Failure Analysis of Composite Plates Subjected to Localized Loadings via a Unified Formulation
Publication: Journal of Engineering Mechanics
Volume 138, Issue 5
Abstract
A failure analysis of composite plates accounting for localized loadings is presented in this work. A unified formulation is adopted to derive classical, higher order, layerwise, and mixed theories. A closed form, Navier-type solution is assumed. Simply supported, cross-ply laminates are investigated. Plates are subjected to a stepwise loading, an off-centric localized one and a localized moment. First-ply failure loading and index are obtained via several failure criteria. The influence of the side-to-thickness ratio is accounted for investigating thin and very thick plates. Symmetric and asymmetric stacking sequences are investigated. The accuracy of the proposed theories is assessed. On the basis of the obtained results, it can be concluded that higher order models are required for a correct failure analysis in which the three-dimensional stress state attributable to the localized loadings is accurately described.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
First and third authors are partly supported by the Fonds National de la Recherche Luxembourg (FNR) via the CORE project C09/MS/05 FUNCTIONALLY. Second author is supported by FNR through Aides à la Formation Recherche Grant PHD-09-184.
References
Akhras, G., and Li, W. C. (2007). “Progressive failure analysis of thick composite plates using the spline finite strip method.” Compos. Struct.COMSE2, 79(1), 34–43.
Basu, S., Waas, A. M., and Ambur, D. R. (2006a). “Compressive failure of fiber composites under multi-axial loading.” J. Mech. Phys. SolidsJMPSA8, 54(3), 611–634.
Basu, S., Waas, A. M., and Ambur, D. R. (2006b). “A macroscopic numerical model for kink banding instabilities in fiber composites.” J. Mech. Mater. Struct., 1(6), 979–1000.
Basu, S., Waas, A. M., and Ambur, D. R. (2007). “Prediction of progressive failure in multidirectional composite laminated panels.” Int. J. Solids Struct.IJSOAD, 44(9), 2648–2676.
Carrera, E. (2003). “Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking.” Arch. Comput. Methods Eng., 10(3), 215–296.
Carrera, E., and Giunta, G. (2009). “Hierarchical evaluation of failure parameters in composite plates.” AIAA J.AIAJAH, 47(3), 692–702.
Chai, Y., and Gadke, M. (1999). “Impact damage simulation and compression after impact of composite stiffened panels.” Rep. IB 20, German Aerospace Center (DLR), Cologne, Germany, 99–131.
Chang, K., Liu, S., and Chang, F. (1991). “Damage tolerance of laminated composites containing an open hole and subjected to tensile loadings.” J. Compos. Mater.JCOMBI, 25(3), 274–301.
Hashin, Z. (1980). “Failure criteria for unidirectional fiber composites.” J. Appl. Mech.JAMCAV, 47(2), 329–334.
Hill, R. (1948). “A theory of the yielding and plastic flow of anisotropic metals.” Proc.-R. Soc. London, Series A: Math. Phys. Sci., 193(1033), 281–297.
Hinton, M. J., and Soden, P. D. (1998). “Predicting failure in composite laminates: The background to the exercise.” Compos. Sci. Technol.CSTCEH, 58(7), 1001–1010.
Hoffman, O. (1967). “The brittle strength of orthotropic materials.” J. Compos. Mater.JCOMBI, 1(2), 200–206.
Huang, Z. M. (2001). “Simulation of the mechanical properties of fibrous composites by the bridging micromechanics model.” Composites, Part ACASMFJ, 32(2), 143–172.
Huang, Z. M. (2007). “Failure analysis of laminated structures by FEM based on non-linear constitutive relationship.” Compos. Struct.COMSE2, 77(3), 270–279.
Kam, T. Y., and Jan, T. B. (1995). “First-ply failure analysis of laminated composite plates based on the layerwise linear displacement theory.” Compos. Struct.COMSE2, 32(1–4), 583–591.
Kam, T. Y., Sher, H. F., Chao, T. N., and Chang, R. R. (1996). “Predictions of deflection and first-ply failure load of thin laminated composites plates via the finite element approach.” Int. J. Solids Struct.IJSOAD, 33(3), 375–398.
Kelly, G., and Hallstrom, S. (2005). “Strength and failure mechanism of composite laminates subject to localised transverse loading.” Compos. Struct.COMSE2, 69(3), 301–314.
Lee, J. D. (1982). “Three dimensional finite element analysis of damage accumulation in composite laminate.” Comput. Struct.CMSTCJ, 15(3), 335–350.
