The Third International Conference on Computational Modeling of Fracture and Failure of Materials and Structures

CFRAC 2013 Prague, Czech Republic, 5–7 June 2013

Modelling Dynamic Fracture of Shells Filled with Fluid

A. Combescure1*

, V. Faucher2, F. Caleyron

1,2, S. Potapov

3

1 LaMCoS, Universite de Lyon, INSA Lyon, UMR CNRS 5259, 18-20 Allée des sciences 69621

Villeurbanne cedex (France), alain.combescure@insa-lyon.fr 2

CEA DEN, DM2S, Laboratoire d'Etude de Dynamique, F-91191 Gif-sur-Yvette, France 3

LaMSID UMR EDF-CNRS-CEA 2832 EDF DER Clamart 92440 France

The paper is devoted to the presentation of

simulation of dynamic fracture of shells filled with

fluid. The proposed simulations are also carefully

compared with experimental results.

The first part of the presentation shall be devoted to

the presentation of the damage fracture transition in

case of transient loadings. The implementation of

these concepts in an SPH context shall then be

introduced. The definition of a crack in an SPH

structural modeling shall be presented. The

extension of SPH method to shell formulation shall

then be presented as well as the fracturing SPH

shell strategy.

The finite element SPH coupled model for fluid

structure interaction shall then be presented and

explained. For instance one shall explain how the

unilateral contacts are treated.

The method shall then be compared to a series of

experiments. These comparison shall show the

interest the potentials and the limits of such an

approach. For instance one will show that the

method is able to explain why the flow shows

regularly spaced knots. The method also predicts

the case of failure of the shell as well as the

directions and length of cracks propagated by the

fluid flow. The flow through the cracks is also

predicted. On the other hand the long, rm pressure

field in the fluid does not compare well with the

experiments. This is due to the poor representation

of the pressure field in the fluid model chosen into

these simulations in case of low speed flows

References

[1] F. Caleyron, A. Combescure, V Faucher,

S. Potapov, SPH modeling of fluid–solid

interaction for dynamic failure analysis of fluid-

filled thin shells, J Fluid Struct 39 (2013) 126–

153.

[2] F. Caleyron, A. Combescure, V Faucher,

S. Potapov, Dynamic simulation of damage

fracture transition in smoothed particles

hydrodynamics shells, Int J Numer Meth Eng

90 (2012) 707–738.

[3] O. Allix, J. F. Deu, Delayed-damage modelling

for fracture prediction of laminated composites

under dynamic loading, Engineering Transac-

tions / Rozprawy Inzynierskie 45 (1997) 29–46.

[4] T. Rabczuk, T. Belytschko, A three-dimen-

sional large deformation meshfree method for

arbitrary evolving cracks, Comput Method

Appl M 196 (2007) 2777–2799.