Doubly periodic matrix cracking in composite laminates part 1: General in-plane loading

Composite Structures

Volumn 36, Issue 1-2, 1996, Pages 113-130

  Henaff Gardin, C ^a   Lafarie Frenot, M C ^a   Gamby, D ^a  

^a Site du Futuroscope   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRACK INITIATION; DYNAMIC LOADS; ELASTIC MODULI; FATIGUE TESTING; FIBER REINFORCED MATERIALS; LOAD TESTING; MATHEMATICAL MODELS; NONMETALLIC MATRIX COMPOSITES; STRAIN; STRESS ANALYSIS; STRESS CONCENTRATION;

DOUBLY PERIODIC MATRIX CRACKING; STRAIN ENERGY RELEASE RATE;

LAMINATED COMPOSITES;

COMPOSITES, FIBRE-REINFORCED, LAMINATED; MATHEMATICAL ANALYSIS; MATHEMATICAL MODELS;

EID: 0030235580     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(96)00071-2     Document Type: Article

References (55)

1. Garrett, K. W. and Bailey, J. E., Multiple transverse fracture in 90° cross-ply laminates of a glass-fiber reinforced polyester. J. Mater. Sci., 1977, 12, 157-168.
2. Smith, P. A. and Wood, J. R., Poisson's ratio as a damage parameter in the static tensile loading of simple crossply laminates. Comp. Sci. Technol., 1990, 38, 85-93.
3. Talreja, R., Transverse cracking and stiffness reduction in composite laminates. J. Comp. Mater., 1985, 19, 355-375.
4. Varna, J. and Berglund, L. A., Thermo-elastic properties of composite laminates with transverse cracks. J. Comp. Technol. Res., 1994, 16(1), 77-87.
5. Praveen, G. N. and Reddy, J. N., Stiffness reduction in composite laminates due to transverse matrix cracks. In IUTAM Symposium on Microstructure -Property Interactions in Composite Materials, Aalborg, Denmark, 1994.
6. Lee, J. W. and Daniel, I. M., Progressive transverse cracking of crossply composite laminates. J. Comp. Mater., 1990, 24(11), 1225-1243.
7. s graphite epoxy laminates under tensile load. J. Comp. Technol. Res., 1993, 15(2), 95-100.
8. Xu, L. Y., Interaction between matrix cracking and edge delamination in composite laminates. Comp. Sci. Technol., 1994, 50(4), 469-478.
9. Spearing, S. M., Beaumont, P. W. R. and Smith, P. A., Fatigue damage mechanics of composite materials Part IV: Prediction of post-fatigue stiffness. Comp. Sci. Technol., 1992, 44, 309-317.
10. Renard, J., Modelling of a damaged composite specimen by a micro-macro numerical simulation. In ASME ETCE Congress, Advances in the Mechanics of Composite Structures, New Orleans, LA, 1990.
11. Gudmundson, P. and Östlund, S., First order analysis of stiffness reduction due to matrix cracking. J. Comp. Mater., 1992, 26(7), 1009-1030.
12. Gudmundson, P. and Zang, W. L., An analytic model for thermoelastic properties of composite laminates containing transverse matrix cracks. Int. J. Solids Struct., 1993, 30(23), 3211-3231.
13. Dvorak, G. J., Laws, N. and Hejazi, M., Analysis of progressive matrix cracking in composite laminates I. Thermoelastic properties of a ply with cracks. J. Comp. Mater., 1985, 19, 216-234.
14. Nairn, J. A., The strain energy release rate of composite microcracking: a variational approach. J. Comp. Mater., 1989, 23, 1106-1129.
15. Hashin, Z., Analysis of orthogonally cracked laminates under tension. J. Appl. Mech., 1987, 54, 872-879.
16. Varna, J. and Berglund, L., Multiple transverse cracking and stiffness reduction in cross-ply laminates. J. Comp. Technol. Res., 1991, 13(2), 97-106.
17. s cross-ply laminates. Eur. J. Mech. A - Solids. 1993, 12(5), 699-723.
18. Lee, J. W., Allen, D. H. and Harris, C. E., Internal state variable approach for predicting stiffness reductions in fibrous laminated composites with matrix cracks. J. Comp. Mater., 1989, 23, 1273-1291.
