Elastic and Visco-elastic Response of Finite Particle Junctions in Granular Materials
The elastic deformation of granular materials has been studied extensively using two-particle Hertzian contact-based local deformation regulations. Here we use a finite element simulation, which shows excellent agreement with the infinitesimal contact limit relations, to derive force-displacement relations for finite size particle junctions. The response is determined for both normal and tangential inter-particle deformation. Additionally, the strong influence of particle packing, or coordination, on the apparent junction stiffness is demonstrated using a finite element analysis of several periodic particle arrangements, with both normal and tangenital deformation at the inter-particle junctions. The importance of accounting for both the junction size effect and coordination is demonstrated by comparing computed effective moduli with published experimental values.
Recent Developments in Computer Modeling of Powder Metallurgy Processes
McMeeking, Robert M.; Jefferson, George; and Haritos, George K., "Elastic and Visco-elastic Response of Finite Particle Junctions in Granular Materials" (2001). Mechanical Engineering Faculty Research. 826.