On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites

Mechanics of Materials

Volumn 33, Issue 6, 2001, Pages 335-362

  Nairn, J A ^a   Mendels, D A ^b  

^a UNIVERSITY OF UTAH   (United States)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; MATHEMATICAL MODELS; MATRIX ALGEBRA; MULTILAYERS; STRESS ANALYSIS;

MULTILAYERED COMPOSITES; PLANAR SHEAR LAG ANALYSIS;

COMPOSITE MATERIALS;

EID: 0035370754     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(01)00056-4     Document Type: Article

References (48)

1. Bailey, J.E., Curtis, P.T., Parvizi, A., 1979. On the transverse cracking and longitudinal splitting behavior of glass and carbon fibre epoxy cross-ply laminates and the effect of Poisson and thermally generated strains. Proc. R. Soc. Lond. A 366, 599.
2. Caslini M., Zanotti C., O'Brien T.K. Fracture mechanics of matrix cracking and delamination in glass/epoxy laminates. J. Comp. Tech. Res. Winter. 1987;121.
3. Cox H.L. The elasticity and strength of paper and other fibrous materials. Brit. J. Appl. Phys. 3:1952;72.
4. Dharani L.R., Jones W.F., Goree J.G. Mathematical modeling of damage in unidirectional composites. Eng. Fract. Mech. 17:1983;555.
5. Dharani L.R., Tang H. Micromechanics characterization of sublaminates damage. Int. J. Fract. 46:1990;123.
6. Eringren A.C., Kim B.S. Stress concentration in filamentary composites with broken fibers. Lett. Appl. Eng. Sci. 2:1974;69.
7. Flaggs D.L. Prediction of tensile matrix failure in composite laminates. J. Comp. Mater. 19:1985;29.
8. Garrett K.W., Bailey J.E. Multiple transverse fracture in 90° cross-ply laminates of a glass fibre-reinforced polyester. J. Mater. Sci. 12:1977;157.
9. Gau Y.C., Mai Y.M., Cotterell B. Fracture of fiber-reinforced materials. J. Appl. Math. Phys. 39:1988;550.
10. Goree J.G., Gross R.S. Stresses in a three-dimensional unidirectional composite containing broken fibers. Eng. Fract. Mech. 13:1979a;395.
11. Goree J.G., Gross R.S. Analysis of a unidirectional composite containing broken fibers and matrix damage. Eng. Fract. Mech. 13:1979b;563.
12. Han, Y.M., Hahn, H.T., Croman, R.B., 1987. A simplified analysis of transverse ply cracking in cross-ply laminates. In: Proceedings of the American Society of Comp., Second Technical Conference, Newark, DE, 23-25 September.
13. Han Y.M., Hahn H.T., Croman R.B. A simplified analysis of transverse ply cracking in cross-ply laminates. Comp. Sci. Tech. 31:1987;165.
14. Hedgepeth, J.M., 1961. Stress Concentrations in Filamentary Structures. NASA TN D-882.
15. Hedgepeth J.M., Van Dyke P. Local stress concentrations in imperfect filamentary composite materials. J. Comp. Mater. 1:1967;294.
16. Hsueh C.H. Elastic load transfer from partially embedded axially loaded fibre to matrix. J. Mater. Sci. Lett. 7:1988;497.
17. Hsueh C.H. Modeling of elastic stress transfer in fiber-reinforced composites. Trends Polym. Sci. 10:1995;336.
18. Kim J.K., Baillie C., Mai Y.M. Interfacial debonding and fibre pull-out stresses part I: critical comparison of existing theories. J. Mater. Sci. 27:1991;3143.
19. Kulkarni S.V., Rosen B.W., Zweben C. Load concentration factors for circular holes in composite laminates. J. Comp. Mater. 7:1973;387.
20. Lacroix Th., Tilmans B., Keunings R., Desaeger M., Verpoest I. Modeling of critical fibre length and interfacial debonding in the fragmentation testing of polymer composites. Comp. Sci. Tech. 43:1992;379.
21. Laws N., Dvorak G.J. Progressive transverse cracking in composite laminates. J. Comp. Mater. 22:1988;900.
22. Lekhnitski S.G. Theory of an Anisotropic Body. 1981;MIR Publishers, Moscow.
23. Liu C.H., Nairn J.A. Analytical fracture mechanics of the microbond test including the effects of friction and thermal stresses. J. Adhes. Adhesives. 19:1999;59.
24. Manders P.W., Chou T.W., Jones F.R., Rock J.W. Statistical analysis of multiple fracture in [0/90/0] glass fiber/epoxy resin laminates. J. Mater. Sci. 19:1983;2876.
25. McCartney, L.N., 1992. Analytical models of stress transfer in unidirectional composites and cross-ply laminates, and their application to the prediction of matrix/transverse cracking. In: Reddy J.N., Reifsnider, K.L. (Eds.), Local Mechanics Concepts for Composite Material Systems, Proceedings of the IUTAM Symposium, Blacksburg, VA, 251.
