Mixed stabilized finite element methods in nonlinear solid mechanics Part I: Formulation

被引：118
|
作者：
Cervera, M. [1 ]
Chiumenti, M. [1 ]
Codina, R. [1 ]
机构：
[1] Tech Univ Catalonia UPC, Int Ctr Numer Methods Engn CIMNE, Barcelona 08034, Spain
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2010年 / 199卷 / 37-40期
关键词：
Mixed finite element interpolations; Stabilization methods; Algebraic sub-grid scales; Orthogonal sub-grid scales; Nonlinear solid mechanics; EXPLICIT DYNAMIC APPLICATIONS; INCOMPRESSIBLE ELASTICITY; ORTHOGONAL SUBSCALES; TETRAHEDRAL ELEMENT; STRAIN METHODS; J2; PLASTICITY; LOCALIZATION; APPROXIMATION; INTERPOLATIONS; TRIANGLES;
D O I：
10.1016/j.cma.2010.04.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems The different assumptions and approximations used to derive the methods are exposed The proposed procedure is very general, applicable to 2D and 3D problems Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feasible Numerical examples show that the results obtained compare favorably with those obtained with the corresponding irreducible formulation (C) 2010 Elsevier B V. All rights reserved
引用
收藏
页码：2559 / 2570
页数：12
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