Abstract
Flow and fracture of granular materials under external loads is a complex mechanical process, and the research on its law is still in the exploratory stage. In this paper, the flow and fracture law of granular materials is taken as the research object, and numerical algorithm compilation and program development are combined to study. Taking full advantage of the existing algorithms and developing new ones based on the existing DEM theory, a numerical simulation program for the flow and fracture of granular materials is developed. The flow and fracture process of concrete spherical granular system with diameter of 4 cm under loading rate of 70 mm/min and end of loading of 50 kN is taken as an example to verify the simulation program. At the same time, the loading experiment of the concrete spherical particle system under the same simulation conditions was also carried out. The simulation results are compared with the experimental results in three aspects: the generation location of the particle system, the relationship between the whole load and displacement, and the degree of particle breakage. The results show that the numerical simulation is in good agreement with the experimental results, which verifies the reliability of the numerical algorithm and the simulation program, and can provide support for the study of the flow and fracture process of granular materials.
Highlights
Granular materials are aggregates composed of a large number of discrete particles, which exist widely in nature.ere is no connection between granular particles, and flow occurs under gravity or engineering loads
By means of comparative analysis, the simulation results are in good agreement with the experimental results, which shows that the program can simulate the flow and fracture process of granular materials well, and it can provide an effective support means for numerical simulation research in this field
In order to realize the development of simulation program for flow and fracture of granular materials, the numerical algorithms used are very important. e numerical algorithms needed for the simulation program are shown as follows: (1) initial configuration generation algorithm for granular system, (2) mesh generation algorithm for particle failure simulation, (3) contact detection algorithm for block elements, (4) calculation algorithm of contact force between block elements, (5) calculation method of contact force between block element and boundary, (6) calculation algorithm of motion for block elements, (7) generation and action algorithm of beam elements, (8) calculation method of global load and local load of granular particle system under external load, (9) fragmentation scale statistics algorithm, and (10) visualization algorithm
Summary
Granular materials are aggregates composed of a large number of discrete particles, which exist widely in nature. Some scholars use the method of discretizing a single particle into a polyhedral element and adding beams between the elements to simulate the mechanical behavior of a particle system composed of multiple particles. In order to simulate the fragmentation process of granular system composed of many particles, a large amount of computing time is needed, and the performance of computer is required enormously [24] Because of this limitation, there are few studies on discrete element simulation of multiple particle breakage, especially three-dimensional simulation, and the number of particles involved in the related studies is relatively small. By means of comparative analysis, the simulation results are in good agreement with the experimental results, which shows that the program can simulate the flow and fracture process of granular materials well, and it can provide an effective support means for numerical simulation research in this field
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