Free-Edge Interlaminar Stress Analysis of Composite Laminates Using Interface Modeling
Publication: Journal of Engineering Mechanics
Volume 138, Issue 8
Abstract
Interlaminar stresses near free edges in composite laminates were analyzed by considering interface modeling. Previous regular analytical solutions for free edge stress are not rigorous in their linear elastic modeling with dissimilar interfaces between homogeneous plies of laminated composites. Singular stress is not practical in reality at the free edge because it nearly never occurs in real situations. Until now, the analytical nonsingular approximate solutions have been accepted even though they cannot show the rigorous singular behavior at the free edges; this shortcoming is corrected within linear elasticity dissimilar interface modeling. In this study, a regular analytical solution is provided, which is rigorous within the linear elastic model featuring smoothly varying material properties through the thickness of the laminates. This interface modeling provides not only nonsingular stresses but concentrated finite interlaminar stresses using the principle of complementary virtual work and the stresses that satisfy the traction-free conditions not only at the free edges but also at the top and bottom surfaces of laminates are obtained. Significant reductions in stresses at the free edge were observed compared with the results without interface modeling. Various stress analyses were performed and the results demonstrate the usefulness of the proposed interface modeling.
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Acknowledgments
This work was supported by the Dongguk University Research Fund of 2010.
References
Andersen, S. I., and Nielsen, K. (1992). “Thermally induced residual stresses and failure initiation in angle ply laminates.” Proc., European Conf. on Composite Materials, edited by Bunsell, A. R., Jamet, J. F., and Massiah, A., eds., European Association for Composite Materials, 359–364.
Cho, M., and Kim, H. S. (2000). “Iterative free-edge stress analysis of composite laminates under extension, bending, twisting and thermal loadings.” Int. J. Solids Struct., 37(3), 435–459.IJSOAD
Cho, M., and Kim, J.-H. (1996). “Postprocess method using displacement field of higher order laminated composite plate theory.” AIAA J., 34(2), 362–368.AIAJAH
Cho, M., and Kim, J.-S. (1997). “Improved Mindlin plate stress analysis for laminated composites in finite element method.” AIAA J., 35(3), 587–590.AIAJAH
Cho, M., and Rhee, R. Y. (2004). “Optimization of laminates with free edges under bounded uncertainty subject to extension, bending and twisting.” Int. J. Solids Struct., 41(1), 227–245.IJSOAD
Cho, M., and Rhee, S. Y. (2003). “Layup optimization considering free-edge strength and bounded uncertainty of material properties.” AIAA J., 41(11), 2274–2282.AIAJAH
Cho, M., and Yoon, J. (1999). “Free-edge interlaminar stress analysis in composite laminates by the extended Kantorovich method.” AIAA J., 37(5), 656–660.AIAJAH
Diaz Diaz, A., and Caron, J.-F. (2006). “Interface plasticity and delamination onset prediction.” Mech. Mater., 38(7), 648–663.MSMSD3
Dym, C. L., and Shames, I. H. (1973). Solid mechanics: A variational approach, McGraw-Hill, New York.
Flanagan, G. (1994). “An efficient stress function approximation for the free-edge stresses in laminates.” Int. J. Solids Struct., 31(7), 941–952.IJSOAD
Haboussi, M., Dumontet, H., and Billoet, J. L. (2000). “Proposal of refined interface models and their application for free-edge effect.” Compos. InterfacesCMNTEU, 8(1), 93–107.
Haboussi, M., Dumontet, H., and Billoet, J. L. (2001). “On the modelling of interfacial transition behaviour in composite materials.” Comput. Mater. Sci.CMMSEM, 20(2), 251–266.
Kim, H. S., Cho, M., and Kim, G. I. (2000). “Free-edge strength analysis in composite laminates by the extended Kantorovich method.” Compos. Struct., 49(2), 229–235.COMSE2
Kim, H. S., Cho, M., Lee, J., Deheeger, A., Grédiac, M., and Mathias, J. S. (2010). “Three dimensional stress analysis of a composite patch using stress functions.” Int. J. Mech. Sci., 52(12), 1646–1659.IMSCAW
Kim, H. S., Rhee, S. Y., and Cho, M. (2008). “Simple and efficient interlaminar stress analysis of composite laminates with internal ply-drop.” Compos. Struct., 84(1), 73–86.COMSE2
Lee, J., Cho, M., and Kim, H. S. (2011). “Bending analysis of a laminated composite patch considering the free-edge effect using a stress-based equivalent single-layer composite model.” Int. J. Mech. Sci., 53(8), 606–616.IMSCAW
Lekhnitskii, S. G. (1963). Theory of elasticity of an anisotropic body, Holden-Day, San Francisco.
Nosier, A., and Maleki, M. (2008). “Free-edge stresses in general composite laminates.” Int. J. Mech. Sci., 50(10–11), 1435–1447.IMSCAW
Pagano, N. J., and Pipes, R. B. (1973). “Some observations on the interlaminar strength of composite laminates.” Int. J. Mech. Sci., 15(8), 679–688.IMSCAW
Pipes, R. B., and Pagano, N. J. (1970). “Interlaminar stresses in composite laminates under uniaxial extension.” J. Compos. Mater., 4(4), 538–548.JCOMBI
Rhee, S. Y., Cho, M., and Kim, H. S. (2006). “Layup optimization with GA for tapered laminates with internal plydrops.” Int. J. Solids Struct., 43(16), 4757–4776.IJSOAD
Spilker, R. L., and Chou, S. C. (1980). “Edge effects in symmetric composite laminates: importance of satisfying the traction-free-edge condition.” J. Compos. Mater., 14(1), 2–20.JCOMBI
Tahani, M., and Nosier, A. (2003). “Free edge stress analysis of general cross-ply composite laminates under extension and thermal loading.” Compos. Struct., 60(1), 91–103.COMSE2
Wang, S. S., and Choi, I. (1982). “Boundary-layer effects in composite laminates: Part 2—free-edge stress solutions and basic characteristics.” J. Appl. Mech., 49(3), 549–560.JAMCAV
Ye, J. Q., Sheng, H. Y., and Qin, Q. H. (2004). “A state space finite element for laminated composites with free edges and subjected to transverse and in-plane loads.” Comput. Struct., 82(15–16), 1131–1141.CMSTCJ
Yin, W. L. (1994a). “Free-edge effects in anisotropic laminates under extension, bending and twisting. Part 1—a stress function based variational approach.” J. Appl. Mech., 61(2), 410–415.JAMCAV
Yin, W. L. (1994b). “Free-edge effects in anisotropic laminates under extension, bending and twisting. Part 2—eigenfunction analysis and the results for symmetric laminates.” J. Appl. Mech., 61(2), 416–421.JAMCAV
Zhang, D., Ye, J., and Sheng, H. Y. (2006). “Free-edge and ply cracking effect in cross-ply laminated composite under uniform extension and thermal loading.” Compos. Struct., 76(4), 314–325.COMSE2
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 138 • Issue 8 • August 2012
Pages: 973 - 983
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Jun 23, 2011
Accepted: Dec 22, 2011
Published online: Dec 27, 2011
Published in print: Aug 1, 2012
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