Together with the finite element method ( E M ) , the control volume method (CVM) is of particular interest for the numerical solution of partial differential equations. The accuracy of computation of the CVM almost matches that of FEM in contour-adapted co-ordinates or block-structured meshes of a
A control volume-based finite element method for plane micropolar elasticity
โ Scribed by M. A. Wheel
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 209 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2293
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โฆ Synopsis
Abstract
This paper describes the development of a numerical procedure for predicting deformations and stresses in a loaded twoโdimensional membrane exhibiting micropolar or Cosserat constitutive behaviour. The procedure employs a conventional finite element (FE) mesh together with a dual mesh of interconnected control volumes, each of which must satisfy equilibrium. A series of patch tests covering a variety of simple strain states are used to validate the procedure that is then employed to predict the stress concentration in a membrane containing a small hole. The predictions provided by the procedure are compared with those given previously by FEs. Copyright ยฉ 2008 John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
A two-dimensional ยฎnite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for ยฎnite deformation problems with large elastic and plastic strains. A