Reference : Validation tests of the full-discontinuous Galerkin / extrinsic cohesive law framewor...
Scientific journals : Article
Engineering, computing & technology : Materials science & engineering
Engineering, computing & technology : Mechanical engineering
Validation tests of the full-discontinuous Galerkin / extrinsic cohesive law framework of Kirchhoff-Love shells
Becker, Gauthier mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Noels, Ludovic mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
International Journal of Fracture
Springer Science & Business Media B.V.
Yes (verified by ORBi)
[en] Discontinuous Galerkin ; Cohesive law ; parallel implementation ; fragmentation ; shells
[en] Due to its ability to account for discontinuities,
the discontinuous Galerkin (DG) method presents two main
advantages for modeling crack initiations and propagation.
On the one hand, it provides an easy way to insert the cohesive
elements during the simulation and therefore avoids
the drawbacks inherent to the use of an extrinsic cohesive
law. On the other hand, the capture of complex crack path
requires very thin meshes and the recourse to a parallel implementation
of DG formulations exhibits a high scalability
of the resolution scheme.
Recently, the authors developed such a DG-fracture framework
for Kirchhoff-Love shells in the linear and non-linear
ranges. They proved that this framework dissipates, during
the fracture process, an amount of energy equal to the fracture
energy of the material and that the model is able to propagate
the crack with the right speed.
In this paper, novel numerical benchmarks are presented
to validate the method in various fracture conditions. The
two first ones include an initial notch and study the fracture
propagation under two different dynamic loadings (impact
and blast). The two other ones focus on the fragmentation
of initially unbroken specimens due to uniform expansion
in order to demonstrate the ability of the new framework to
model crack initiations. Results are in all cases in agreement
with the ones reported in the literature.
Fonds pour la formation à la Recherche dans l'Industrie et dans l'Agriculture (Communauté française de Belgique) - FRIA
Researchers ; Professionals
The final publication is available at on

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2012_ESMC_Shells.pdfESCM 201225.52 MBView/Open
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blast.aviblasted cylinder2.35 MBView/Open
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pipeBlastStress.aviblasted pipe5.06 MBView/Open
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pipeCrack.aviblasted pipe 21.92 MBView/Open
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ring.avifragmented ring1.29 MBView/Open

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