19. Jen, K. C. and Sun, C. T., Matrix cracking and delamination prediction in graphite/epoxy laminates. In Composite Materials in Transition, Proc. American Society for Composites, 5th Techn. Conference. Technomic, Lancaster, PA, 1990, pp. 350-360.
20. Brillaud, J. and El Mahi, A., Numerical simulation of the influence of the stacking sequence on transverse ply cracking in composite laminates. Composite Struct., 1991, 17, 23-35.
21. Gudmundson, P. and Östlund, S., Numerical verification of a procedure for calculation of elastic constants in microcracking composite laminates. J. Comp. Mater., 1992, 26(17), 2480-2492.
22. Leblond, P., El Mahi, A. and Berthelot, J. M., Modélisation numérique bidimensionnelle et tridimensionnelle des composites stratifiés endommagés par fissuration transverse. In 9émes Journées Nationales sur les Composites JNC9, AMAC, Saint-Etienne, 1994, pp. 443-452.
23. Lafarie-Frenot, M. C. and Henaff-Gardin, C., Formation and growth of 90° ply fatigue cracks in carbon/epoxy laminates. Comp. Sci. Technol., 1991, 40(3), 307-324.
24. Nuismer, R. J. and Tan, S. C., Constitutive relations of a cracked composite lamina. J. Comp. Mater., 1988, 22, 306-321.
25. Han, Y. M., Hahn, H. T. and Croman, R. B., A simplified analysis of transverse ply cracking in cross-ply laminates. In Second Conference of ASC, 1987, pp. 503-514.
26. Dvorak, G. J. and Laws, N., Analysis of progressive matrix cracking in composite laminates II: first ply failure. J. Comp. Mater., 1987, 21, 309-329.
27. Caslini, M., Zanotti, C. and O'Brien, T. K., Study of matrix cracking and delamination in glass/epoxy laminates. J. Comp. Technol. Res., 1987, 9(4), 121-130.
28. McCartney, L. N., Theory of stress transfer in a 0°-90°-0° cross-ply laminate containing a parallel array of transverse cracks. J. Mech. Phys Solids. 1992, 40(1), 27-68.
29. Swanson, S. R., On the mechanics of microcracking in fiber composite laminates under combined stress. J. Engng Mater. Technol., 1989, 111, 145-149.
30. Fan, J. and Zhang, J., In situ damage evolution and micro/macro transition for laminated composites. Comp. Sci. Technol., 1993, 47, 107-118.
31. Reifsnider, K. L., Some fundamental aspects of the fatigue and fracture response of composite materials. In 14th Annual Meeting of Society of Engineering Science, Bethlehem, USA, 1977, pp. 373-384.
32. Lim, S. G. and Hong, C. S., Effect of transverse cracks on the thermomechanical properties of cross-ply laminated composites. Comp. Sci. Technol., 1989, 34, 145-162.
33. Ganczakowski, H. L., Ashby, M. F., Beaumont, P. W. R. and Smith, P. A., The behaviour of kevlar fibre-epoxy laminates under static and fatigue loadings. Part 2: modelling. Comp. Sci. Technol., 1990, 37, 371-392.
34. Boniface, L., Ogin, S. L. and Smith, P. A. The change in thermal expansion coefficient as a damage parameter during thermal cycling of crossply laminates. In Composite Materials: Fatigue and Fracture, fourth volume, eds W. W. Stinchomb and N. E. Ashbaugh. American Society for Testing of Materials, 1993, pp. 139-160.
35. Guild, F. J., Ogin, S. L. and Smith, P. A., Modelling of 90° ply cracking in crossply laminates, including three-dimensional effects. J. Comp. Mater., 1993, 27(7), 646-667.
36. Peters, P. W. M. and Andersen, S. I., The influence of matrix fracture strain and interface strength on cross-ply cracking in CFRP in the temperature range of -100°C to +100°C. J. Comp. Mater., 23, 1989, 955-960.
