DOI QR코드

DOI QR Code

Cylindrical bending of laminated cylindrical shells using a modified zig-zag theory

  • Icardi, Ugo (Politecnico di Torino, Dipartimento di Ingegneria Aeronautica e spaziale Corso Duca degli Abruzzi)
  • 발행 : 1998.07.25

초록

A relatively simple two-dimensional multilayered shell model is presented for predicting both global quantities and stress distributions across the thickness of multilayered thick shells, that is based on a third-order zig-zag approach. As for any zig-zag model, the layerwise kinematics is accounted for, with the stress continuity conditions at interfaces met a priori. Moreover, the shell model satisfies the zero transverse shear stress conditions at the upper and lower free surfaces of the shell, irrespective of the lay-up. By changing the parameters in the displacement model, some higher order shell models are obtained as particular cases. Although it potentially has a wide range of validity, application is limited to cylindrical shell panels in cylindrical bending, a lot of solutions of two-dimensional models based on rather different simplyfying assumptions and the exact three-dimensional elasticity solution being available for comparisons for this benchmark problem. The numerical investigation performed by the present shell model and by the shell models derived from it illustrates the effects of transverse shear modeling and the range of applicability of the simplyfying assumptions introduced. The implications of retaining only selected terms depending on the radius-to-thickness ratio are focused by comparing the present solutions to the exact one and to other two-dimensional solutions in literature based on rather different simplyfying assumptions.

키워드

참고문헌

  1. Barbero, E.J. and Reddy, J.N. (1990)," General two-dimensional theory of laminated cylindrical shells", AIAA Jnl., 28, 5544-5553.
  2. Bhaskar, K. and Varadan, T.K. (1989), "Refinement of higher-order laminated plate theories", AIAA Jnl., 27, 1830-1831. https://doi.org/10.2514/3.10345
  3. Cho, M. and Parmerter, R. (1993), "Efficient higher order composite plate theory for general lamination configurations", AIAA Jnl., 31, 1299-1306. https://doi.org/10.2514/3.11767
  4. Dennis, S.T. and Palazotto, A.N. (1991), "Laminated shell in cylindrical bending, two-dimensional approach vs exact", AIAA Jnl., 29, 647-650. https://doi.org/10.2514/3.10634
  5. Di Sciuva, M. (1986), "Bending, vibration and buckling of simply-supported thick multilayered orthotropic plates. An evaluation of a new displacement model", Jnl of Sound and Vibr., 105, 425-442. https://doi.org/10.1016/0022-460X(86)90169-0
  6. Di Sciuva, M. (1987), "An improved shear-deformation theory for moderately thick anisotropic shells and plates", Jnl. Appl. Mech., 54, 589-596. https://doi.org/10.1115/1.3173074
  7. Di Sciuva, M. (1990), "Further refinement in the transverse shear deformation theory for multilayered composite plates", Atti Accademia delle Scienze di Torino-Classe di Scienze Fisiche, Matematichee Naturali.
  8. Di Sciuva, M. and Icardi, U. (1993), "Discrete-layer models for multilayered anisotropic shells accounting for the interlayers continuity conditions", Meccanica, 28, 281-291. https://doi.org/10.1007/BF00987164
  9. Di Sciuva, M. and Icardi, U. (1995), "A geometrically nonlinear theory of composite plates with induced-strain actuators", Proc. XIII A.I.D.A.A. Congr., 309-318, Rome, Sept. 11-15.
  10. Di Sciuva, M. (1994), "A generalization of the zig-zag plate models to account for general lamination configurations", Atti Accademia delle Scienze di Torino-Classe di Scienze Fisiche, Matematiche e Naturali.
  11. Lee, K.H., Senthilnathan, N.R., Lim, S.P. and Chow, S.T. (1990), "An improved zig-zag model for the bending of laminated composite plates", Comp. Struct., 15, 137-148. https://doi.org/10.1016/0263-8223(90)90003-W
  12. Lee, K.H., Xavier, P.B. and Chew, C.H. (1993), "Static response of unsymmetric sandwich beam using an improved zig-zag model", Comp. Engng., 3, 235-248. https://doi.org/10.1016/0961-9526(93)90058-R
  13. Lee, C.Y. and Liu, D. (1991), "Interlaminar stress continuity theory for laminated composite analysis", AIAA Jnl., 29, 2010-2012. https://doi.org/10.2514/3.10833
  14. Lee, C.Y. and Liu, D. (1993), "Nonlinear analysis of composite plates using interlaminar shear stress continuity theory", Comp. Engng., 3, 151-168. https://doi.org/10.1016/0961-9526(93)90039-M
  15. Noor, A.K. and Burton, W.S. (1989), "Assessment of shear deformation theories for multilayered composite plates", Appl. Mech. Rev., 42(1), 1-13. https://doi.org/10.1115/1.3152418
  16. Noor, A.K. and Burton, W.S. (1990), "Assessment of shear deformation theories for multilayered composite shells", Appl. Mech. Rev., 43(4), 67-97. https://doi.org/10.1115/1.3119162
  17. Reddy, J.N. (1984), "Energy and variational methods in applied mechanics", Wiley.
  18. Reddy, J.N. and Liu, C.F. (1985), "A higher-order shear deformation theory of laminated elastic shells", Int. Jnl. Engng., 23, 319-330. https://doi.org/10.1016/0020-7225(85)90051-5
  19. Ren, J.G. (1987), "Exact solutions for laminated cylindrical shells in cylindrical bending", Comp. Sci. Technol., 29, 169-187. https://doi.org/10.1016/0266-3538(87)90069-8
  20. Voyiadjis, G.Z. and Shi, G.A. (1991), "A refined two-dimensional theory for thick cylindrical shells", Int. Jnl. of Solids Struct., 27, 261-282. https://doi.org/10.1016/0020-7683(91)90082-Q
  21. Varadan, T.K. and Bhaskar, K. (1991), "Bending of laminated orthotropic cylindrical shells-an elasticity approach", Comp. Struct., 17, 141-156. https://doi.org/10.1016/0263-8223(91)90067-9
  22. Xavier, P.B., Lee, K.H. and Chew, C.H. (1993), "An improved zig-zag model for the bending of lminated composite shells", Comp. Struct., 26, 123-138. https://doi.org/10.1016/0263-8223(93)90061-T

