An overview of the relationships between solutions of the classical and shear deformation plate theories

Composites Science and Technology

Volumn 60, Issue 12-13, 2000, Pages 2327-2335

  Reddy, J N ^a   Wang, C M ^b  

^a Texas AandM University   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Buckling loads; Deflections; Frequencies; Relationships; Shear deformation theories

Indexed keywords

ALGEBRA; BUCKLING; DEFLECTION (STRUCTURES); DIFFERENTIAL EQUATIONS; NATURAL FREQUENCIES; SHEAR DEFORMATION; STRUCTURAL LOADS;

CLASSICAL PLATE THEORY (CPT);

PLATES (STRUCTURAL COMPONENTS);

COMPOSITE;

EID: 0034279096     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-3538(00)00028-2     Document Type: Conference Paper

References (29)

1. Influence of rotatory inertia and shear in flexural motion of isotropic, elastic plates
2. A simple higher-order theory for laminated composite plates
3. Simply supported Mindlin plate deflections using Kirchhoff plates
4. Allowance for prebuckling deformations in buckling load relationship between Mindlin and Kirchhoff simply supported plates of general polygonal shape
5. Deflection of sandwich plates in terms of corresponding Kirchhoff plate solutions
6. Buckling of polygonal and circular sandwich plates
7. Vibration frequencies of simply supported polygonal sandwich plates via Kirchhoff solutions
8. Relationships between Kirchhoff and Mindlin bending solutions for Levy plates
9. Deflection and stress resultants of axisymmetric Mindlin plates in terms of corresponding Kirchhoff solutions
10. Relationships between classical and shear deformation theories of axisymmetric circular plates
11. Axisymmetric bending of functionally graded circular and annular plates
12. Relationships between Mindlin and Kirchhoff bending solutions for tapered circular and annular plates
13. Exact solutions for axisymmetric bending of continuous annular plates
14. Discussion on 'Postbuckling of moderately thick circular plates with edge elastic restraint'
15. Deducing buckling loads of sectorial Mindlin plates from Kirchhoff plates
16. Buckling load relationship between Reddy and Kirchhoff plates of polygonal shape with simply supported edges
17. Buckling solutions of rectangular Mindlin plates under uniform shear
18. Natural frequencies formula for simply supported Mindlin plates
19. Vibration of initially stressed Reddy plates on a Winkler-Pasternak foundation
20. Exact solutions for rectangular bidirectional composites and sandwich plates
21. Unified finite elements based on the classical and shear deformation theories of beams and axisymmetric circular plates
22. Vibration frequencies of simply supported polygonal sandwich plates via Kirchhoff solutions
23. Relationship between vibration frequencies of Reddy and Kirchhoff polygonal plates with simply supported edges
24. Relationships between buckling loads of Kirchhoff Mindlin and Reddy polygonal plates on Pasternak foundation