Mindlin, E. (1951). “Influence of the rotatory inertia and shear in flexural motions of isotropic elastic plates.” J. Appl. Mech.JAMCAV, 18(1), 31–38.
Mohite, P., and Upadhyay, C. (2006). “Accurate computation of critical local quantities in composite laminated plates under transverse loading.” Comput. Struct.CMSTCJ, 84(10–11), 657–675.
Onkar, A. K., Yadav, D., and Upadhyay, C. S. (2007). “Probabilistic failure of laminated composites plates using the stochastic finite element method.” Compos. Struct.COMSE2, 77(1), 79–91.
Padhi, G. S., Shenoi, R. A., Moy, S. S. J., and Hawkins, G. L. (1997). “Progressive failure and ultimate collapse of laminated composite plates in bending.” Compos. Struct.COMSE2, 40(3–4), 277–291.
Pagano, N. J. (1970). “Exact solutions for rectangular bidirectional composites and sandwich plates.” J. Compos. Mater.JCOMBI, 4(1), 20–34.
Pandey, A. K., and Reddy, J. N. (1987). “A post first-ply failure analysis of composites laminates.” 28th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., American Institute of Aeronautics and Astronautics, Reston, VA, 788–797.
Pinho, S. T., Dávila, C. G., Camanho, P. P., Iannucci, L., and Robinson, P. (2005). “Failure models and criteria for frp under in-plane or three-dimensional stress states including shear non-linearity.” Tech. Rep., NASA.
Puck, A. (1996). “Festigkeitsanalyse von faser-matrix-laminaten. Modelle für die praxis.” Carl Hanser Verlag München Wien, Munich, Germany (in German).
Puck, A., and Schürmann, H. (1998). “Failure analysis of FRP laminates by means of physically based phenomenological models.” Compos. Sci. Technol.CSTCEH, 58(7), 1045–1067.
Puck, A., and Schürmann, H. (2002). “Failure analysis of FRP laminates by means of physically based phenomenological models.” Compos. Sci. Technol.CSTCEH, 62(12-13), 1633–1662.
Reddy, J. N. (2004). Mechanics of laminated composite plates and shells. Theory and Analysis, 2nd ed., CRC, Boca Raton, FL.
Reddy, J. N., and Pandey, A. K. (1987). “A first-ply failure analysis of composites laminates.” Comput. Struct.CMSTCJ, 25(3), 371–393.
Reissner, E. (1945). “The effect of transverse shear deformation on the bending of elastic plates.” J. Appl. Mech.JAMCAV, 12(2), 69–76.
Reissner, E. (1986). “On a mixed variational theorem and on shear deformable plate theory.” Int. J. Numer. Methods Eng.IJNMBH, 23(2), 193–198.
Sih, G. C., and Skudra, A. M. (1985). Failure mechanics of composites, Elsevier Science, New York.
Soden, P. D., Hinton, M. J., and Kaddour, A. S. (1998). “A comparison of the predictive capabilities of current failure theories for composite laminates.” Compos. Sci. Technol.CSTCEH, 58(7), 1225–1254.
Soni, S. R. (1983). “A new look at commonly used failure theories in composite laminates.” 24th Int. Conf. on Structures and Structures Dynamics and Materials, AIAA/ASME, ASCE/AHS.
Spottswood, S. M., and Palazotto, A. N. (2001). “Progressive failure analysis of a composite shell.” Compos. Struct.COMSE2, 53(1), 117–131.
Tsai, S. W., and Wu, E. M. (1971). “A general theory of strength for anisotropic materials.” J. Compos. Mater.JCOMBI, 5(1), 58–80.
Turvey, G. J. (1980a). “Flexural failure analysis of angle-ply laminates of GFRP and CFRP.” J. Strain Analysis Eng. Des.JSADDZ, 15(1), 43–49.
Zahari, R., and El-Zafrany, A. (2009). “Progressive failure analysis of composite laminated stiffened plates using the finite strip method.” Compos. Struct.COMSE2, 87(1), 63–70.
Zhang, Z., Chena, H., and Yeb, L. (2008). “Progressive failure analysis for advanced grid stiffened composite plates/shells.” Compos. Struct.COMSE2, 86(1–3), 45–54.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 138 • Issue 5 • May 2012
Pages: 458 - 467
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Sep 20, 2010
Accepted: Nov 21, 2011
Published online: Nov 23, 2011
Published in print: May 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.