A finite element method for granular flow through a frictional boundary

被引：14
|
作者：
Wu, Yong-Hong [1 ]
Hill, James M. [2 ]
Yu, Aibing [3 ]
机构：
[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
[2] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2500, Australia
[3] Univ New S Wales, Sch Mat Sci & Engn, Sydney, NSW 2052, Australia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 04期
基金：
澳大利亚研究理事会;
关键词：
Boundary value problems; Finite element method; Granular material; Viscoplasticity;
D O I：
10.1016/j.cnsns.2005.04.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2005 Elsevier B. V. All rights reserved.
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页码：486 / 495
页数：10
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