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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
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.
Open URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Mathematics

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