Research article Topical Sections

A study on the behavior of laminated and sandwich composite plates using a layerwise theory

  • Received: 30 July 2016 Accepted: 07 November 2016 Published: 22 November 2016
  • The numerical study of structures constituted from composite materials, regardless the underlying shear deformation theory used may be framed into an equivalent single-layer or a layerwise methodology. The adoption of one of these approaches is mainly ruled by the detail one needs to put in the description of the deformation kinematics and on the subsequent description of other relevant quantities such as stresses or frequencies. Being important to address both qualitative and quantitatively the influence of different parameters involved in the models and materials used to represent a structure, it is also relevant to understand how layerwise theories can predict its static and dynamic response. These different issues may be addressed by carrying out parametric studies to characterize the influence of specific parameters on the mechanical performance of sandwich and laminated composite plates. To this purpose a layerwise theory based on the first order shear deformation theory, is considered, and a set of different test cases are analyzed in light of this approach, providing results which may also be useful for later comparison purposes.

    Citation: M.A.S. Venâncio, M.A.R. Loja. A study on the behavior of laminated and sandwich composite plates using a layerwise theory[J]. AIMS Materials Science, 2016, 3(4): 1587-1614. doi: 10.3934/matersci.2016.4.1587

    Related Papers:

  • The numerical study of structures constituted from composite materials, regardless the underlying shear deformation theory used may be framed into an equivalent single-layer or a layerwise methodology. The adoption of one of these approaches is mainly ruled by the detail one needs to put in the description of the deformation kinematics and on the subsequent description of other relevant quantities such as stresses or frequencies. Being important to address both qualitative and quantitatively the influence of different parameters involved in the models and materials used to represent a structure, it is also relevant to understand how layerwise theories can predict its static and dynamic response. These different issues may be addressed by carrying out parametric studies to characterize the influence of specific parameters on the mechanical performance of sandwich and laminated composite plates. To this purpose a layerwise theory based on the first order shear deformation theory, is considered, and a set of different test cases are analyzed in light of this approach, providing results which may also be useful for later comparison purposes.


