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https://scholarhub.balamand.edu.lb/handle/uob/2308| Title: | A novel monolithic Lagrangian approach for modelling crack propagation using anisotropic mesh adaptation | Authors: | Hitti, Karim Feghali, Stephanie Rafeh, Faten Bernacki, Marc Bouchard, Pierre-Olivier |
Affiliations: | Department of Mathematics Department of Civil Engineering and Construction |
Keywords: | Crack propagation Mesh adaptation Gθ method Monolithic approach Lagrangian framework |
Issue Date: | 2018 | Part of: | International journal of advances in applied mathematics and mechanics | Volume: | 5 | Issue: | 3 | Start page: | 53 | End page: | 65 | Abstract: | A monolithic Lagrangian finite element method is explored to model crack propagation. This approach is based on the level-set method coupled with anisotropic remeshing to define the crack faces and tip. Moreover, the Gθ method is used for computing the strain energy release rate and the propagation direction. Furthermore, a new technique for computing the convection velocity, which is a mixture between the propagation speed and the mechanical velocity, is introduced. |
URI: | https://scholarhub.balamand.edu.lb/handle/uob/2308 | Open URL: | Link to full text | Type: | Journal Article |
| Appears in Collections: | Department of Mathematics Department of Civil and Environmental Engineering |
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