| In this paper, we first theoretically revise the traditional particle modeling (PM) by means of mathematical derivation in that, adopting of Lennard Jones (LJ) format equations, four conservative rules are satisfied in order to determine the four unknown in a LJ equation, such as the mass, the elastic energy, the Young's modulus and the tensile strength conservations in the PM and molecular dynamic (MD) models. This enables the new developed PM to uniquely define a material's properties to be studied and promisingly become a predictive tool in mining industries. A safe time increment scheme is also defined and a new modification to the model to avoid giving a pseudo-dynamic solution.;Then, we use this developed PM to many applications, such as (i) simulating dynamic fragmentation of minerals encountered in comminution and blasting processes in the mining industry. In particular, we simulate single as well as multi-phase materials in two dimensions (2-D) and 3-D. We redefine the interactive particle relationship by which material impact-collision problems are realistically simulated and computational time is saved as well; (ii) investigating cracking propagation of a plate with crack-tip under mode-I loading.;Consequently, we test this new PM by simulating fracture response of an elastic-brittle material---epoxy, with randomly distributed holes, in tension and then comparing the model results with the experiments. |
