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Abstract
A thorough study of the behaviour of shear deformable plate bending finite elements is carried out to investigate their performance when applied to static and free vibration analyses of Iaminated composite plates. 4-noded, 8-noded and 9-noded quadrilateral isoparametricfinite elements based on first-order shear deformation theory and a 4-noded element based on higher-order shear deformation theory are considered. The numerical results indicating the effect of order of integration on the accuracy of the results and convergence of transverse displacements and stresses are presented. The resuLts indicate that a 4-noded element with seven degrees offreedom per node based on higher-order shear deformation theory is required to predict the deflection as well as the stresses accurately and a I 6x I 6 mesh division for full plate is necessary for obtaining converged resuLts. For the case offree vibration analysis, the element based onfirst-order shear deformation theory is found to be sufficient.
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References
- Sivakumaran, K.S., et al., "Some Studies on Finite Elements for Laminated Composite Plates", Computers and Structures, Vol. 52, No.4, 1994, pp.729741.
- Ghosh, A.K. and Dey, S.S., "A Simple Finite Element for the Analysis of Laminated Plates", Computers and Structures, Yo1.44, No.3, 1992, pp.585-596.
- Kant,T, andPandya, 8.N., A Simple Finite Element Folmulation of a Higher-order Theory for Unsymmetrically Laminated Composite Plates", Composite Structures. Vol. 9, 1988, pp. 215-246.
- Ghosh, A.K. and Dey, S.S., "Free Vibration of Laminated Composite Plates - A Simple Finite Element Based on Higher-order Theory", Computers and Structures, Vol. 52, No.3, 1994, pp.397-404.
- Kant, T. and Mallikarjuna, "A Higher-order Theory for Free Vibration of Unsvmmetlically Laminated Composite and Sandwich Plates - Finite Element E,valuations", Computers and Structures, Vol. 32, No.5, 1989, pp. 1125-1132.
- Averill, R.C. and Reddy, J.N., "Behaviour of Plate Elements Based on the Filst-older Shear Deformation Theory", Engineering Computations, Vol. 7, No.3, 1990, pp.57-74.
- Rock, T. and Hinton, 8., "Free Vibration and Transient Response of Thick and Thin Plates Using the Finite Element Method", Earthquake Engineering and Structural Dynamics, Vol. 3, 1974, pp. 5l-63.
- Jones, R. M., "Mechanics of Composite Materials", McGlaw Hill, New York, 1975.
- Robert D. Cook, et al. "Concepts and Applications of Finite Element Analysis", 3'o Edition, John Wilcy and Sons, 1989.
- Reddy, J. N., "A Simple Higher-order Theory for Laminated Composite Plates", Journal of Applied Mechanics, Vol. 5 l, 1984, pp. 7 45-1 52.
- Pagano, N .J. and Hatfield, S.J., "Elastic Behaviour of Multilayered Bi-directional Composites", AIAA Journal, Vol. 10, No.7, 1912, pp. 931-933.
- Bathe, K.J., "Frnite Element Procedures", Prentice Hall of India, New Delhi, 1996.
- Khdeir, A.A., "Free Vibration and Buckling of Symmetric Cross-ply Laminated Plates by an Exact Method'', Journal of Sound and Viblation, Vol. 126, No.3, 1988, pp.447 -461.
- Noor, A.K., "Free Vibrations of Multilayered Composite Plates", AIAA Journal, Vol. 11, No.7, 1973, pp.1038-1039.
References
Sivakumaran, K.S., et al., "Some Studies on Finite Elements for Laminated Composite Plates", Computers and Structures, Vol. 52, No.4, 1994, pp.729741.
Ghosh, A.K. and Dey, S.S., "A Simple Finite Element for the Analysis of Laminated Plates", Computers and Structures, Yo1.44, No.3, 1992, pp.585-596.
Kant,T, andPandya, 8.N., A Simple Finite Element Folmulation of a Higher-order Theory for Unsymmetrically Laminated Composite Plates", Composite Structures. Vol. 9, 1988, pp. 215-246.
Ghosh, A.K. and Dey, S.S., "Free Vibration of Laminated Composite Plates - A Simple Finite Element Based on Higher-order Theory", Computers and Structures, Vol. 52, No.3, 1994, pp.397-404.
Kant, T. and Mallikarjuna, "A Higher-order Theory for Free Vibration of Unsvmmetlically Laminated Composite and Sandwich Plates - Finite Element E,valuations", Computers and Structures, Vol. 32, No.5, 1989, pp. 1125-1132.
Averill, R.C. and Reddy, J.N., "Behaviour of Plate Elements Based on the Filst-older Shear Deformation Theory", Engineering Computations, Vol. 7, No.3, 1990, pp.57-74.
Rock, T. and Hinton, 8., "Free Vibration and Transient Response of Thick and Thin Plates Using the Finite Element Method", Earthquake Engineering and Structural Dynamics, Vol. 3, 1974, pp. 5l-63.
Jones, R. M., "Mechanics of Composite Materials", McGlaw Hill, New York, 1975.
Robert D. Cook, et al. "Concepts and Applications of Finite Element Analysis", 3'o Edition, John Wilcy and Sons, 1989.
Reddy, J. N., "A Simple Higher-order Theory for Laminated Composite Plates", Journal of Applied Mechanics, Vol. 5 l, 1984, pp. 7 45-1 52.
Pagano, N .J. and Hatfield, S.J., "Elastic Behaviour of Multilayered Bi-directional Composites", AIAA Journal, Vol. 10, No.7, 1912, pp. 931-933.
Bathe, K.J., "Frnite Element Procedures", Prentice Hall of India, New Delhi, 1996.
Khdeir, A.A., "Free Vibration and Buckling of Symmetric Cross-ply Laminated Plates by an Exact Method'', Journal of Sound and Viblation, Vol. 126, No.3, 1988, pp.447 -461.
Noor, A.K., "Free Vibrations of Multilayered Composite Plates", AIAA Journal, Vol. 11, No.7, 1973, pp.1038-1039.