Approche couplée éléments discrets/finis pour la simulation d’un impact sur ouvrage

Authors

  • Emmanuel Frangin Laboratoire 3S-R (sols, solides, structures, risques) Université Joseph Fourier – CNRS – Institut National Polytechnique de Grenoble Domaine Universitaire – BP 53, F-38041 Grenoble cedex 9
  • Philippe Marin Laboratoire 3S-R (sols, solides, structures, risques) Université Joseph Fourier – CNRS – Institut National Polytechnique de Grenoble Domaine Universitaire – BP 53, F-38041 Grenoble cedex 9
  • Laurent Daudeville Laboratoire 3S-R (sols, solides, structures, risques) Université Joseph Fourier – CNRS – Institut National Polytechnique de Grenoble Domaine Universitaire – BP 53, F-38041 Grenoble cedex 9

DOI:

https://doi.org/10.13052/REMN.16.989-1009

Keywords:

discrete element, dynamics, wave propagation, impact, spurious waves

Abstract

The paper deals with combined finite/discrete element method to study structures under severe dynamic loading, like impact. The discrete element method take naturally into account the non linear phenomena, it is used in the vicinity of the impacted zone. The finite element method is used to reduce the time of computation in order to carry out large structure analyses. The aim of the paper is to discuss the way to reduce non physical wave reflections; it presents an application on a rock impact on a concrete slab.

Downloads

Download data is not yet available.

References

Azevedo N., Lemos J., « Hybrid discrete element/finite element method for fracture analysis »,

Comput. Methods Appl. Mech. Engrg., 2006.

BenDhia H., « Problèmes mécaniques multi-échelle : la méthode Arlequin », C. R. Acad. Sci.

Paris, vol. 326, p. 899-904, 1998.

Berriaud C., Sokolovsky A., Gueraud R., Dulac J., Labrot R., « Comportement local des enceintes

en béton sous l’impact d’un projectile rigide », Nuclear Engineering and Design,

vol. 45, p. 457-469, 1978.

Bicanic N.,Munjiza A., Owen D. R. J., Petrinic N., « From Continua to Discontinua - a Combined

Finite Element/Discrete ElementModelling in Civil Engineering », DynamicModelling

of Geomaterials, ALERT geomaterials, 1997.

Broughton J. Q., Abraham F. F., Bernstein N., Kaxiras E., « Concurrent coupling of length

scales : Methodology and application », Physical review B, July, 1999.

Calvetti F., Combe G., Lanier J., « Experimental Micromechanical Analysis of a 2D Granular

Material : Relation Between Structure Evolution and Loading Path », Mechanics of

cohesive-frictional Materials, vol. 2, n° 2, p. 121-163, 1997.

Camborde F., Grillon Y., Chaigneau F., « Discrete ElementMethod for Predicting the Behaviour

of Concrete under Dynamic Loading », Journal de physique IV (Proceedings), vol. 10, n° 9,

p. 467-74, 2000a.

Camborde F., Mariotti F. C., Donzé F., « Numerical Study of Rock and Concrete Behaviour

by Discrete Element Modelling », Computers and geotechnics, vol. 27, n° 4, p. 225-247,

b.

CEB, Concrete structure under impact and impulsive loading, Comité Euro-international du

béton, 1988.

Cundall P. A., Strack O. D. L., « A Discrete Numerical Model for Granular Assemblies »,

Geotechnique, vol. 29, n° 1, p. 47-65, 1979.

Cusatis G., Bazant Z. P., Cedolin L., « Confinement-shear lattice CSL model for fracture propagation

in concrete », Comput.Methods Appl. Mech. Engrg., 2006.

D’addetta G. A., Kun F., Ramm E., « On the application of a discrete model to the fracture

process of cohesive granular materials », Granular Matter, vol. 4, p. 77-90, 2002.

Donzé F. V.,Magnier S. A., Daudeville L.,Mariotti C., Davenne L., « Numerical Study of Compressive

Behaviour of Concrete at High Strain Rates », Journal of engineering mechanics,

vol. 125, n° 10, p. 1154-1163, 1999.

Eurocode, Eurocode 2 - Calcul des structures en béton - Part 1-1 : Règles générales et règles

pour les batiments, Normes Européennes, 1998.

Frangin E., Marin P., Daudeville L., « Coupled finite/discrete element method to analyze localized

impact on reinforced concrete structure », in G. Meschke, R. de Borst, H. Mang,

N. Bicanic (eds), Computational Modelling of Concrete Structures, EURO-C, 2006.

Hentz S., Modélisation d’une structure en béton armé soumise à un choc par la méthode des

éléménts discrets, PhD thesis, Université Joseph Fourier, October, 2003.

Hentz S., Daudeville L., Donzé F., « Discrete Element Modelling of Concrete Submitted To

Dynamic Loading at High Strain Rates », Computers and Structures, vol. 82, p. 2509-2524,

a.

Hentz S., Daudeville L., Donze F. V., « Identification and Validation of a Discrete Element

Model for Concrete », Journal of engineering mechanics, vol. 130, p. 709-719, June, 2004b.

Hentz S., Donze F. V., Daudeville L., « Discrete element modelling of a reinforced concrete

structure submitted to a rock impact », Italian Geotechnical Journal, vol. 4, p. 83-94, 2005.

Li S., Liu W. K., Meshfree Particle Methods, Springer, 2004.

Oñate E., Rojek J., « Combination of discrete element and finite element methods for dynamics

analysis of geomechanics problems », Comp. Meth. Appl. Mech. Eng., vol. 193, p. 3087-

, 2004.

Rudd R., Broughton J., « Coarse-grained molecular dynamics and the atomistic limit of finite

elements », Physical review B, vol. 58, n° 10, p. 5893-5896, September, 1998.

Xiao S., Belytschko T., « A bridging domain method for coupling continua with molecular

dynamics », Computer methods in apllied mechanics and engineering, vol. 193, p. 1645-

, 2004.

Zineddin M., Krauthammer T., « Dynamic response and behavior of reinforced concrete slabs

under impact loading », Int. J. of impact engineering, 2007.

Downloads

Published

2007-10-10

How to Cite

Frangin, E. ., Marin, P., & Daudeville, L. . (2007). Approche couplée éléments discrets/finis pour la simulation d’un impact sur ouvrage. European Journal of Computational Mechanics, 16(8), 989–1009. https://doi.org/10.13052/REMN.16.989-1009

Issue

Section

Original Article