energy conserving; momentum conserving; dynamics; contact; finite-elements method
Abstract :
[en] When studying crashworthiness problems, contact simulation can be the source of a number of problems. A first one is the discontinuities in the normal evolution for a boundary discretized by finite elements. Another problem is the treatment of the contact forces that can introduce numerical energy in the system. In this paper, we propose to combine a method of discontinuity smoothing with the energy-momentum consistent scheme that recently appeared in the literature. (c) 2005 Elsevier Ltd. All rights reserved.
Disciplines :
Mechanical engineering
Author, co-author :
Noels, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique
Stainier, Laurent ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique
Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Language :
English
Title :
Simulation of crashworthiness problems with improved contact algorithms for implicit time integration
Publication date :
2006
Journal title :
International Journal of Impact Engineering
ISSN :
0734-743X
Publisher :
Pergamon-Elsevier Science Ltd, Oxford, United Kingdom
Special issue title :
International Symposium on the Crashworthiness of Light-weight Automotive Structures
T. Laursen Computational contact and impact mechanics 2002 Springer Berlin
P. Wriggers Computational contact mechanics 2002 Wiley New York
T. Belytschko, W. Daniel, and G. Ventura A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function Int J Numer Methods Eng 55 2002 101 125
M. Puso, and T. Laursen A mortar segment-to-segment contact method for large deformation solid mechanics Comput Methods Appl Mech Eng 193 2004 601 627
D. Graillet, and J.-P. Ponthot Efficient implicit schemes for the treatment of the contact between deformable bodies: applications to shock-absorber devices Int J Crashworthiness 4 3 1999 173 286
J. Simo, and N. Tarnow The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics ZAMP 43 1992 757 792
F. Armero, and E. Petöcz Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems Comput Methods Appl Mech Eng 158 1998 269 300
F. Armero, and E. Petöcz A new dissipative time-stepping algorithm for frictional contact problems: formulation and analysis Comput Methods Appl Mech Eng 179 1999 151 178
T. Laursen, and V. Chawla Design of energy conserving algorithms for frictionless dynamic contact problems Int J Numer Methods Eng 40 1997 863 886
V. Chawla, and T. Laursen Energy consistent algorithms for frictional contact problems Int J Numer Methods Eng 42 1998 799 827
T. Laursen, and G. Love Improved implicit integrators for transient impact problems - geometric admissibility within the conserving framework Int J Numer Methods Eng 53 2002 245 274
G. Love, and T. Laursen Improved implicit integrators for transient impact problems - dynamic frictional dissipation within the admissible conserving framework Comput Methods Appl Mech Eng 192 2003 2223 2248
Noels L. Contributions aux algorithmes d'intégration temporelle conservant l' énergie en dynamique non-linéaire des structures. PhD thesis, University of Liège, 2004 [in French].
L. Noels, L. Stainier, and J.-P. Ponthot Combined implicit/explicit algorithms for crashworthiness analysis Int J Impact Eng 30 2004 1161 1177
Noels L, Stainier L, Ponthot J-P. Energy conserving balance of explicit steps to combine implicit and explicit algorithms in structural dynamics. Comput Methods Appl Mech Eng 2005, accepted for publication.
T. Hughes The finite element method 1987 Prentice-Hall Englewood Cliffs, NJ
T. Belytschko, W. Liu, and B. Moran Nonlinear finite elements for continua and structures 2000 Wiley New York
S. Antman Non linear problems of elasticity 1995 Springer Berlin
O. Gonzalez Exact energy and momentum conserving algorithms for general models in nonlinear elasticity Comput Methods Appl Mech Eng 190 2000 1763 1783
X. Meng, and T. Laursen Energy consistent algorithms for dynamic finite deformation plasticity Comput Methods Appl Mech Eng 191 2001 1639 1675
L. Noels, L. Stainier, and J-P. Ponthot Energy-momentum conserving algorithm for non-linear hypoelastic constitutive models Int J Numer Methods Eng 59 2004 83 114
L. Noels, L. Stainier, and J-P. Ponthot On the use of large time steps with an energy-momentum conserving algorithm for non-linear hypoelastic constitutive models Int J Solids Struct 41 2004 663 693
F. Armero, and I. Romero On the formulation of high-frequency dissipative time-stepping algorithms for non-linear dynamics. Part I: low-order methods for two model problems and nonlinear elastodynamics Comput Methods Appl Mech Eng 190 2001 2603 2649
F. Armero, and I. Romero On the formulation of high-frequency dissipative time-stepping algorithms for non-linear dynamics. Part II: second-order methods Comput Methods Appl Mech Eng 190 2001 6783 6824
Noels L, Stainier L, Ponthot J-P. Simulation of complex impact problems with implicit time algorithm: application to a blade-loss problem. Int J Impact Eng, submitted for publication.
J-P. Ponthot Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes Int J Plast 18 2002 91 126
T. Laursen, and J. Simo A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems Int J Numer Methods Eng 36 1993 3451 3485
H. Hilber, T. Hughes, and R. Taylor Improved numerical dissipation for time integration algorithms in structural dynamics Earthquake Eng Struct Dynam 5 1977 283 292
D. Karagiozova, and N. Jones Dynamic buckling of elastic-plastic square tubes under axial impact - II: structural response Int J Impact Eng 30 2004 167 192
M. Langseth, O. Hopperstad, and T. Berstad Crashworthiness of aluminium extrusions: validation of numerical simulation, effect of mass ratio and impact velocity Int J Impact Eng 22 1999 829 854
L. Noels, L. Stainier, J-P. Ponthot, and J. Bonini Automatic time stepping algorithms for implicit numerical simulations of non-linear dynamics Adv Eng Software 33 10 2002 581 595
M. Crisfield Non-linear finite element analysis of solids and structures vol. 1 2001 Wiley New York
Yang C-C. Dynamic buckling of square tubes. PhD thesis, University of Liverpool, 1997.
J. Chung, and G. Hulbert A time integration algorithms for structural dynamics with improved numerical dissipations: the generalized- α method J Appl Mech 60 1993 371 375
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