] 1IntroductionANFO is an explosivem ixture of ammonium nitrate (AN, 94 wt-%) and fuel oil (FO, 6wt-%) withadensity of 800 to 1000 kg m
À3.I ti sk nowna sh ighly non-ideal, high-porosity and low-densitye xplosive, where the fuel and oxidizer are not mixed at the molecularl evel [1,2].D ifferingf rom other explosives such as TNT,i te xhibits special characteristics such as low detonationv elocity,l ong reaction zones, low detonation energies, and large failure diameters.The characteristics of ANFO have been studied al ot by many researchers throughe xperiments [3,4] and theoretical studies [5].C atanach,H ill, and Davis conducted series of experiments on diameter effect of ANFO, and measured the curvature of detonationf ront using ANFO cylinders [3,4].B dzil and Aslam proposed DetonationS hock Dynamics (DSD) theory that the velocity of detonationn ormal to the shock is solely af unction of the shock curvature, and incorporated the modeli nt heir code [5].F or the numerical modellingo fn on-ideal explosives, Borg and Jones investigated projectile impact experiments using af ire reaction rate model [6].K apila,S chwendeman, and Bdzil described the Ignition-and-Growth model in af inite-volumem ethod and applied the modeli ns imulation of LX-17 [7,8].S ouers described as implifiedr eactive flow model (JWL ++model) and applied the model in the study of size effect of ANFO K1 [9].T arver and McGuire applied Ignition-and-Growth model in the investigation of detonation waveso fc onfined high explosiveL X-17,P BX 9502, and EDC-35 [10].G arcia and Ta rver further describeda3D Ignition-and-Growth reactive flow model of PBX 9502 and compared simulation with experiment [11].G uilkey,H arman et al. described a3 DE ulerian-Lagrangian approach and applied it in the simulation of size effect and copper-confined explosiono fA NFO [12]. Kim and Yoh[ 13] investigated size effect and copper-confined ANFO using an Eulerian method. Besides these continuum models for the mixtures, the purea mmonium nitrate is also an interest in atomistic-level studies,i ncluding mechanicalp roperties [14] and equations of state [15,16].The SPH method was first proposed by Gingold, Monaghan, and Lucy [17, 18] to study astrophysics. Afterwards, due to the advantages of SPH method in tracking moving interfaces and dealingw ith large deformation,i th as been applied to solve fluid dynamic problems and beyond, explosion, andh ypervelocity impact problems. Liu,L iu et al. [19][20][21][22][23]i nvestigated the feasibility of using SPH to simulate explosion of high explosive, underwater explosion, shaped charge detonation, and so on. In this paper,t he SPH method has been applied in the simulation of detonation of 3D ANFO cylinders, where heterogeneous materials and their interaction, phase transformation, large deformation Abstract:A NFO (ammonium nitrate/fuel oil) is aw idely used bulk industrial explosive mixture that is considered to be highly "non-ideal" with long reaction zones, low detonation energies, and large failure diameters. Thus,i ts detonation ...