Explicit dynamics “SPH – Finite Element” coupling using the Arlequin method
Simulation of projectile’s impacts on concrete slabs
DOI:
https://doi.org/10.13052/REMN.17.737-748Keywords:
Arlequin method, coupling, meshless, Sph, explicit dynamics, projectile impact, concrete, MazarsAbstract
The Arlequin method gives a simple and effective framework to glue models using various formulations. It is extended here in explicit dynamics and used in order to link a zone showing ruptures by fragmentation meshed with Smoothed Particles Hydrodynamics (SPH) and a larger second undamaged one meshed with finite elements (FEM). This paper gives some details on the method implemented in the EUROPLEXUS code, its validation on simple benchmarks and a confrontation between numerical simulations and results of an experimental study of concrete slab resistance to projectile impacts.
Downloads
References
Belytschko T., “Contact-Impact by the Pinball Algorithm with Penalty and Lagrangian
Methods”, Int. J. Num. Meth. Engrg., 1991, vol. 31, p. 547-572.
BenDhia H., « Problèmes mécaniques multi-échelles : la méthode arlequin », C. R. de
l’Académie des Sciences, Série IIb, 1998, vol. 36, p. 899-904.
Blanton T.L., “Effect of strain rates from 10-2 to 10 s-1 in triaxial compression tests on three
rocks”, Int. J. Rock Mech. Min. Sci., 1981, vol. 18, p. 47-62.
Farhat C., Chen P., Mandel J., “A stable Lagrange multiplier based domain-decomposition method
for time-dependent problems”, Int. J. Num. Meth. Engrg., 1995, vol. 50, p. 199-225.
Gravouil A., Combescure A., “Multi-time-step explicit-implicit method for non-linear
structural dynamics”, Int. J. Num. Meth. Engrg., 2001, vol. 50, p. 199-225.
Mazars J., Application de la mécanique de l’endommagement au comportement non linéaire
et à la rupture du béton de structure, Thèse de doctorat d’état, Université Paris VI, 1984.
Rabczuk T., Belytschko T., Xiao S.P., “Stable particle methods on Lagrangian kernels”,
Comp. Meth. Appl. Engrg., 2004, vol. 193, p. 1035-1063.
Rabczuk T., Xiao S.P., Sauer M., “Coupling of mesh-free methods with finite elements: basic
concepts and test results”, Commun. Num. Meth. Engrg., 2006, vol. 22, p. 1031-1065.
Rateau G., Méthode Arlequin pour les problèmes mécaniques multi-échelles. Application à
des problèmes de jonction et de fissuration de structures élancées, Thèse Ecole Centrale
Paris, 2003.
Suffis A., Combescure A., « Modèle d’endommagement à effet retard, analyse numérique et
analytique de l’évolution de la longueur caractéristique », Revue Européenne des
Eléments Finis, vol. 11, 2002, p. 593-620.
Zhang M.H., Shim V.P.W., Lu G., Chew C.W., “Resistance of high-strength concrete to
projectile impact”, Int. Journal of Impact Engineering, vol. 31, n° 7, 2005, p. 825-841.
