A discrete element/shell finite element coupling for simulating impacts on reinforced concrete structures
DOI:
https://doi.org/10.13052/EJCM.19.153-164Keywords:
discrete elements, finite elements, coupling, fast dynamicsAbstract
The efficiency of the discrete element method for studying the fracture of heterogeneous media has been demonstrated, but it is limited by the size of the computational model. A coupling between the discrete element and the finite element methods is proposed to handle the simulation of impacts on large structures. The structure is split into two subdomains in each of which the method is adapted to the behaviour of the structure under impact. The DEM takes naturally into account the discontinuities and is used to model the media in the impact zone. The remaining structure is modelled by the FEM. We propose an extension of the coupling procedure to connect the Discrete Element model to shell-type Finite Elements. The efficiency of the coupling method is tested and validated.
Downloads
References
Ben Dhia H. and Rateau G., “The Arlequin method as a flexible engineering design tool”, Int.
J. Numer. Meth. Engng, 62, 2005, 1442-1462.
Casadei F. and Halleux J.P., “An algorithm for permanent fluid-structure interaction in explicit
transient dynamics”, Comput. Methods Appl. Mech. Engrg., 128, 1995, 231-289.
Europlexus User’s manual. http://europlexus.jrc.eu.europa.eu.
Frangin E., Marin P. and Daudeville L., “On the use of combined finite/discrete element
method for impacted concrete structures.” J. Phys. IV, 134, 2006, 461-466.
Gabet T., Malecot Y. and Daudeville L., “Triaxial behaviour of concrete under high stresses:
Influence of the loading path on compaction and limit states”, Cement Concr. Res.,
vol. 38, n° 3, 2008, 403-412.
Hentz S., Daudeville L. and Donze F. V., “Identification and Validation of a Discrete Element
Model for Concrete”, J. Eng. Mech., 130, 2004a, 709-719.
Hentz S., Daudeville L. and Donzé F-V., “Discrete Element Modelling of Concrete Submitted
To Dynamic Loading at High Strain Rate”, Comput. Struct., 82, 2004b, 2509-2524.
Jerier J.-F., Imbault D., Donze F.-V. and Doremus P., “A geometric algorithm based on
tetrahedral meshes to generate a dense polydisperse sphere packing”, Granular Matter,
vol. 11, n° 1, 2009, 43-52.
Key S.W., Transient response by time integration: review of implicit and explicit operators,
J. Donea, ed., Advanced Structural Dynamics (Applied Science, London) 1980, p. 71-95.
Liao, C.-L., Chang, T.-P. and Young, D.-H, “Stress-strain relationship for granular materials
based on the hypothesis of best fit’’, Int. J. Solids Struct., vol. 34, n° 31-32, 1997, 4087-
Reissner E., Linear and nonlinear theory of shells. Thin Shell Structures, Fung and Sechler
Eds., Prentice Hall, 1974, 29-44.
Rousseau J., Frangin E., Marin E. and Daudeville L., “Damage prediction in the vicinity of an
impact on a concrete structure: a combined FEM/DEM approach”, Computers and
Concrete, vol. 5, n° 4, 2008, 343-358.
Rousseau J., Frangin E., Marin P. and Daudeville L., “Multidomain finite and discrete
elements method for impact analysis of a concrete structure”, Engineering Structures,
vol. 31, n° 11, 2009, 2735-2743.
Xiao S. and Belytschko T., “A bridging domain method for coupling continua with molecular
dynamics”, Comput. Meth. Appl. Mech. Eng., 193, 2004, 1645-1669.