26. McCartney, L.N., 1996. Stress Transfer Mechanics for Ply Cracks in General Symmetric Laminates. NPL Report CMMT(A) 50.
27. McCartney, L.N., Pierce, C., 1997. Stress transfer mechanics for multiple ply laminates for axial loading and bending. In: Proceedings of the ICCM-11, Gold Coast, Australia.
28. McManus H.L., Maddocks J.R. On microcracking in composite laminates under thermal and mechanical loading. Polym. Polym. Compos. 4:1996;305.
29. Mendels, D.A., Page, S.A., Leterrier, Y., Månson, J.A.E., Nairn, J.A., 2000. A modified double lap-shear test as a mean to measure intrinsic properties of adhesive joints. In: Proceedings of the ECCM 9, Brighton, UK, 4-7 June.
30. Nairn J.A. Fracture mechanics of unidirectional composites using the shear-lag model I: Theory. J. Comp. Mater. 22:1988a;561.
31. Nairn J.A. Fracture mechanics of unidirectional composites using the shear-lag model II: experiment. J. Comp. Mater. 22:1988b;589.
32. Nairn J.A., Liu S., Chen H., Wedgewood A.R. Longitudinal splitting in epoxy and k-polymer composites: shear-lag analysis including the effect of fiber bridging. J. Comp. Mater. 25:1990;1086.
33. Nairn J.A., Hu S., Bark J.S. A critical evaluation of theories for predicting microcracking in composite laminates. J. Mater. Sci. 28:1993;5099.
34. Nairn, J.A., Hu, S., 1994. Micromechanics of damage: A case study of matrix microcracking. In: Talreja, R. (Ed.) Damage Mechanics of Composite Materials. Elsevier, Amsterdam, p. 187.
35. Nairn J.A., Wagner H.D. A revised shear-lag analysis of an energy model for fiber-matrix debonding. Adv. Comp. Lett. 5:1996;131.
36. Nairn J.A. On the use of shear-lag methods for analysis of stress transfer in unidirectional composites. Mech. Mater. 26:1997;63.
37. Nairn, J.A., 2000. Matrix microcracking in composites. In: Talreja, R., Månson, J.A.E. (Eds.), Polymer Matrix Composites; Kelly, A., Zweben, C., (Eds.), Comprehensive Composite Materials, vol. 2. Elsevier, Amsterdam, p. 403.
38. Nairn, J.A., 2000. Matrix microcracking in composites. In: Talreja, R., Månson, J.A.E. (Eds.), Polymer Matrix Composites; Kelly, A., Zweben, C., (Eds.), Comprehensive Composite Materials, vol. 2. Elsevier, Amsterdam, p. 403.
39. Nayfeh A.H. Thermomechanically induced interfacial stresses in fibrous composites. Fibre Sci. Technol. 10:1977;195.
40. Phoenix, S.L., Beyerlein, I.J., 2000. Statistical strength theory for fibrous composite materials. In: Chou, T.W. (Ed.), Fiber Rein-Forcements and General Theory of Composites; Comprehensive Composite Materials, vol. 1; Kelly, A., Zweben, C. (Eds.), Elsevier, Amsterdam, p. 559.
41. Phoenix, S.L., Beyerlein, I.J., 2000. Statistical strength theory for fibrous composite materials. In: Chou, T.W. (Ed.), Fiber Rein-Forcements and General Theory of Composites; Comprehensive Composite Materials, vol. 1; Kelly, A., Zweben, C. (Eds.), Elsevier, Amsterdam, p. 559.
42. Phoenix, S.L., Beyerlein, I.J., 2000. Statistical strength theory for fibrous composite materials. In: Chou, T.W. (Ed.), Fiber Rein-Forcements and General Theory of Composites; Comprehensive Composite Materials, vol. 1; Kelly, A., Zweben, C. (Eds.), Elsevier, Amsterdam, p. 559.
43. Piggott M.R. Debonding and friction at fiber-polymer interfaces. I: criteria for failure and sliding. Comp. Sci. Technol. 30:1987;295.
44. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical Recipes in C. 1988;Cambridge University Press, New York.
45. Reifsnider, K.L., 1977. Some fundamental aspects of the fatigue and fracture response of composite materials. In: Proceedings of the 14th Annual Meeting of SES, Lehigh, PA, November, Lehigh, PA, November.
46. Tan S.C., Nuismer R.J. A Theory for progressive matrix cracking in composite laminates. J. Comp. Mater. 23:1989;1029.
47. Timoshenko S.P., Goodier J.N. Theory of Elasticity. third ed. 1970;McGraw-Hill, New York.
48. Zhou L.M., Kim J.K., Mai Y.M. Interfacial debonding and fiber pull-out stresses. Part II: A new model based on the fracture mechanics approach. J. Mater. Sci. 27:1992;3155.