A variational formulation and analysis of polar orthotropic circular plates using an energy principle, part I: Thin plates

Science and Engineering of Composite Materials

Volumn 14, Issue 4, 2007, Pages 317-328

  Ozer, Halil ^a  

^a ZONGULDAK KARAELMAS UNIVERSITY   (Turkey)

Author keywords

Calculus of variation; Circular plates; Polar orthotropy

Indexed keywords

EID: 36248986277     PISSN: 0334181X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. V.V. Meleshko. Selected topics in the history of the two-dimensional biharmonic problem, Appl. Mech. Rev., 56, 33-85 (2003).
2. J.A. Salem and J.M. Manderscheid. Stresses in a thin aelotropic plate subjected to uniform lateral load, J. Phys. D-Appl. Phys., 36, 2730-2737 (2003).
3. P.G. Hunan and P.R. China. The integral representation of solutions for circular plate problems without any hold, Acta Mechanica, 163, 173-182 (2003).
4. Y.A. Melnikov. Green's function of a thin circular plate with elastically supported edge, Eng. Anal. Bound. Elem., 25, 669-676 (2001).
5. M.A. Elattary. Application of eigenfunction expansion to elastic circular plates, J. Phys. D-Appl. Phys., 22, 302-304 (1989).
6. H. Ozer. A Comparative analysis of Mindlin and Kirchhoff bending solutions for nonlinearly tapered annular plate with free edges, Arch. Appl. Mech., 22, 393-405 (2007).
7. J.N. Reddy. Energy and Variational Methods in Applied Mechanics, John Wiley & Sons, 1984.
8. K.M. Liew and B. Yang. Three dimensional elasticity solutions for free vibrations of circular plates: a polynomials - Ritz analysis, Comp. Meth. Appl. Mech. Eng., 175, 189-201 (1999).
9. W. Kang, N.H. Lee, S. Pang and W.Y. Chung. Approximate closed form solutions for free vibration of polar orthotropic circular plates, Appl. Acoust., 66, 1162-1179 (2005).
10. F.C. Mbakogu and M.N. Pavlović. Bending of clamped orthotropic rectangular plates: a variational symbolic solution, Comput. Struct. 77, 117-128 (2000).
11. P. Pedregal and A. Donoso. Optimal design of a plate of variable thickness: a variational approach in dimension one, Comput. Appl. Math., 22, 75-89 (2003).
12. M.M. Najafizadeh and M.R. Eslami. Thermoelastic stability of orthotropic circular plates, J. Therm. Stresses, 25, 985-1005 (2002).
13. J.N. Reddy. Theory and Analysis of Elastic Plates, Taylor & Francis, 1999.
14. T.H. Richards,. Energy Methods in Stress Analysis, John Wiley & Sons, 1977.
15. J.N. Reddy. Applied Functional Analysis and Variational Methods in Engineering, McGraw Hill, 1986.
16. A.C. Ugural. Stresses in Plates and Shells, McGraw Hill, 1999.
17. N. Noda, R.B. Hetnarski and Y. Tanigawa. Thermal Stresses, Lastran, 2000.
18. S.G. Lekhnitskii, S.W. Tsai and T. Cheron. Anisotropic Plates, Gordon and Breach Science Publishers, New York, 1968.
19. S.P. Timoshenko and S.W. Krieger. Theory of Plates and Shells, McGraw-Hill, 1959.