Structural Engineering and Mechanics

  • 제75권2호
  • /
  • Pages.247-269
  • /
  • 2020
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analysis of laminated composite plates based on different shear deformation plate theories

  • Tanzadeh, Hojat (Department of Civil and Transportation Engineering, University of Isfahan) ;
  • Amoushahi, Hossein (Department of Civil and Transportation Engineering, University of Isfahan)
  • 투고 : 2019.01.21
  • 심사 : 2020.02.21
  • 발행 : 2020.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

A finite strip formulation was developed for buckling and free vibration analysis of laminated composite plates based on different shear deformation plate theories. The different shear deformation theories such as Zigzag higher order, Refined Plate Theory (RPT) and other higher order plate theories by variation of transverse shear strains through plate thickness in the parabolic form, sine and exponential were adopted here. The two loaded opposite edges of the plate were assumed to be simply supported and remaining edges were assumed to have arbitrary boundary conditions. The polynomial shape functions are applied to assess the in-plane and out-of-plane deflection and rotation of the normal cross-section of plates in the transverse direction. The finite strip procedure based on the virtual work principle was applied to derive the stiffness, geometric and mass matrices. Numerical results were obtained based on various shear deformation plate theories to verify the proposed formulation. The effects of length to thickness ratios, modulus ratios, boundary conditions, the number of layers and fiber orientation of cross-ply and angle-ply laminates were determined. The additional results on the same effects in the interaction of biaxial in-plane loadings on the critical buckling load were determined as well.

키워드

참고문헌

  1. Amoushahi, H. (2018), "Time depended deformation and buckling of viscoelastic thick plates by a fully discretized finite strip method using Third order shear deformation theory", European J. Mech. A Solids, 68, 38-52. https://doi.org/10.1016/j.euromechsol.2017.11.003.
  2. Amoushahi, H. and Goodarzian, F. (2018), "Dynamic and buckling analysis of composite laminated plates with and without strip delamination under hygrothermal effects using finite strip method", Thin-Walled Struct., 131, 88-101. https://doi.org/10.1016/j.tws.2018.06.030.
  3. Amoushahi, H. and Lajevardi, M.M. (2018), "Buckling of functionally graded plates under thermal, axial, and shear in-plane loading using complex finite strip formulation", J. Thermal Stresses, 41(2), 182-203. https://doi.org/10.1080/01495739.2017.1389326.
  4. Akhras, G. and Li, W. (2007), "Spline finite strip analysis of composite plates based on higher-order zigzag composite plate theory", Compos. Struct., 78(1), 112-118. https://doi.org/10.1016/j.compstruct.2005.08.016.
  5. Aydogdu, Me. and Aksencer, T. (2018), "Buckling of cross-ply composite plates with linearly varying In-plane loads", Compos. Struct., 183, 221-231. https://doi.org/10.1016/j.compstruct.2017.02.085.
  6. Bouazza, M., Kenouza, Y., Benseddiq, N. and Zenkour, A.M. (2017), "A two-variable simplified nth-higher-order theory for free vibration behavior of laminated plates", Compos. Struct., 182, 533-541. https://doi.org/10.1016/j.compstruct.2017.09.041.
  7. Cheung, Y. K. (1968), Finite Strip Method in Structural Analysis, Pergamon Press, New York, NY, USA.
  8. Cho, M. and Parmerter, R. (1993), "Efficient higher order composite plate theory for general lamination configurations", AIAA J., 31(7), 1299-1306. https://doi.org/10.2514/3.11767.
  9. Fallah, N. and Delzendeh, M. (2018), "Free vibration analysis of laminated composite plates using meshless finite volume method", Eng. Anal. Boundary Elements, 88, 132-144. https://doi.org/10.1016/j.enganabound.2017.12.011.
  10. Hosseini-Hashemi, S., Khorshidi, K. and Amabili, M. (2008), "Exact solution for linear buckling of rectangular Mindlin plates", J. Sound Vib., 315(1), 318-342. https://doi.org/10.1016/j.jsv.2008.01.059.
  11. Karama, M., Afaq, K.S. and Mistou, S. (2003), "Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity", J. Solids Struct., 40(6), 1525-1546. https://doi.org/10.1016/S0020-7683(02)00647-9.
  12. Mechab, I. Mechab, B. and Benaissa, S. (2013) "Static and dynamic analysis of functionally graded plates using four-variable refined plate theory by the new function", Compos. Part B Eng., 45(1), 748-757. https://doi.org/10.1016/j.compositesb.2012.07.015.
  13. Raghu, P., Rajagopal, A. and Reddy, J.N. (2018), "Nonlocal nonlinear finite element analysis of composite plates using TSDT", Compos. Struct., 185, 38-50. https://doi.org/10.1016/j.compstruct.2017.10.075.
  14. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press, Florida, USA.
  15. Sayyad, A.S., Shinde, B.M. and Ghugal, Y.M. (2016), "Bending, vibration and buckling of laminated composite plates using a simple four variable plate theory", Latin American J. Solids Struct., 13(3), 516-535. http://dx.doi.org/10.1590/1679-78252241.
  16. Shimpi, R.P. (2002), "Refined plate theory and its variants", AIAA J., 40(1), 137-146. https://doi.org/10.2514/2.1622.
  17. Singh, D.B. and Singh, B.N. (2017), "New higher order shear deformation theories for free vibration and buckling analysis of laminated and braided composite plates", J. Mech. Sci., 131, 265-277. https://doi.org/10.1016/j.ijmecsci.2017.06.053.
  18. Sreehari, V.M., George, L.J. and Maiti, D.K. (2016), "Bending and buckling analysis of smart composite plates with and without internal flaw using an inverse hyperbolic shear deformation theory", Compos. Struct., 138, 64-74. https://doi.org/10.1016/j.compstruct.2015.11.045.
  19. Tanzadeh, H. and Amoushahi, H. (2018), "Buckling and free vibration analysis of piezoelectric laminated composite plates using various plate deformation theories", European J. Mech. A Solids, 74, 242-256. https://doi.org/10.1016/j.euromechsol.2018.11.013.
  20. Tran, L.V., Thai, C.H., Le, H.T., Gan, B.S., Lee, J. and Nguyen-Xuan, H. (2014), "Isogeometric analysis of laminated composite plates based on a four-variable refined plate theory", Eng. Analysis Boundary Elements, 47, 68-81. https://doi.org/10.1016/j.enganabound.2014.05.013.
  21. Touratier, M. (1991), "An efficient standard plate theory", J. Eng. Sci., 29(8), 901-916. https://doi.org/10.1016/0020-7225(91)90165-Y.
  22. Yang, W., and He, D. (2018), "Bending, free vibration and buckling analyses of anisotropic layered micro-plates based on a new size-dependent model", Compos. Struct., 189, 137-147. https://doi.org/10.1016/j.compstruct.2017.09.057.
  23. Zenkour, A.M. (2004), "Buckling of fiber-reinforced viscoelastic composite plates using various plate theories", J. Eng. Math., 50(1), 75-93. https://doi.org/10.1023/B:ENGI.0000042123.94111.35.

피인용 문헌

  1. Bending analysis of functionally graded plates using a new refined quasi-3D shear deformation theory and the concept of the neutral surface position vol.39, pp.1, 2021, https://doi.org/10.12989/scs.2021.39.1.051