Abstract
A finite element method for the flow of dry granular solids through a domain involving a frictional contact boundary is formulated. The granular material is assumed as a compressible viscous-elastic-plastic continuum. Based on the principles of continuum mechanics, a complete set of equations is developed. The resulting boundary value problem is solved by the finite element method in space and by the finite difference method in time. The derivation of the finite element equations and the mathematical framework of the numerical technique are presented, together with two illustrative examples to demonstrate the validity of the technique.
| Original language | English |
|---|---|
| Pages (from-to) | 486-495 |
| Number of pages | 10 |
| Journal | Communications in Nonlinear Science and Numerical Simulation |
| Volume | 12 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jul 2007 |
| Externally published | Yes |
Keywords
- Boundary value problems
- Finite element method
- Granular material
- Viscoplasticity