Steel and Composite Structures

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Nonlinear flexural analysis of laminated composite flat panel under hygro-thermo-mechanical loading

  • Kar, Vishesh R. (Department of Mechanical Engineering, National Institute of Technology) ;
  • Mahapatra, Trupti R. (School of Mechanical Engineering, KIIT University) ;
  • Panda, Subrata K. (Department of Mechanical Engineering, National Institute of Technology)
  • Received : 2014.11.13
  • Accepted : 2015.04.02
  • Published : 2015.10.25
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Abstract

In this article, large amplitude bending behaviour of laminated composite flat panel under combined effect of moisture, temperature and mechanical loading is investigated. The laminated composite panel model has been developed mathematically by introducing the geometrical nonlinearity in Green-Lagrange sense in the framework of higher-order shear deformation theory. The present study includes the degraded composite material properties at elevated temperature and moisture concentration. In order to achieve any general case, all the nonlinear higher order terms have been included in the present formulation and the material property variations are introduced through the micromechanical model. The nonlinear governing equation is obtained using the variational principle and discretised using finite element steps. The convergence behaviour of the present numerical model has been checked. The present proposed model has been validated by comparing the responses with those available published results. Some new numerical examples have been solved to show the effect of various parameters on the bending behaviour of laminated composite flat panel under hygro-thermo-mechanical loading.

