A comparative analysis of Mindlin and Kirchhoff bending solutions for nonlinearly tapered annular plate with free edges

Archive of Applied Mechanics

Volumn 77, Issue 6, 2007, Pages 393-405

  Ozer, Halil ^a  

^a ZONGULDAK KARAELMAS UNIVERSITY   (Turkey)

Author keywords

Bending relationships; Shear deformation; Tapered annular plate

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); ELASTICITY; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; SHEAR DEFORMATION;

BENDING RELATIONSHIPS; KIRCHHOFF BENDING SOLUTIONS; KIRCHHOFF PLATE THEORY; TAPERED ANNULAR PLATES;

NONLINEAR ANALYSIS;

EID: 34247493223     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-006-0095-8     Document Type: Article

References (18)

1. Chung, K.C., Wang, C.M.: Optimal design of stepped circular plates with allowance for the effect of transverse shear deformation. Int. J. Mech. Sci. 44, 1163-1177 (2002)
2. Conway, H.D.: Bending of symmetrically loaded circular plates with variable thickness. ASME J. Appl. Mech. 15, 1-6 (1948)
3. Conway, H.D.: Note on the bending of circular plates of variable thickness. ASME J. Appl. Mech. 16, 209-210 (1949)
4. Levinson, M.: An accurate simple theory of the statics and dynamics of elastic plates. Mech. Res. Comm. 7, 343-350 (1980)
5. Liu, T., Kitipornchai, S., Wang, C.M.: Bending of linearly tapered annular Mindlin plates Int. J. Mech. Sci. 43, 265-278 (2001)
6. Ma, L.S., Wang, T.J.: Relationship between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory. Int. J. Solid Struct. 41, 85-101 (2004)
7. Mindlin, R.D.: Influence of rotary inertia and shear in flexural motion of isotropic, elastic plates, J. Appl. Mech. 18, 1031-1036 (1951)
8. Nelson, R.B., Lorch, D.R.: A refined theory for laminated orthotropic plates. ASME J. Appl. Mech. 41, 177-183 (1974)
9. Reddy, J.N.: Energy and Variational Methods in Applied Mechanics. Wiley, Canada (1984)
10. Reddy, J.N.: A simple higher-order theory for laminated composite plates. ASME J. Appl. Mech. 51, 745-752 (1984)
11. Reddy, J.N.: Axisymmetric bending of functionally graded circular and annular plates. Eur. J. Mech. A/Solids. 18, 185-199 (1999)
12. Reddy, J.N.: Theory and Analysis of Elastic Plates. Taylor & Francis, Philadelphia (1999)
13. Reissner, E.: The effect of transverse shear deformation on the bending of elastic plates. ASME J. Appl. Mech. 12, A69-A77 (1945)
14. Timoshenko, S.P., Woinowsky-Krieger. S.: Theory of Plates and Shells. McGraw-Hill (1959)
15. Ventsel, E., Krauthammer, T.: Thin Plates and Shells: Theory, Analysis, and Applications. CRC (2001)
16. Wang, C.M.: Relationships between Mindlin and Kirchhoff bending solutions for tapered circular and annular plates. Eng. Struct. 19, 255-258 (1997)
17. Wang, C.M., Lim, G.T.: Bending Solutions of sectorial Mindlin plates from Kirchhoff plates. J. Eng. Mech. 126, 367-372 (2000)
18. Wang, C.M., Reddy, J.N., Lee, K.H.: Shear Deformable Beams and Plates: Relationships with Classical Solutions. Elsevier, The Netherlands (2000)