Using the finite element method a numerical procedure is developed for the solution of the two-dimensional frictional contact problems with Coulomb's law of friction. The formulation for this procedure is reduced to a complementarity problem. The contact region is separated into stick and slip regio
A finite element method for granular flow through a frictional boundary
โ Scribed by Yong-Hong Wu; James M. Hill; Aibing Yu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 191 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
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.
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