37. Gamby, D. and Rebiere, J. L., A two-dimensional analysis of multiple matrix cracking in a laminated composite close to its characteristic damage state. Composite Struct., 1993, 25, 325-337.
38. Gamby, D., Henaff-Gardin, C. and Rebiere, J. L., Modelling of the damage distribution along the width of a composite laminate subjected to a tensile fatigue test. In Second International Conference Computer Aided Assessment and Control Localized Damage, Southampton, 1992, pp. 315-325.
39. s GFRP laminate. Comp. Sci. Technol., 1985, 2, 23-31.
40. Gamby, D., A numerical model for the accumulation of transverse cracks in a composite laminate subjected to tensile fatigue loading. Comp. Sci. Technol., 1994, 50(3), 285-291.
41. El Mahi, A., Leblond, P. and Berthelot, J. M., Simulation numérique de la propagation des fissures transverses des composites stratifiés au cours des essais de fatigue. In JNC9. AMAC, Saint-Etienne, 1994, pp. 423-432.
42. Henaff-Gardin, C., Lafarie-Frenot, M. C., Brillaud, J. and El Mahi, A., Influence of the stacking sequence on fatigue transverse cracking in cross-ply laminates. In Damage Detection in Composite Materials, ed. J. E. Masters. American Society for Testing and Materials, Philadelphia, 1992, pp. 236-255.
43. s composiste laminates. 1. In-plane stiffness properties. Composites, 1992, 23(5), 291-298.
44. Zhang, J., Fan, J. and Soutis, C., Analysis of multiple matrix cracking in (± 0/90n)s composite laminates, 2. Development of transverse ply cracks. Composites, 1992, 23(5), 299-304.
45. Nairn, J. A., Hu, S. F. and Bark, J. S., A critical evaluation of theories for predicting microcracking in composite laminates. J. Mater. Sci., 1993, 28(18), 5099-5111.
46. McCartney, L.N., The prediction of cracking in biaxially loaded cross-ply laminates having brittle matrices. Composites, 1993, 24(2), 84-92.
47. Tsai, C. L. and Daniel, I. M., The behavior of cracked cross-ply composite laminates under simple shear loading. Comp. Engng., 1991, 1(1), 3-11.
48. Renard, J., Favre, J. P. and Jeggy, T., Influence of transverse cracking on ply behavior: introduction of a characteristic damage variable. Comp. Sci. Technol., 1993, 46, 29-37.
49. Daniel, I. M. and Tsai, C. L., Analytical/experimental study of cracking in composite laminates under biaxial loading. Comp. Engng., 1991, 1(6), 355-362.
50. Tohgo, K., Akizuki, K. and Ishii, H., Progressive splitting damage and stress strain response in cross-ply laminate. In ICM7, The Hague, 1995, pp. 267-268.
51. Tsai, C. L. and Daniel, I. M., The behavior of cracked cross-ply composite laminates under shear loading. Int. J. Solids Struct., 1992, 29(24), 3251-3267.
52. Tsai, C. L., Daniel, I. M. and Lee, J. W., Progressive matrix cracking of crossply composite laminates under biaxial loading. In Winter Annual Meeting of the ASME. American Society of Mechanical Engineers, Dallas, TX, 1990, pp. 9-18.
53. Lafarie-Frenot, M. C., Henaff-Gardin, C. and Tahiri, V. L., Evolution of fatigue damage in various carbon/ epoxy laminates. In Seventh International Conference on Mechanical Behaviour of Materials, 28 May-2 June 1995, The Hague.
54. Bookholt, H., Brokopt, C., Curtis, P. T., Hart, W. G. J.'t, Kröber, I. and Sigety, P., The investigation and understanding of improved CFRP composite materials. In Technical Publication 060, ed. Garteur, Onera, 1990.
55. Hahn, H. T. and Johanesson, T., Fracture of unidirectional composites: theory and applications. In Mechanics of Composite Materials, ed. G. J. Dvorak. The American Society of Mechanical Engineering, New York, 1983, pp. 135-142.