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A new mixed-field theory for bending and vibration analysis of multi-layered composite plate

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A novel mixed-field theory with relatively low number of unknown variables is introduced for bending and vibration analysis of multi-layered composite plates. The presented plate theory is derived from a parametrized mixed variational principle which is introduced recently by the first author. A global-local kinematic with a layer-independent number of variables is assumed for the description of the displacements of the plate. The considered kinematic stratifies the displacement and transverse stress continuity conditions at the mutual interfaces of the layers. It also fulfill the homogenous boundary conditions of the shear stresses on the upper/lower surfaces of the plates without using the shear correction factor. One-unknown variable fields which satisfy a priori the continuity conditions at the adjacent interfaces between layers and the zero boundary conditions on the bounding surfaces are considered for the approximation of the transverse shear stresses. The transverse normal stress along the total thickness of the multi-layered plate is approximated via a quadratic polynomial. The presented mixed-field plate theory has been validated through comparison of the bending and vibration analysis results with those obtained from the three-dimensional (3D) theory of elasticity and the results of the other classical and high-order plate theories.
Rocznik
Strony
818--832
Opis fizyczny
Bibliogr. 35 poz., rys., tab., wykr.
Twórcy
  • Faculty of Civil Engineering, Hakim Sabzevari University, Sabzevar 9617976487-397, Iran
  • Faculty of Civil Engineering, Hakim Sabzevari University, Sabzevar 9617976487-397, Iran
Bibliografia
  • [1] N.J. Pagano, Exact solutions for rectangular bidirectional composites and sandwich plates, J. Compos. Mater. 4 (1970) 20–34.
  • [2] A.K. Noor, Free vibrations of multilayered composite plates, Am. Inst. Aeronaut. Astronaut. J. 11 (1973) 1038–1039.
  • [3] N.J. Pagano, S.J. Hatfield, Elastic behavior of multilayered bidirectional composites, Am. Inst. Aeronaut. Astronaut. J. 10 (1972) 931–933.
  • [4] A.K. Noor, Free vibrations of multilayered composite plates, Am. Inst. Aeronaut. Astronaut. 11 (1973) 1038–1109.
  • [5] M. Lezgy-Nazargah, A three-dimensional exact state-space solution for cylindrical bending of continuously non-homogenous piezoelectric laminated plates with arbitrary gradient composition, Arch. Mech. 67 (1) (2015) 25–51.
  • [6] C. Decolon, Analysis of Composite Structures, 1st ed., Elsevier, 2002.
  • [7] D.N. Arnold, A.L. Madureira, S. Zhang, On the range of applicability of the Reissner–Mindlin and Kirchhoff–Love plate bending models, J. Elast. Phys. Sci. Solids 67 (3) (2002) 171–185.
  • [8] J.N. Reddy, W.C. Chao, A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates, Nucl. Eng. 64 (1981) 153–167.
  • [9] K.M. Liew, Y.Q. Huang, J.N. Reddy, Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method, Comput. Methods Appl. Mech. Eng. 192 (2003) 2203–2222.
  • [10] A.J.M. Ferreira, G.E. Fasshauer, Computation of natural frequencies of shear de-formable beams and plates by an RBF-pseudospectral method, Comput. Methods Appl. Mech. Eng. 196 (2006) 134–146.
  • [11] A.J.M. Ferreira, L.M.S. Castro, S. Bertoluzza, A high order collocation method for the static and vibration analysis of composite plates using a first-order theory, Compos. Struct. 89 (2009) 424–432.
  • [12] M.M. Alipour, An analytical approach for bending and stress analysis of cross/angle-ply laminated composite plates under arbitrary non-uniform loads and elastic foundations, Arch. Civil Mech. Eng. 16 (2) (2016) 193–210.
  • [13] J.N. Reddy, A simple higher-order theory for laminated composite plates, J. Appl. Mech. 51 (1984) 745–752.
  • [14] O. Polit, P. Vidal, M. D'Ottavio, Robust C0 high-order plate finite element for thin to very thick structures: mechanical and thermo-mechanical analysis, Int. J. Numer. Methods Eng. 40 (2012) 429–451.
