Efficient Failure Analysis of Laminated Composites and Sandwich Cylindrical Shells Based on Higher-Order Zigzag Theory
Publication: Journal of Aerospace Engineering
Volume 28, Issue 4
Abstract
An efficient failure analysis of laminated composite and sandwich cylindrical shell is done for the first time using an efficient finite-element (FE) model based on higher-order zigzag theory (HOZT). The FE implementation based on HOZT to study the failure of composite and sandwich shells incorporating all three radii of curvature is presented. The proposed two-dimensional (2D) FE model satisfies the interlaminar shear stress continuity at the layer interfaces and also ensures zero transverse shear stress conditions at the shell top and bottom. The problem of continuity associated with the HOZT is circumvented by using an appropriate FE formulation. The piecewise parabolic shear stress variation across thickness of each layer is considered and hence, shear deformation is accurately modeled for composites and sandwich shells. The failure load results for laminated composite and sandwich shells obtained by using the present 2D FE model are quite close to the 3D elasticity results. Many new results are presented by varying different parameters which should be useful for future research.
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References
Akhras, G., and Li, W. (2007). “Progressive failure analysis of thick rectangular bidirectional composite plates using the spline finite strip method.” Compos. Struct., 79(1), 34–43.
Ambartsumyan, S. A. (1961). “Theory of anisotropic shells.”, National Aeronautics and Space Administration (NASA), Washington, DC.
Ambartsumyan, S. A. (1970). “A new refined theory of anisotropic shells.” Inst. Math. Mech., Acad. Sci. Arm. SSR, Ere. Transl. Mekh. Polim., 6(5), 884–896.
Bathe, K. (1996). Finite element procedure, Prentice Hall, NJ.
Brischetto, S., Polit, O., and Carrera, E. (2012). “Refined shell model for the linear analysis of isotropic and composite structures.” Eur. J. Mech. A. Solids, 34, 102–119.
Carrera, E. (2002). “Theories and finite elements for multilayered, anisotropic, composite plates and shells.” Arch. Comput. Meth. Eng., 9(2), 87–140.
Carrera, E. (2003a). “Historical review of zig-zag theories for multilayered plates and shells.” Appl. Mech. Rev., 56(3), 287–309.
Carrera, E. (2003b). “Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking.” Arch. Comput. Meth. Eng., 10(3), 215–296.
Carrera, E., Cinefra, M., and Nali, P. (2010). “MITC technique extended to variable kinematic multilayered plate elements.” Compos. Struct., 92(8), 1888–1895.
Carrera, E., and Ciuffreda, A. (2005). “A unified formulation to assess theories of multilayered plates for various bending problems.” Compos. Struct., 69(3), 271–293.
Cheung, M. S., Akhras, G., and Li, W. (1995). “Progressive failure analysis of composite plates by the finite strip method.” Comput. Method Appl. Mech. Eng., 124(1–2), 49–61.
Cho, M., and Parmerter, R. (1993). “Efficient higher order plate theory for general lamination configurations.” AIAA J., 31(11), 1299–1308.
Cho, M., and Yoon, J. (1997). “First-ply flexural failure analysis of symmetric cross-ply laminates by the postprocess method.” Compos. Struct., 40(2), 115–127.
Cinefra, M., and Carrera, E. (2013). “Shell finite elements with different through-the-thickness kinematics for the linear analysis of cylindrical multilayered structures.” Int. J. Numer. Methods Eng., 93(2), 160–182.
Cinefra, M., Carrera, E., Croce Della, L., and Chinosi, C. (2012). “Refined shell elements for the analysis of functionally graded structures.” Compos. Struct., 94(2), 415–422.
Demasi, L. (2013). “Partially layerwise advanced zigzag and HSDT models based on the generalized unified formulation.” Eng. Struct., 53, 63–91.
Differential Quadrature for Mechanics of Anisotropic Shells, Plates, Arches and Beams (DiQuMASPAB) version 1 [Computer software]. DICAM Dept., Alma Mater Studiorum, Univ. of Bologna, Italy.
Hashin, Z. (1980). “Failure criteria for unidirectional fiber composites.” J. Appl. Mech., 47(2), 329–334.
Hill, R. (1948). “A theory of the yielding and plastic flow of anisotropic metals.” Proc., R. Soc. London, Ser. A, Math. Phys. Sci., 193(1033), 281–297.
Hoffman, O. (1967). “The brittle strength of orthotropic materials.” J. Compos. Mater., 1(2), 200–206.