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    [1] Reissner E (1972) A Consistent Treatment of Transverse Shear Deformations in Laminated Anisotropic Plates. AIAA J 10: 716–718.
    [2] Whitney JM (1969) The Effect of Transverse Shear Deformation on the Bending of Laminated Plates. J Compos Mater 3: 534–547. doi: 10.1177/002199836900300316
    [3] Lo KH, Christensen RM, Wu EM (1977) A High-Order Theory of Plate Deformation—Part 2: Laminated Plates. J Appl Mech 44: 669–676. doi: 10.1115/1.3424155
    [4] Pandya BN, Kant T (1988) Higher-order shear deformable theories for flexure of sandwich plates —Finite element evaluations. Int J Solids Struct 24: 1267–1286. doi: 10.1016/0020-7683(88)90090-X
    [5] Bernardo GMS, Damásio FR, Silva TAN, et al. (2016) A Study on the Structural Behaviour of FGM Plates: Static and Free Vibrations Analyses. Compos Struct 136: 124–138. doi: 10.1016/j.compstruct.2015.09.027
    [6] Loja MAR, Barbosa JI, Soares CMM (2015) Analysis of Sandwich Beam Structures Using Kriging Based Higher Order Models. Compos Struct 119: 99–106. doi: 10.1016/j.compstruct.2014.08.019
    [7] Viola E, Tornabene F, Fantuzzi N (2013) General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels. Compos Struct 95: 639–666. doi: 10.1016/j.compstruct.2012.08.005
    [8] Reddy JN (1984) A refined nonlinear theory of plates with transverse shear deformation. Int J Solids Struct 20: 881–896. doi: 10.1016/0020-7683(84)90056-8
    [9] Ferreira AJM, Barbosa JT (2000) Buckling behaviour of composite shells. Compos Struct 50: 93–98. doi: 10.1016/S0263-8223(00)00090-8
    [10] Dehkordi MB, Khalili SMR, Carrera E (2016) Non-linear transient dynamic analysis of sandwich plate with composite face-sheets embedded with shape memory alloy wires and flexible core-based on the mixed LW (layer-wise)/ESL (equivalent single layer) models. Compos Part B-Eng 87: 59–74. doi: 10.1016/j.compositesb.2015.10.008
    [11] Thai HC, Nguyen-Xuan H, Bordas S, et al. (2015) Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory. Mech Adv Mater Struct 22: 451–469. doi: 10.1080/15376494.2013.779050
    [12] Thai CH, Ferreira AJM, Bordas S, et al. (2014) Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. Eur J Mech A-Solid 43: 89–108. doi: 10.1016/j.euromechsol.2013.09.001
    [13] Thai CH, Nguyen-Xuan H, Nguyen-Thanh N, et al. (2012) Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach. Int J Numer Meth Eng 91: 571–603. doi: 10.1002/nme.4282
    [14] Thai-Hoang C, Nguyen-Thanh N, Nguyen-Xuan H, et al. (2011) An alternative alpha finite element method with discrete shear gap technique for analysis of laminated composite plates. Appl Math Comput 217: 7324–7348.
    [15] Thai CH, Ferreira AJM, Carrera E, et al. (2013) Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory. Compos Struct 10: 196–214.
    [16] Carrera E (2003) Historical review of Zig-Zag theories for multilayered plates and shells. Appl Mech Rev 56: 287–308. doi: 10.1115/1.1557614
    [17] Carrera E (2003) Theories and Finite Elements for Multilayered Plates and Shells: A Unified compact formulation with numerical assessment and benchmarking. Arch Comput Method E 10: 215–296.
    [18] Demasi L, Yu W (2013) Assess the Accuracy of the Variational Asymptotic Plate and Shell Analysis (VAPAS) Using the Generalized Unified Formulation (GUF). Mech Adv Mater Struct 20: 227–241. doi: 10.1080/15376494.2011.584150
    [19] Filippi M, Carrera E (2016) Bending and vibrations analyses of laminated beams by using a zig-zag-layer-wise theory. Compos Part B-Eng 98: 269–280. doi: 10.1016/j.compositesb.2016.04.050
    [20] Ferreira AJM (2005) Analysis of Composite Plates Using a Layerwise Theory and Multiquadrics Discretization. Mech Adv Mater Struct 12: 99–112. doi: 10.1080/15376490490493952
    [21] Vuksanović D, Ćetković M (2005) Analytical solution for multilayer plates using general layerwise plate theory. Facta Universitatis Series: Arch Civil Eng 3: 121–136. doi: 10.2298/FUACE0502121V
    [22] Nosier A, Kapania RK, Reddy JN (1993) Free vibration analysis of laminated plates using a layerwise theory. AIAA J 31: 2335–2346. doi: 10.2514/3.11933
    [23] Sainsbury MG, Zhang QJ (1999) The Galerkin element method applied to the vibration of damped sandwich beams. Comput Struct 71: 239–256. doi: 10.1016/S0045-7949(98)00242-9
    [24] Daya EM, Potier-Ferry M (2001) A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures. Comput Struct 79: 533–541. doi: 10.1016/S0045-7949(00)00151-6
    [25] Barkanov E, Skukis E, Petitjean B (2009) Characterisation of viscoelastic layers in sandwich panels via an inverse technique. J Sound Vib 327: 402–412. doi: 10.1016/j.jsv.2009.07.011
    [26] Araújo AL, Soares CMM, Soares CAM, et al. (2010) Optimal design and parameter estimation of frequency dependent viscoelastic laminated sandwich composite plates. Compos Struct 92: 2321–2327. doi: 10.1016/j.compstruct.2009.07.006
    [27] Ferreira AJM, Fasshauer GE, Batra RC, et al. (2008) Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter. Compos Struct 86: 328–343. doi: 10.1016/j.compstruct.2008.07.025
    [28] Ferreira AJM, Viola E, Tornabene F, et al. (2013) Analysis of sandwich plates by generalized differential quadrature method. Math Probl Eng 964367: 12.
    [29] Reddy JN (1997) Mechanics of laminated composite plates. Boca Raton, Florida, USA: CRC Press.
    [30] DivinycellH Technical Data. Diab International AB, 252 21 Helsingborg, Sweden 2016. Available from: http://www.diabgroup.com/en-GB/Products-and-services#.
    [31] Srinivas S (1973) A refined analysis of composite laminates. J Sound Vib 30: 495–507. doi: 10.1016/S0022-460X(73)80170-1
    [32] Ferreira AJM (2010) Problemas de Elementos Finitos. Lisboa, Portugal: Fundação Calouste Gulbenkian.
    [33] Liew KM, Huang YQ, Reddy JN (2003) Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Comput Method Appl M 192: 2203–2222. doi: 10.1016/S0045-7825(03)00238-X
    [34] Khdeir AA, Librescu L (1988) Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory: part II—Buckling and free vibration. Compos Struct 9: 259–277. doi: 10.1016/0263-8223(88)90048-7
    [35] Srinivas S, Rao CVJ, Rao AK (1970) An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates. J Sound Vib 12: 187–199. doi: 10.1016/0022-460X(70)90089-1
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