San Diego State University

Lectures on "Three dimensional elasticity solutions for plates"


REFERENCES




  1. Demasi L., “Three-Dimensional Closed Form Solutions and Exact Thin Plate Theories for Isotropic Plates”, Composite Structures 2007, 80, pp. 183-195, doi:10.1016/compstruct.2006.04.073


  2. Demasi L., “2D, quasi 3D and 3D Exact Solutions for Bending of Thick and Thin Sandwich Plates”, Journal of Sandwich Structures and Materials 2008, 10, pp. 271-310, doi:10.1177/1099636208089311


  3. Demasi L., “Three-dimensional closed form solutions and ∞3 theories for orthotropic plates ”, Mechanics of Advanced Materials and Structures, 2008, in press


  4. Pagano N. J., “Exact Solutions for Composite Laminates in Cylindrical Bending”, J. Composite Mater., 1969, vol. 3, pp. 398-411


  5. Pagano N. J., “Exact Solutions for Rectangular Bidirectional Composite and Sandwich Plates”, J. Composite Mater., 1970, vol. 4, pp. 20-34


  6. Kardomateas G., “Three Dimensional Elasticity Solution for Sandwich Plates with Orthotropic Phases: the Positive Discriminant Case”, Journal of Applied Mechanics, 2008, in press.


  7. Zenkour A. M. , “Three Dimensional Elasticity Solution for Uniformly Loaded Cross-Ply laminates and Sandwich Plates”, Journal of Sandwich Structures and Materials, 2007, Vol. 9, 213.


  8. Srinivas S. and Rao A. K., “Bending, Vibration and Buckling of Simply Supported Thick Orthotropic Rectangular Plates and Laminates” International Journal of Solids Structures, 1970; vol. 6: 1463-1481


  9. Pan E., “Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates”, Journal of Applied Mechanics, 2001, vol. 68, pp. 608-618


  10. Heyliger P., “Exact Solutions for Simply Supported Laminated Piezoelectric Plates”, Journal of Applied Mechanics, 1997, vol. 63, pp. 299-306


  11. Vel S.S., Batra R.C.,P., “Three-Dimensional Analytical Solution for Hybrid Multilayered Piezoelectric Plates”, Journal of Applied Mechanics, 1997, vol. 67, pp. 558-567


  12. Meyer-Piening H.R., “Application of the Elasticity Solution to Linear Sandwich Beam, Plate and Shell Analyses”, Journal of Sandwich Structures, 2004, vol. 6, No. 4, pp. 295-312


  13. Savoia M., Reddy J.N., “A variational approach to three-dimensional elasticity solutions of laminated composite plates”, Journal of Applied Mechanics, 1992, Vol. 59: S166-75


  14. Noor A.K., Burton W.S., “Three-Dimensional Solutions for Antisymmetrically Laminated Anisotropic Plates”, Journal of Applied Mechanics, 1990, Vol. 57, pp. 182-188


  15. Werner H., “A Three-dimensional solution for rectangular plate bending free of transversal normal stress”, Communications in Numerical Methods in Engineering, 1999, Vol. 15. pp. 295-302


  16. Carrera E., Giunta G., Brischetto S., “Hierarchical closed form solutions for plates bent by localized transverse loadings”, Journal of Zhejiang University SCIENCE A, 2007, 8: 1-12, ISSN 1673-565X (Print); ISSN 1862-1775 (Online), www.zju.edu.cn/jzus; www.springerlink.com; E-mail: jzus@zju.edu.cn


  17. Reddy J. N., “Mechanics of Laminated Composite Plates, Theory and Analysis”, 1997, CRC Press.


  18. Kreyszig E., “Advanced Engineering Mathematics”, 1999, John Wiley & Sons, INC.