A novel monolithic Lagrangian approach for modelling crack propagation using anisotropic mesh adaptation

Karim Hitti 1 Stephanie Feghali 2 Faten Rafeh 1 Marc Bernacki 3 Pierre-Olivier Bouchard 3
1 University of Balamand - UOB (LIBAN)
2 Lebanese University [Beirut]
3 CEMEF - Centre de Mise en Forme des Matériaux
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.
Keywords : Crack propagation Mesh adaptation Monolithic approach Lagrangian framework Gθ method
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Karim Hitti, Stephanie Feghali, Faten Rafeh, Marc Bernacki, Pierre-Olivier Bouchard. A novel monolithic Lagrangian approach for modelling crack propagation using anisotropic mesh adaptation. International Journal of Advances in Applied Mathematics and Mechanics, Earliest publisher: Surat: Dept. of Mathematics Sarvajanik College of Engineering & Technology 2018, 5 (3), pp.53-65. ⟨hal-01731909⟩

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