DOI QR코드

DOI QR Code

Response of dynamic interlaminar stresses in laminated plates under free vibration and thermal load

  • Zhu, S.Q. (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University) ;
  • Chen, X. (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University) ;
  • Wang, X. (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University)
  • 투고 : 2006.02.23
  • 심사 : 2006.10.11
  • 발행 : 2007.04.20

초록

The response histories and distribution of dynamic interlaminar stresses in composite laminated plates under free vibration and thermal load is studied based on a thermoelastodynamic differential equations. The stacking sequence of the laminated plates may be arbitrary. The temperature change is considered as a linear function of coordinates in planes of each layer. The dynamic mode of displacements is considered as triangle series. The in-plane stresses are calculated by using geometric equations and generalized Hooke's law. The interlaminar stresses are evaluated by integrating the 3-D equations of equilibrium, and utilizing given boundary conditions and continuity conditions of stresses between layers. The response histories and distribution of interlaminar stress under thermal load are presented for various vibration modes and stacking sequence. The theoretical analyses and results are of certain significance in practical engineering application.

키워드

참고문헌

  1. Adams, D.F. and Miller, A.K. (1977), 'Hygrothermal microstresses in a unidirectional composite exhibiting inelastic materials behavior', J. Comput. Mater., 11,285-299
  2. Babeshko, M.E. (1996), 'Numerical investigation of the plastic stresses-strain state of laminated shells in axisymmetric deformation processes with small-curvature trajectories and allowance for geometric nonlinearity', Int. Appl. Mech., 32, 646-655 https://doi.org/10.1007/BF02740763
  3. Bowles, D.E. and Tompkins, S.S. (1989), 'Prediction of coefficients of thermal expansion for unidirectional composites', J. Comput. Mater., 23, 370-381 https://doi.org/10.1177/002199838902300405
  4. Carvalho, A. and Guedes, S.C. (1996), 'Dynamic response of rectangular plates of composite materials subjected to impact loads', Comput. Struct., 34, 55-63 https://doi.org/10.1016/0263-8223(95)00131-X
  5. Cho, M. and Yoon, J.Y. (1999), 'Free-edge interlaminar stress analysis of composite laminates by extended Kantorovich method', AIAA J., 37, 656-660 https://doi.org/10.2514/2.768
  6. Chandrashekhara, K. and Bhimaraddi, A. (1994), Pergamon Press Inc. 'Thermal stress analysis of laminated doubly curved shells using a shear flexible finite element', Comput. Struct., 52, 1023-1030 https://doi.org/10.1016/0045-7949(94)90086-8
  7. Di, S. and Ramm, E.H. (1993), 'Hybrid stress formulation for higher-order theory of laminated shell analysis', Comput. Meth. Appl. Mech. Eng., 109,359-376 https://doi.org/10.1016/0045-7825(93)90087-E
  8. Ding, K.W. and Tang, L.M. (1999), 'Analytical solution of thermal stresses for closed laminated cylindrical shell of arbitrary thickness', Eng. Mech., 16, 1-5
  9. Ganapathy, S. and Rao, K.P. (1997), 'Interlaminar stresses in laminated composite plates', Comput. Struct., 38, 157-168 https://doi.org/10.1016/S0263-8223(97)00052-4
  10. Jane, K.C. and Hong, C.C. (2000), 'Interlaminar stresses of a rectangular laminated plate with simply supported edges subject to free vibration', Mech. Sci., 42, 2031-2039 https://doi.org/10.1016/S0020-7403(99)00066-1
  11. Makeev, A. and Armanios, E.A. (1994), 'Simple elasticity solution for predicting interlaminar stresses in laminated composites', J. Am. Helicopter Soc., 44, 94-100 https://doi.org/10.4050/JAHS.44.94
  12. Messina, A. and Soldatos, K.P. (2002), 'A general vibration model of angle-ply laminated plates that accounts for the continuity of interlaminar stresses', Inte. J. Solids Struct., 39, 617-635 https://doi.org/10.1016/S0020-7683(01)00169-X
  13. Reddy, J.N. (1996), Mechanics of Laminated Composite Plates, London
  14. Savchenko, V.G (1995), 'thermal stress state of laminated shells of revolution made of isotropic and linearly orthotropic materials', Int. Appl. Mech., 31, 249-258 https://doi.org/10.1007/BF00846770
  15. Tsai, S.W. and Hahn, H.T. (1980), 'Introduction to composite materials', Westport, CT: Technomic publishing CO
  16. Verijenko, V.E. and Tauchert, T.R. (1999), 'Refined theory laminated anisotropic shells for thermal stress problems', J. Therm. Stresses, 22, 75-100 https://doi.org/10.1080/014957399281066
  17. Wilfried, B., Peng, J.P. and Ptra, N. (1999), 'Interlaminar stresses at the free comers of a laminate', Comput. Struct.,45, 155-162 https://doi.org/10.1016/S0263-8223(99)00019-7
  18. Yong, Y.K. and Cho, Y. (1995), 'Pergamon Press Inc. Higher-order, partial hybrid stress, finite element formulation for laminated plate and shell analyses', Comput. Struct., 57, 817-827 https://doi.org/10.1016/0045-7949(95)00088-X
  19. Yuan, F.G. (1993), 'thermal stresses in thick laminated composite shells', Comput. Struct., 26, 63-75 https://doi.org/10.1016/0263-8223(93)90045-R
  20. Ye, J.Q. and Soldatos, K.P. (1996), 'Three-dimensional vibration of laminated composite plates and cylindrical panels with arbitrarily located lateral surfaces point supports', Int. J. Mech. Sci., 38, 271-281 https://doi.org/10.1016/0020-7403(95)00056-9
  21. Zhang, S.Y. and Liu, J.Q. (1992), 'Mechanics properties of composite material structures', Beijing Technology University Press

피인용 문헌

  1. A Galerkin Layerwise Formulation for three-dimensional stress analysis in long sandwich plates vol.24, pp.5, 2007, https://doi.org/10.12989/scs.2017.24.5.523