Huang, N. N. (1994). “Influence of shear correction factors in the higher-order shear deformation laminated shell theory.” Int. J. Solids Struct., 31(9), 1227–1263.
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., 33(3), 375–398.
Kelly, G., and Hallstrom, S. (2005). “Strength and failure mechanism of composite laminates subject to localised transverse loading.” Compos. Struct., 69(3), 301–314.
Kumar, A., Chakrabarti, A., and Bhargava, P. (2013a). “Finite element analysis of laminated composite and sandwich shells using higher order zigzag theory.” Compos. Struct., 106, 270–281.
Kumar, A., Chakrabarti, A., and Bhargava, P. (2013b). “Vibration of laminated composites and sandwich shells based on higher order zigzag theory.” Eng. Struct., 56, 880–888.
Kumar, A., Chakrabarti, A., and Bhargava, P. (2014). “Accurate dynamic response of laminated composites and sandwich shells using higher order zigzag theory.” Thin-Walled Struct., 77, 174–186.
Lee, J. D. (1982). “Three dimensional finite element analysis of damage accumulation in composite laminate.” Comput. Struct., 15(3), 335–350.
Mohite, P., and Upadhyay, C. (2006). “Accurate computation of critical local quantities in composite laminated plates under transverse loading.” Comput. Struct., 84(10–11), 657–675.
Noor, A. K., and Burton, W. C. (1990). “Three dimensional solutions for antisymmetrically laminated anisotropic plates.” Trans. ASME, J. Appl. Mech., 57(1), 182–188.
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., 40(3–4), 277–291.
Pagano, N. J. (1970). “Exact solutions for rectangular bidirectional composites and sandwich plates.” J. Compos. Mater., 4(1), 20–34.
Pervez, T., Seibi, A. C., and Al-Jahwari, F. K. S. (2005). “Analysis of thick orthotropic laminated composite plates based on higher-order shear deformation theory.” Compos. Struct., 71(3–4), 414–422.
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 nonlinearity.” Technical Rep., National Aeronautics and Space Administration (NASA), Washington, DC.
Puck, A. (1996). Strength analysis of fibre-matrix laminates: Models for practice, Carl Hanser, 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., 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., 62(12–13), 1633–1662.
Reddy, J. N. (1984). “A simple higher-order theory for laminated composites.” Trans. ASME, J. Appl. Mech., 51(4), 745–752.
Reddy, J. N., and Pandey, A. K. (1987). “A first-ply failure analysis of composites laminates.” Comput. Struct., 25(3), 371–393.
Reddy, Y. S. N., and Reddy, J. N. (1992). “Linear and nonlinear failure analysis of composite laminates with transverse shear.” Compos. Sci. Technol., 44(3), 227–255.
Sheikh, A. H., and Chakrabarti, A. (2003). “A new plate bending element based on higher order shear deformation theory for the analysis of composite plates.” Finite Elem. Anal. Des., 39(9), 883–903.
Shu, X. P. (1996). “An improved simple higher-order theory for laminated composite shells.” Comput. Struct., 60(3), 343–350.
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., 58(7), 1225–1254.
Spottswood, S. M., and Palazotto, A. N. (2001). “Progressive failure analysis of a composite shell.” Compos. Struct., 53(1), 117–131.
Tsai, S. W., and Wu, E. M. (1971). “A general theory of strength for anisotropic materials.” J. Compos. Mater., 5(1), 58–80.
Turvey, G. J. (1980a). “Flexural failure analysis of angle-ply laminates of GFRP and CFRP.” J. Strain Anal. Eng., 15(1), 43–49.
Williams, T. O. (1999). “A generalized multilength scale nonlinear composite plate theory with delamination.” Int. J. Solids Struct., 36(20), 3015–3050.
Williams, T. O. (2005). “A generalized, multilength scale framework for thermo-diffusional-mechanically coupled, nonlinear, laminated plate theories with delaminations.” Int. J. Solids Struct., 42(5–6), 1465–1490.
Williams, T. O. (2008). “A new theoretical framework for the formulation of general, nonlinear, multi-scale plate theories.” Int. J. Solids Struct., 45(9), 2534–2560.
Zhang, Z., Chena, H., and Yeb, L. (2008). “Progressive failure analysis for advanced grid stiffened composite plates/shells.” Compos. Struct., 86(1–3), 45–54.
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Published In
Journal of Aerospace Engineering
Volume 28 • Issue 4 • July 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 13, 2013
Accepted: May 6, 2014
Published online: Aug 4, 2014
Discussion open until: Jan 4, 2015
Published in print: Jul 1, 2015
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