| Autor: |
Simon Essongue, Guillaume Couégnat, Eric Martin |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Applied Mechanics, Vol 4, Iss 4, Pp 1140-1171 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2673-3161 |
| DOI: |
10.3390/applmech4040059 |
| Popis: |
The augmented finite element method (AFEM) embeds cracks within solid elements. These cracks are modelled without additional degrees of freedom thanks to a dedicated static condensation process. However, static condensation can induce a lack of constraint problem, resulting in singular stiffness matrices. To address this issue, we propose a new method called the stabilised augmented finite element method (SAFEM), which produces non-singular stiffness matrices. We conducted 2D experiments involving stationary traction-free cracks and propagating cohesive discontinuities to compare the performance of the SAFEM with the AFEM. The SAFEM outperforms the AFEM in modelling traction-free cracks. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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