A method based on singularity theory to predict edge delamination of laminates

International Journal of Fracture

Volumn 100, Issue 1, 1999, Pages 105-120

  Leguillon, D ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Composite materials; Delamination; Elasticity

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CRACK PROPAGATION; DELAMINATION; ELASTICITY; INTERFACES (MATERIALS); LAMINATED COMPOSITES; MATHEMATICAL MODELS; MICROCRACKS; SENSITIVITY ANALYSIS; STRESS ANALYSIS; STRESS CONCENTRATION;

CROSS-PLY LAMINATES; INTERFACE TOUGHNESS;

FRACTURE MECHANICS;

EID: 0033347288     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018382422833     Document Type: Article

References (31)

1. Allix, O. (1992). Damage analysis of delamination around a hole, in New Advances in Computational Structural Mechanics (Edited by P. Ladeveze and O.C. Zienkiewicz), Elsevier, Amsterdam, pp. 411-421.
2. Allix, O. and Ladevèze P. (1996). Damage Mechanics of interfacial media: basic aspects, identification and application to delamination, in Damage and Interfacial Debonding in Composites (Edited by Voyiadjis G.Z. and Allen D.H.), Studies in Applied Mechanics 44, Elsevier, Amsterdam, pp. 167-188.
3. Benzeggagh, M.L., Gong, X.J. and Roelandt, J.M. (1988). Rupture interlaminaire en mode mixte (I,II), Comptes Rendus des 6ème Journées Nationales sur les Composites (Edited by Favre J.P. and Valentin D.), AMAC, Paris, pp. 365-377.
4. Bui, H.D. and Taheri, S. (1989). La singularité 'épine' dans les bi-matériaux en thermo-élastoplasticité, C.R. Acad. Sci. Paris 309, série II, pp. 1527-1533.
5. Cole, J.D. and Kevorkian, J. (1980). Perturbations Methods in Applied Mathematics, Springer-Verlag, New York.
6. s, thesis, Université P. et M. Curie, Paris.
7. Delisée, I. and Leguillon, D. (1993). Etude du crazing des composites stratifiés, communication to the 11ème Congrès Français de Mécanique, Lille.
8. Daudeville, L. and Ladevèze, P. (1994). Une méthode simplifiée pour l'analyse du délaminage auprès d'un bord droit, Revue Eur. des éléments finis, 3(1), 127-150.
9. Engrand, D. (1985). Local effects calculations in composite plates by a boundary layer method, in Local effects in the analysis of structures Studies in applied mechanics 12, Elsevier, Amsterdam, 199-214.
10. Friedrichs, O.K. and Dressler, R.F. (1961). A boundary layer theory for elastic plates, Communications on Pure and Applied Mathematics, 14, 1-33.
11. Il'in, A.M. (1992). Matching of asymptotics expansions of solutions of boundary value problems, Translations of Mathematical Monographs, 102, American Mathematical Society.
12. Kalamkarov, A.L. (1992). Composite and reinforced elements of construction, J. Wiley, Chichester, New York.
13. Kim, T.W. and Im, S. (1995). Boundary layers in wedges of laminated composite strips under generalized plane deformation - part 1: asymptotic solutions, part 2: numerical solutions, Int. J. Solids and Structures, 32(5), 609-628 and 629-645.
14. Kim, T.W., Kim, H.J. and Im, S. (1991). Delamination crack originating from tranverse cracking in cross-ply composite laminates under extension, Int. J. Solids and Structures, 27(15), 1925-1941.
15. Lecuyer, F. (1991). Note technique no NT991Ci.47, Bertin et Cie, Plaisir, France.
16. Le Dantec, E. (1991). Note technique no NT91Ci.46, Bertin et Cie, Plaisir, France.
17. Leguillon, D. (1989). Calcul du taux de restitution de l'énergie au voisinage d'une singularité, C.R. Acad. Sci. Paris, 309, série II, 155-160.
18. Leguillon, D. (1993a). Asymptotic and numerical analysis of a crack branching in non-isotropic materials, Eur. J. Mech., A/Solids, 12(1), 33-51.
19. Leguillon, D. (1993b). Analysis of the brittle fracture in composites using singularities, in Mecamat 93, International seminar on micromechanics of materials, Eyrolles, Paris, 60-71.
20. Leguillon, D. (1995). Computation of 3D singularities in elasticity, in Boundary value problems and integral equations in nonsmooth domains, Lectures Notes in Pure and Applied Mathematics, 167, M. Dekker, New York, 161-170.
21. Leguillon, D. (1997). Asymptotic analysis of a spontaneous crack growth, application to a blunt crack, to appear in proceedings of the IUTAM Symposium on non-linear singularities in deformation and flow, Haifa, Israel, 17-21 March 1997.
22. Leguillon, D. and Sanchez-Palencia, E. (1987). Computation of Singular Solutions in Elliptic Problems and Elasticity, John Wiley, New York.
23. Lemaître, J., Leckie, F.A. and Sherman, D. (1992). Crazing of laminates, Eur. J. of Mech., A/Solids, 11(3), 289-304.
24. Liu, S. and Chang, F.K. Matrix cracking effect on delamination growth in composite laminates induced by a spherical indenter, J. of Composite Materials, 28(10), 940-977.
25. Pipes, B.R. and Pagano, N.J. (1970). Interlaminar stresses in composite laminates under uniform axial extension, J. of Composite Materials, 4, 538-548.
26. Sanchez-Palencia, E. (1987) Boundary layers and edge effects in composites, in Homogenization techniques for composite media, E. Sanchez-Palencia and A. Zaoui eds., Lect. Notes in Phys., 272, Springer-Verlag, Berlin, 122-192.
27. Storakers, B. (1989). Non linear aspects of delamination in structural members, in Theoretical and Applied Mechanics, P. Germain, M. Piau and D. Caillerie eds., IUTAM, Elsevier, Amsterdam, 315-335.
28. Van Dyke, M. (1964). Asymptotic methods in fluid mechanics, Academic-Press, New-York.
29. Wang, S.S. and Choi, I. (1982). Boundary layer effects in composite laminates, I- Free edge stress singularites, II-Free edge stress solutions and characteristics, J. of Appl. Mech., 49(1), 541-548 and 549-560.
30. Yang, H.T.Y. and He C.C. (1994). Three dimensional finite element analysis of free edge stresses and delamination of composite laminates, J. of Composite Materials, 28(15), 1394-1412.
31. Zwiers, R.I., Ting, T.C.T. and Spilker, R.L. (1982). On the logarithmic singularity of free-edge stress in laminated composites under uniform extension, J. of Appl. Mech., 49, 561-568.