Keywords

References

  1. Baltacioglu, A.K., Civalek, O., Akgoz, B. and Demir, F. (2011), "Large deflection analysis of laminated composite plates resting on nonlinear elastic foundations by the method of discrete singular convolution", Int. J. Press. Vessels Piping", 88(8-9), 290-300. https://doi.org/10.1016/j.ijpvp.2011.06.004
  2. Chamis, C.C. (1987), "Simplified Composite Micromechanics Equations for Mechanical, Thermal and Moisture Related Properties, Engineers Guide to Composite Materials, ASM International; Materials Park, OH, USA.
  3. Chamis, C.C. and Sinclair, J.H. (1982), "Durability/life of fibre composites in hygro-thermo-mechanical environments", Proceedings of the Composite Materials: Testing and Design (6th Conference), ASTM, Phoenix, Arizona, May, Volume 787, pp. 498-512.
  4. Cook, R.D., Malkus, D.S., Plesha, M.E. and Witt, R.J. (2009), Concepts and Applications of Finite Element Analysis, (4th Edition), John Wiley & Sons Pvt. Ltd., Singapore.
  5. Hari Kishore, M.D.V., Singh, B.N. and Pandit, M.K. (2011), "Nonlinear static analysis of smart laminated composite plate", Aerosp. Sci. Technol., 15(3), 224-235. https://doi.org/10.1016/j.ast.2011.01.003
  6. Huang, X.L., Shen, H.S. and Zheng, J.J. (2004), "Nonlinear vibration and dynamic response of shear deformable laminated plates in hygrothermal environments", Compos. Sci. Technol., 64(10-11), 1419-1435. https://doi.org/10.1016/j.compscitech.2003.09.028
  7. Kumar, R. and Patil, H.S. (2013), "Hygrothermally induced nonlinear free vibration response of nonlinear elastically supported laminated composite plates with random system properties", Frontiers Aerosp. Eng., 2(2), 143-156.
  8. Kundu, C.K., Maiti, D.K and Sinha, P.K. (2007), "Nonlinear finite element analysis of laminated composite doubly curved shells in hygrothermal environment", J. Reinf. Plast. Comp., 26(14), 1461. https://doi.org/10.1177/0731684407079751
  9. Lal, A. Singh, B.N. and Anand, S. (2011), "Nonlinear bending response of laminated composite spherical shell panel with system randomness subjected to hygro-thermo-mechanical loading", Int. J. Mech. Sci., 53(10), 855-866. https://doi.org/10.1016/j.ijmecsci.2011.07.008
  10. Liu, C.F. and Huang, C.H. (1996), "Free vibration of composite laminated plates subjected to temperature changes", Comput. Struct., 60(1), 95-101. https://doi.org/10.1016/0045-7949(95)00358-4
  11. Lo, S.H., Zhen, W., Cheung, Y.K. and Wanji, C. (2010), "Hygrothermal effects on multilayered composite plates using a refined higher order theory", Compos. Struct., 92(3), 633-646. https://doi.org/10.1016/j.compstruct.2009.09.034
  12. Naidu, N.V.S. and Sinha, P.K. (2005), "Nonlinear finite element analysis of laminated composite shells in hygrothermal environments", Compos. Struct., 69(4), 387-395. https://doi.org/10.1016/j.compstruct.2004.07.019
  13. Panda, S.K. and Mahapatra, T.R. (2014), "Nonlinear finite element analysis of laminated composite spherical shell vibration under uniform thermal loading", Meccanica, 49(1), 191-213. https://doi.org/10.1007/s11012-013-9785-9
  14. Parhi, P.K., Bhattacharyya, S.K. and Sinha, P.K. (2001), "Hygrothermal effects on the dynamic behavior of multiple delaminated composite plates and shells", J. Sound Vib., 248(2), 195-214. https://doi.org/10.1006/jsvi.2000.3506
  15. Patel, B.P., Ganapathi, M. and Makhecha, D.P. (2002), "Hygrothermal effects on the structural behaviour of thick composite laminates using higher-order theory", Compos. Struct., 56(1), 25-34. https://doi.org/10.1016/S0263-8223(01)00182-9
  16. Qatu, M.S. (2004), Vibration of Laminated Shells and Plates, Academic Press, Oxford, UK.
  17. Reddy, J.N. (2004), Mechanics of Laminated Composite: Plates and Shells-Theory and Analysis, (2nd Edition), CRC press, Boca Raton, FL, USA.
  18. Sai Ram, K.S. and Sinha, P.K. (1991), "Hygrothermal effects on the bending characteristics of laminated composite plates", Comput. Struct., 40(4), 1009-1015. https://doi.org/10.1016/0045-7949(91)90332-G
  19. Sharma, A., Upadhyay, A.K. and Shukla, K.K. (2013), "Flexural response of doubly curved laminated composite shells", Sci. China Phys. Mech. Astron., 56(4), 812-817. https://doi.org/10.1007/s11433-013-5020-x
  20. Shen, H.S. (2002), "Hygrothermal effects on the nonlinear bending of shear deformable laminated plates", J. Eng. Mech., 128(4), 493-496. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:4(493)
  21. Shen, H.S, Zheng, J.J. and Huang, X.L. (2004), "The effects of hygrothermal conditions on the dynamic response of shear deformable laminated plates resting on elastic foundations", J. Reinf. Plast. Comp., 23(10), 1095. https://doi.org/10.1177/0731684404037038
  22. Sundaramoorthy, R., David, W. and Murray, M. (1973), "Incremental finite element matrices", J. Struct. Div., 99(12), 2423-2438.
  23. Szekrenyes, A. (2014), "Bending solution of third-order orthotropic Reddy plates with asymmetric interfacial crack", Int. J. Solid. Struct., 51(14), 2598-2619. https://doi.org/10.1016/j.ijsolstr.2014.03.027
  24. Upadhyay, P.C. and Lyons, J.S. (2000), "Effect of hygrothermal environment on the bending of PMC laminates under large deflection", J. Reinf. Plast. Comp., 19(6), 465. https://doi.org/10.1106/5TP7-CX5C-88RK-BJ4C
  25. Upadhyay, A.K., Pandey, R. and Shukla, K.K. (2010), "Nonlinear flexural response of laminated composite plates under hygro-thermo-mechanical loading", Commun. Nonlinear Sci. Numer. Simul., 15(9), 2634-2650. https://doi.org/10.1016/j.cnsns.2009.08.026
  26. Zenkour, A.M. (2012), "Hygrothermal effects on the bending of angle-ply composite plates using a sinusoidal theory", Compos. Struct., 94(12), 3685-3696 https://doi.org/10.1016/j.compstruct.2012.05.033
  27. Zenkour, A.M., Alam, M.N.M. and Radwan, A.F. (2014), "Effects of hygrothermal conditions on cross-ply laminated plates resting on elastic foundations", Arch. Civil Mech. Eng., 14(1), 144-159. https://doi.org/10.1016/j.acme.2013.07.008
  28. Zhang, Y.X. and Kim, K.S. (2006), "Geometrically nonlinear analysis of laminated composite plates by two new displacement-based quadrilateral plate elements", Compos. Struct., 72(3), 301-310. https://doi.org/10.1016/j.compstruct.2005.01.001
  29. Zhang, Y.X. and Yang, C.H. (2006), "A family of simple and robust finite elements for linear and geometrically nonlinear analysis of laminated composite plates", Compos. Struct., 75(1-4), 545-552. https://doi.org/10.1016/j.compstruct.2006.04.016

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