References
- J.N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, New York, 1997.
- S. Srinivas, C.V.J. Rao, and A.K. Rao, An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates, J. Sound Vib., vol. 12, no. 2, pp. 187–199, 1970.
- J. Fan and J.Q. Ye, An exact solution for the static and dynamics of laminated thick plates with orthotropic layers, Int. J. Solids Struct., vol. 26, pp. 655–662, 1990.
- R.C. Batra and S. Aimmanee, Missing frequencies in previous exact solutions of free vibrations of simply supported rectangular plates, J. Sound Vib., vol. 265, pp. 887–896, 2003.
- A. Messina, Influence of the edge-boundary conditions on three-dimensional free vibrations of isotropic and cross-ply multilayered rectangular plates, Compos. Struct., vol. 93, no. 8, pp. 2135–2151, 2011.
- N.J. Pagano, Exact solutions for composite laminates in cylindrical bending, J. Compos. Mater., vol. 3, pp. 398–411, 1969.
- N.J. Pagano, Influence of shear coupling in cylindrical bending of anisotropic laminates, J. Compos. Mater., vol. 4, pp. 330–343, 1970.
- S.S. Vel and R.C. Batra, The generalized plane strain deformations of thick anisotropic composite laminated plates, Int. J. Solids Struct., vol. 37, pp. 715–733, 2000.
- K. Washizu, Variational Methods in Elasticity and Plasticity, 3rd Edition, Pergamon Press, New York, 1982.
- E. Reissner, On a variational theorem in elasticity, J. Math. Phys., vol. 29, pp. 90–95, 1950.
- E. Reissner, On a certain mixed variational theorem and a proposed application, Int. J. Num. Methods Eng., vol. 20, pp. 1366–1368, 1984.
- S. Kapuria and P. Kumari, Multi-term extended Kantorovich method for three dimensional elasticity solution of laminated plates, J. Appl. Mech., vol. 79(6), article 061018, 2012.
- A. Messina and G. Rollo, Three-dimensional free vibration analysis of cross-ply laminated rectangular plates with free edges through a displacement-based approach, Math. Mech. Solids, vol. 15, pp. 539–556, 2010.
- E. Carrera, Layerwise mixed models for accurate vibrations analysis of multilayered plates, vol. 65, pp. 820–828, 1998.
- E. Carrera, A study of transverse normal stress on vibration of multilayered plates and shells, vol. 225, pp. 803–829, 1999.
- A. Messina, Three-dimensional free vibration analysis of cross-ply laminated rectangular plates through 2D and exact models, Mech. Adv. Mater. Struct., vol. 19, no. 4, pp. 250–264, 2012.