  • [15] A.A. Khdeir, L. Librescu, Analysis of symmetric cross-ply elastic plates using a higher-order theory, part II: buckling and free vibration, Compos. Struct. 9 (1988) 259–277.
  • [16] J.N. Reddy, Mechanics of Laminated Composite Plates, Theory and Analysis, CRC Press, 1997.
  • [17] J.N. Reddy, D.H. Robbins Jr., Theories and computational models for composite laminates, Appl. Mech. Rev. 47 (1994) 147–169.
  • [18] H.H. Phan-Dao, C.H. Thai, J. Lee, H. Nguyen-Xuan, Analysis of laminated composite and sandwich plate structures using generalized layerwise HSDT and improved meshfree radial point interpolation method, Aerosp. Sci. Technol. 58 (2016) 641–660.
  • [19] M. Lezgy-Nazargah, S.B. Beheshti-Aval, Coupled refined layerwise theory for dynamic free and forced responses of piezoelectric laminated composite and sandwich beams, Meccanica 48 (6) (2013) 1479–1500.
  • [20] W. Zhen, C. Wanji, Free vibration of laminated composite and sandwich plates using global–local higher-order theory, J. Sound Vibration 298 (2006) 333–349.
  • [21] M. Shariyat, A generalized global–local high-order theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads, Int. J. Mech. Sci. 52 (2010) 495–514.
  • [22] S.B. Beheshti-Aval, M. Lezgy-Nazargah, A new coupled refined high-order global-local theory and finite elementmodel for electromechanical response of smart laminated/ sandwich beams, Arch. Appl. Mech. 82 (12) (2012) 1709–1752.
  • [23] R. Sahoo, B.N. Singh, A new trigonometric zigzag theory for buckling and free vibration analysis of laminated composite and sandwich plates, Compos. Struct. 117 (2014) 316–332.
  • [24] J.D. Rodrigues, C.M.C. Roque, A.J.M. Ferreira, E. Carrera, M. Cinefra, Radial basis functions–finite differences collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's zig-zag theory, Compos. Struct. 93 (2011) 1613–1620.
  • [25] E. Carrera, A priori vs. a posteriori evaluation of transverse stresses in multilayered orthotropic plates, Compos. Struct. 48 (2000) 245–260.
  • [26] E. Carrera, An assessment of mixed and classic theories on global and local response of multilayered orthotropic plates, Compos. Struct. 50 (2000) 183–198.
  • [27] S.S. Phoenix, B.N. Singh, S.K. Satsangi, Analysis of thermo-elastic plates based on Reissner's mixed variational theorem, Compos. Struct. 93 (2011) 590–598.
  • [28] A. Messina, Free vibrations of multilayered plates based on a mixed variational approach in conjunction with global piecewise-smooth functions, J. Sound Vibration 256 (1) (2002) 103–129.
  • [29] M. Lezgy-Nazargah, A high-performance parametrized mixed finite element model for bending and vibration analyses of thick plates, Acta Mech. 227 (12) (2016) 3429–3450.
  • [30] J.S. Kim, M. Cho, Enhanced first-order theory based on mixed formulation and transverse normal effect, Int. J. Solids Struct. 44 (2007) 1256–1276.
  • [31] E. Carrera, Theories and finite elements for multilayered, anisotropic, composite plates and shells, Arch. Comput. Methods Eng. 9 (2002) 87–140.
  • [32] X. Li, D. Liu, Generalized laminate theories based on double superposition hypothesis, Int. J. Numer. Methods Eng. 40 (1997) 1197–1212.
  • [33] R. Tanov, A. Tabiei, Adding transverse normal stresses to layered shell finite elements for the analysis of composite structures, Compos. Struct. 76 (2006) 338–344.
  • [34] M. Filippi, M. Petrolo, S. Valvano, E. Carrera, Analysis of laminated composites and sandwich structures by trigonometric, exponential and miscellaneous polynomials and a MITC9 plate element, Compos. Struct. 150 (15) (2016) 103–114.
  • [35] O. Polit, M. Touratier, A multilayered/sandwich triangular finite element applied to linear and nonlinear analysis, Compos. Struct. 58 (2002) 121–128.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b662c014-2d1a-4091-a147-3e7fb104ddb1
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