Abstract
A numerical method for simulating the stability of particle-packing structures is presented. The packing structures were modeled on the basis of face-centered cubic (fcc) and body-centered cubic (bcc) structures, and the stability of these structures was investigated using the distinct element method. The interaction between the particles was simplified by considering repulsive, adhesive, and damping forces, and the stability against the gravitational force was simulated. The results under a certain set of parameters showed characteristic deformation when the particles were arranged in an fcc array. Focusing on the local structure, the resulting model was divided into several domains: The bottom base, four top corners, and intermediate domains. The bottom base notably became a body-centered tetragonal (bct) structure, which corresponds to a uniaxially compressed bcc structure. Conversely, the models based on the bcc arrangement were structurally stable, as no specific deformation was observed, and a monotonously compressed bct structure was obtained. Consequently, the bcc arrangement is concluded to be more stable against uniaxial compression, such as the gravitational force, in a particle-packing system.
Highlights
Particle packing is an interesting problem both in engineering and in science [1] [2] [3]
The fcc and bcc structures were applied as the initial arrangements
The fcc arrangement resulted in apparent deformation under a certain set of parameters
Summary
Particle packing is an interesting problem both in engineering and in science [1] [2] [3]. Various types of porous materials can be fabricated by setting many particles in a certain structure, filling the vacant spaces by liquid or slurry, and removing the particles afterward [6] [7] [8] [9]. In these processes, the particle-packing structure, as well as the shape and size of particles, dominantly affects the quality of the materials, and the control of the structure is critical [10] [11]. The particles are arranged at lattice points of fcc and bcc structures, and their stability under the force of gravity is investigated
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