피인용 문헌

  1. Multilayered shell model with variable representation of displacements across the thickness vol.42, pp.1, 2011, https://doi.org/10.1016/j.compositesb.2010.09.022
  2. Investigation of supersonic flutter of thick doubly curved sandwich panels with CNT reinforced facesheets using higher-order structural theory vol.127, 2015, https://doi.org/10.1016/j.compstruct.2015.02.047
  3. Vibration analysis of laminated cross-ply oval cylindrical shells vol.262, pp.1, 2003, https://doi.org/10.1016/S0022-460X(02)01025-8
  4. A general nonlinear global-local theory for bending and buckling analyses of imperfect cylindrical laminated and sandwich shells under thermomechanical loads vol.47, pp.2, 2012, https://doi.org/10.1007/s11012-011-9438-9
  5. Response of sandwiches undergoing static and blast pulse loading with tailoring optimization and stitching vol.32, pp.1, 2014, https://doi.org/10.1016/j.ast.2013.11.001
  6. Three-dimensional nonlinear analysis of laminated cylindrical shells under cylindrical bending vol.24, pp.5, 2005, https://doi.org/10.1016/j.euromechsol.2005.04.006
  7. Interlaminar stresses in thick cylindrical shell with arbitrary laminations and boundary conditions under transverse loads vol.98, 2016, https://doi.org/10.1016/j.compositesb.2016.05.013
  8. A global-local higher order theory for multilayered shells and the analysis of laminated cylindrical shell panels vol.84, pp.4, 2008, https://doi.org/10.1016/j.compstruct.2007.10.006
  9. Non-linear dynamic thermo-mechanical buckling analysis of the imperfect laminated and sandwich cylindrical shells based on a global-local theory inherently suitable for non-linear analyses vol.46, pp.1, 2011, https://doi.org/10.1016/j.ijnonlinmec.2010.09.006
  10. An accurate double-superposition global–local theory for vibration and bending analyses of cylindrical composite and sandwich shells subjected to thermo-mechanical loads vol.225, pp.8, 2011, https://doi.org/10.1177/0954406211404742
  11. Nonlinear thermomechanical dynamic buckling analysis of imperfect viscoelastic composite/sandwich shells by a double-superposition global–local theory and various constitutive models vol.93, pp.11, 2011, https://doi.org/10.1016/j.compstruct.2011.05.021
  12. Laminated shell model with second-order expansion of the reciprocals of Lamé coefficients Hα,Hβ and interlayer continuities fulfilment vol.56, pp.3, 2002, https://doi.org/10.1016/S0263-8223(02)00014-4
  13. Development of an Efficient Zigzag Model with Variable Representation of Displacements across the Thickness vol.140, pp.3, 2014, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000673
  14. High-frequency response of isotropic-laminated cylindrical shells modeled by a layer-wise theory vol.42, pp.14, 2005, https://doi.org/10.1016/j.ijsolstr.2004.06.062
  15. Dynamic analysis of laminated cross-ply composite non-circular thick cylindrical shells using higher-order theory vol.39, pp.24, 2002, https://doi.org/10.1016/S0020-7683(02)00495-X
  16. Large bending actuator made with SMA contractile wires: theory, numerical simulation and experiments vol.32, pp.3, 2001, https://doi.org/10.1016/S1359-8368(00)00062-7
  17. Parametric instability of thick doubly curved CNT reinforced composite sandwich panels under in-plane periodic loads using higher-order shear deformation theory vol.24, pp.10, 2018, https://doi.org/10.1177/1077546316672973
  18. Study the effect of machining process and Nano Sio2 on GFRP mechanical performances vol.76, pp.2, 2020, https://doi.org/10.12989/sem.2020.76.2.175