the softening curve and fracture toughness of high-strength concrete exposed to high temperature", Eng. Fract. Mech., 149, 156-169. https://doi.org/10.1016/j.engfracmech.2015.10.023