Simulation du contact dans les assemblages boulonnés fissurés
Keywords:
boundary element method, contact, stress intensity factorsAbstract
The modelling of a bolted cracked joints requires an adapted method of representation of the fixations. Indeed, it is sometimes sufficient to respect the rate of effort transferred by the fixation. In other case, it is the local stress at the edge of the hole that wee need to know. In this last case, it is necessary to take into account the contact between the bolt and the plates as well as the contact of plates among them. The problem of the contact in the cracked assemblies is a 3D complex problem (bolt–plate contact, plate – plate side contact, bolt bending, bolt tightening…). We present in this article a 2D approach for solving this kind of problem. The rate of effort transferred by the fixation is respected and the stress field around the hole is well represented. The results of crack growth using the dual boundary element method coupled with the contact procedure are compared with the experimental results.
Downloads
References
[BRE 89] C.A. BREBBIA, J. DOMINGUEZ, « Boundary elements: an introductory course »,
McGrawHill
, 1989.
[DAN 92] B. W. DANDEKAR and R. J. CONAT, « Numerical analysis of elastic contact
problems using the boundary integral equation method», Int. J. Num. Meth. in
Engineering, V33, p. 15131522,
[KEB 01] H. KEBIR, J. M. ROELANDT and J. GAUDIN, « Monte-Carlo Simulations of life
expectancy using the dual boundary element method», Eng. Frac. Mech., V68, p. 1371-
, 2001.
[KEB 00] H. KEBIR, J. M. ROELANDT and J. GAUDIN, « Simulation de la propagation de
fissures dans les solides élastiques en modes mixtes par la méthode des équations
intégrales duales », Revue européenne des éléments finis, V 9, N° 8, 2000, p. 893-916.
[KEB 99] H. KEBIR, J. M. ROELANDT and J. FOULQUIER, « A new singular boundary element
for crack problems: Application to bolted joints », Eng. Frac. Mech., V62, p. 497-510,
[KLA 85] KLAUS-JURGEN BATHE and NIL CHAUDHARY, « A solution method for planar and
axisymmetric contact problems », Int. J. Num. Meth. in Engineering, V36, p. 26252642,
[MAN 94] K. W. MAN, « Contact mechanics using boundary elements », Topics in
Engineering, V22, Computational Mechanics publications, 1994.
[MAN 92] K. W. MAN, M. H. ALIABADI, D. P. ROOKE, « BEM frictional contact analysis :
load incremental technique », Computers & Structures, V21, p. 65-88, 1985.
[OLU 93] O. A. OLUKOKO and A. A. BECKER, « A new boundary element approch for contact
problems with friction », Int. J. Num. Meth. in Engineering, V36, p. 26252642,
[POR 92] PORTELA and M. H. ALIABADI, « The dual boundary element method: effective
implementation for crack problems », Int. J. Num. Meth. in Engineering, V33,
p. 12691287,
[SCH 95] J. SCHIJVE, « Multiplesite
damage in aircraft fuselage structures », Fatigue &
Fracture of Engineering Materials & Structures, p. 329344,1995.
[YAM 94] K. YAMAZAKI, J. SAKAMOTO and S. TAKUMI, « Penalty method for threedimensional
elastic contact problems by boundary element method », Computers &
Structures, V52, p. 895-903, 1994.
