A New Rectangular Finite Element Formulation Based on Higher Order Displacement Theory for Thick and Thin Composite and Sandwich Plates

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References

[1] E. Reissner, “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,” Journal of Applied Mechanics, Transaction of American Society of Mechanical Engineers, Vol. 12, No. 2, 1945, pp. A66-A77.

[2] R. D. Mindlin, “Influence of Rotary Inertia and Shear on Flexural Motions of Isotropic Elastic Plates,” Journal of Applied Mechanics, Transaction of American Society of Mechanical Engineers, Vol. 18, No. 1, 1951, pp. 31-38.

[3] O. C. Zienkiewicz and R. L. Taylor, “The Finite Element Method,” McGraw-Hill, New York, 1989.

[4] S. P. Timoshenko and S. Winowsky-Krieger, “Theory of Plates and Shells,” 2nd Edition, McGraw-Hill, New York, 1959.

[5] J. M. Whitney, “The Effect of Transverse Shear Deformation on the Bending of Laminated Plates,” Journal of Composite Materials, Vol. 3, No. 3, 1969, pp. 534-547.
doi:10.1177/002199836900300316

[6] N. J. Pagano, “Exact Solutions for Composite Laminates in Cylindrical Bending,” Journal of Composite Materials, Vol. 3, No. 3, 1969, pp. 398-411.
doi:10.1177/002199836900300304

[7] N. J. Pagano, “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates,” Journal of Composite Materials, Vol. 4, No. 1, 1970, pp. 20-34.

[8] N. J. Pagano and S. J. Hatfield, “Elastic Behavior of Multilayered Bidirectional Composites,” AIAA Journal, Vol. 10, No. 7, 1972, pp. 931-933. doi:10.2514/3.50249

[9] A. L. Dobyns, “Analysis of Simply Supported Orthotropic Plates Subjected to Static and Dynamic Loads,” AIAA Journal, Vol. 19, No. 5, 1981, pp. 642-650.
doi:10.2514/3.50984

[10] D. G. Ashwell, A. B. Sabir and T. M. Roberts, “Further Studies in the Application of Curved Finite Elements to Circular Arches,” International Journal of Mechanical Sciences, Vol. 13, No. 6, 1971, pp. 507-517.
doi:10.1016/0020-7403(71)90038-5

[11] A. H. Sheikh and P. Dey, “A New Triangular Element for the Analysis of Thick and Thin Plates,” Communications in Numerical Methods in Engineering, Vol. 17, No. 9, 2001, pp. 667-673. doi:10.1002/cnm.440

[12] J. J. Engblom and O. O. Ochoa, “Finite Element Formulation Including Interlaminar Stress Calculations,” Computers & Structures, Vol. 23, No. 2, 1986, pp. 241-249.
doi:10.1016/0045-7949(86)90216-6

[13] M. Guenfoud, “Presentation de l’Element DSTM pour le Calcul Lineaire des Coques d’Epaisseur Quelconque,” Ann l’ITBTP, Vol. 515, 1993, pp. 25-52.

[14] L. Belounar and M. Guenfoud, “A New Rectangular Finite Element Based on the Strain Approach for Plate Bending,” Thin-Walled Structures, Vol. 43, No. 1, 2005, pp. 47-63. doi:10.1016/j.tws.2004.08.003

[15] B. N. Pandya and T. Kant, “A Consistent Refined Theory for Flexure of a Symmetric Laminate,” Mechanics Research Communications, Vol. 14, No. 2, 1987, pp. 107-113. doi:10.1016/0093-6413(87)90026-7

[16] S. Goswami, “A C0 Plate Bending Element with Refined Shear Deformation Theory for Composite Structures,” Composite Structures, Vol. 72, No. 3, 2006, pp. 375-382.
doi:10.1016/j.compstruct.2005.01.007

[17] G. R. Bhashyam and R. H. Gallagher, “An Approach to the Inclusion of the Transverse Shear Deformation in the Finite Element Plate Bending analysis,” Computers and Structures, Vol. 19, No. 1-2, 1984, pp. 35-40.
doi:10.1016/0045-7949(84)90200-1

[18] S. Goswami, “A Finite Element Investigation on the Effects of Cross-Sectional Warping on Flexural Response of Laminated Composites and Sandwiches using Higher Order Shear Deformation Theory,” Journal of Reinforced Plastics and Composites, Vol. 24, No. 15, 2005, pp. 1587-1604. doi:10.1177/0731684405050398

[19] C. W. Pryor Jr. and R. M. Barker, “A Finite Element Analysis Including Transverse Shear Effects for Applications to Laminated Plates,” AIAA Journal, Vol. 9, No. 5, 1971, pp. 912-917. doi:10.2514/3.6295

[20] J. N. Reddy, “A Penalty Plate Bending Element for the Analysis of Laminated Anisotropic Composite Plates,” International Journal for Numerical Methods in Engineering, Vol. 15, No. 8, 1980, pp. 1187-1206.
doi:10.1002/nme.1620150807

[21] N. D. Phan and J. N. Reddy, “Analysis of Laminated Composite Plates using a Higher Order Shear Deformation Theory,” International Journal for Numerical Methods in Engineering, Vol. 21, No. 12, 1985, pp. 2201-2219. doi:10.1002/nme.1620211207

[22] R. K. Kapania and S. Raciti, “Recent Advances in Analysis of Laminated Beams and Plates,” AIAA Journal, Vol. 27, No. 7, 1989, pp. 923-946. doi:10.2514/3.10202

[23] J. N. Reddy and D. H. Robbins, “Theories and Computational Models for Composite Laminates,” Applied Mechanics Review, Vol. 47, No. 6, 1994, pp. 147-165.
doi:10.1115/1.3111076

[24] A. K. Noor, S. Burton and C. W. Bert, “Computational Models for Sandwich Panels and Shells,” Applied Mechanics Review, Vol. 49, No. 3, 1996, pp. 155-199.
doi:10.1115/1.3101923

[25] X. Y. Zhang and C. H. Yang, “Recent Developments in Finite Element Analysis for Laminated Composite Plates,” Composite Structures, Vol. 88, No. 1, 2009, pp. 147-157.
doi:10.1016/j.compstruct.2008.02.014