Abstract
This paper describes the development of a numerical procedure for predicting deformations and stresses in a loaded two-dimensional 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.
| Original language | English |
|---|---|
| Pages (from-to) | 992-1006 |
| Number of pages | 15 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 75 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 20 Aug 2008 |
Keywords
- micropolar
- Cosserat
- finite element
- control volume
- finite element method
- concentration process
- forecasting
- hole concentration
- stress concentration