Une methode simplifiee pour l'analyse du delaminage aupres d'un bord droit
Keywords:
laminates, damage, delamination, finite-elementsAbstract
A simplified method based upon damage mechanics for the delamination analysis of composites is presented. In the neighbourhood of a quasi-straight edge of a laminated structure, damage is taken concentrated on the interface between layers. The finite element code EDA, acting as a post-processor of an elastic laminate shell computation, allows the prediction of delamination onset and propagation. Numerical simulations of delamination are given and compared with experimental results from literature.
Downloads
References
[AlL 88] ALLEN D.H., GROVES S.E. & HARRIS C.E., « A Cumulative Damage Model
for Continuous Fiber Composite Laminates with Matrix Cracking and Interply
Delaminations, Composite Materials : Testing and Design », WITHCOMB J.D. (Ed.),
ASTM-STP 972 (1988) 57-80
[AlL92] ALLIX 0. & LADEVEZE P., « Interlaminar Interface Modelling for the
Prediction of Delamination », Composite Structures, 22 (1992) 235-242
[BAR 83] BAR-YOSEPH P., «On the Accuracy of Interlaminar Stress Calculation in
Laminated Plates », Comp. Meth. in Applied Mech. and Eng., 36 (1983) 309-329
[CRI 83] CRISFIELD M.A., « An Arc-length Method Including Line Searches and
Accelerations », Int. Journal for NumMethods in Eng, 19 (1983) 1269-1289
[DAU 90] DAUDEVILLE L., « Une Nouvelle Approche du Delaminage des Composites
Stratifies >>, Comptes rendus des 7e Journees nationales sur les composites JNC-7,
FANTOZZI G. & FLEISCHMANN P. (Ed), AMAC (1990) 599-607
[DUM 86] DUMONTET H., « Study of a Boundary Layer Problem in Elastic Composite
Materials >>, M2AN, 20 (1986) 265-286
[ENG 81] EN GRAND D., « A Boundary Layer Approach to the Calculation of Transverse
Stresses along the Free Edges of a Symmetric Laminated Plate of Arbitrary Width
under in Plane Loading >>, Composite Structures, (1981) 247-261
[FRI 61] FRIEDRICHS K.O. & DRESSLER R.F., «A Boundary Layer Theory for Elactic
Plates », Comm. on Pure and Applied Mathematics, 14 (1961) 1-33
[KIM 84] KIM R.Y.& SONI S.R., «Experimental and Analytical Studies on the Onset
of Delamination in Laminated Composites >>, Journal of Composite Materials, 18
(1984) 70-76
[KIM 86] KIM R.Y. & SONY S.R., «Delamination of Composite Laminates Stimulated
by Interlaminar Shear >>, ASTM-STP 893, (1986) 286-307
[LAD 88] LADEVEZE P., « Les modeles classiques et leurs extensions pour Ie calcul des
plaques, Calcul des structures et intelligence artificielle », FOUET, LADEVEZE &
OHAYON (Ed.), Pluralis, 4 [1988]99-118
[LAD 90] LADEVEZE P., ALLIX 0. & DAUDEVILLE L., « Mesomodeling of Damage for
Laminate Composites : Application to Delamination >>, IUTAM Symposium on
Inelastic Deformation of Composites Materials, Troy, DVORAK G.J. (Ed.), SpringerVerlag
(1990) 607-622
[LAD 92a] LADEVEZE P., «Towards a Fracture Theory>>, Proc. 3rd Int. Conf. on Computational
Plasticity Part//, OWEN P.J., ONATE E. & HINTON E. (Ed.}, Pineridge press,
(1992) 1369-1400
[LAD 92b] LADEVEZE P. & LE DANTEC E., «Damage Modelling of the elementary ply
for laminated composites >>, Composites Science and Technology, 43 (1992) 257-
[LAG 88] LAGACE P.A. & BREWER J.C., «Quadratic stress criterion for initiation of
delamination >>, Journal of Composite Materials, 22 (1988) 1141-1155
[LAK 91] LAKSIMI A., BENZEGGAGH M.L., JING G., HECINI M., ROELANDT J.M.,
« Mode I lnterlaminar Fracture of Symmetrical Cross-ply Compo~>ites >>, Composites
Science and Technology, 41 (1991) 147-164
[LEN 81] LENE F., LEGUILLON D., « Etude de !'influence d'un glissement entre les
constituants d'un materiau composite sur ses coefficients de comportement effectifs >>,
Journal de Mecanique, 20 [1981] 509-536
[O'BR 82] O'BRIEN T.K., « Characterization of Delamination Onset and Growth in a
Composite Laminate, Damage in Composite Materials >>, REIFSNIDER K.L. (Ed.),
ASTM-STP 775 (1982) 140-167
[PIP 70] · PIPES R.B. & PAGANO N.J., « Interlaminar Stresses in Composite Laminates
under Axial Extension >>, Journal of Composite Materials, 4 (1970) 538-548
[RIK 79] RIKS E., « An Incremental Approach to the Solution of Snapping and
Buckling problems >>, International Journal of Solids and Structures, 15 (1979) 524-
[ROD 78] RODIN! B.T. & EISENMAN J.R., « An analytical and Experimental
Investigation of Edge Delamination in Composite Laminates >>, Proc. 4th Conf.
Fibrous Comp. San Diego, Lenoe & OPLINGER & BURKE (Ed.}, (1978) 441-457
[SCH 91] SCHELLEKENS J.C.J. & DE BORST R., «Numerical Simulation of Free Edge
Delamination in Graphite Epoxy Specimen under Uniaxial Extension >>, Sixth
Jn(ernational Conf. on Composite Structures ICCS6, Paisley, MARSHALL I.H. {Ed.),
Elsevier Science Publishers (1991) 647-657
[SEL 89] SELA N. & ISHAI 0., « Interlaminar Fracture Toughness and Toughening of
Laminated Composite Materials : A Review », Composites, 20 (1989) 423-435
[TAL89] TALREJA R., «Damage Development in Composites : Mechanisms and
Modelling », Journal of Strain Analysis, 24 (1989) 215-222
[TSA 71] TSAI S.W. & WU E., « A General Theory of Strengh for Anisotropic
Materials », Journal of Composite Materials, 5 (1971) 58-80
[WAN 85] WANG A.S.D., SLOMANIA M. & BUCINELL R.B., « Delamination Crack
Growth in Composite Laminates, Delamination and Debonding of Materials »,
JOHNSON W.S. (Ed.), ASTM STP 876 (1985) 135-167
[WAN 89] WANG A.S.D., « Fracture Analysis of Interlaminar Cracking », Inter laminar
Response of Composite Materials, Composite Material Series, PAGANO N.J. (Ed),
Elsevier Science Publishers, 5 (1989) 69-109
[WHI 89] WHITNEY J.M., « Experimental Characterization of Delamination Fracture »,
lnterlaminar Response of Composite Materials, Composite Material Series, PAGANO
N.J. (Ed), Elsevier Science Publishers, 5 (1989) 161-250