A general theory for the accurate stress analysis of homogeneous and laminated composite beams

International Journal of Solids and Structures

Volumn 34, Issue 22, 1997, Pages 2857-2885

  Soldatos, Kostas P ^a   Watson, Philip ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ELASTICITY; LAMINATED COMPOSITES; MATHEMATICAL MODELS; PROBLEM SOLVING; SHEAR DEFORMATION; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

GENERAL FOUR DEGREES OF FREEDOM BEAM THEORY (G4DOFBT); HOMOGENEOUS COMPOSITE BEAMS;

COMPOSITE BEAMS AND GIRDERS;

EID: 0031209148     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00170-9     Document Type: Article

References (24)

1. Bickford, W. B. (1982). A consistent higher-order beam theory. Developments in Theoretical and Applied Mechanics 11, 137-142.
2. Cho, M. and Parmerter, R. R. (1992). An efficient higher-order plate theory for laminated composites. Computers & Structures 20, 113-123.
3. Di Sciuva, M. (1986). Bending, vibration and buckling of simply supported thick multilayered orthotropic plates: an evaluation of a new displacement model. Journal of Sound and Vibration 105, 425-442.
4. Di Tarante, R. A. (1973). Static analysis of a laminated beam. Journal of Engineering in Industry 95, 755-761.
5. Donnell, L. H. (1976). Beams, Plates and Shells, McGraw-Hill, New York.
6. Heuer, R. (1992). Static and dynamic analysis of transversely isotropic, moderately thick sandwich beams by analogy. Acta Mechanics. 91, 1-9.
7. Jones, R. M. (1975). Mechanics of Composite Materials, Hemisphere, New York.
8. Pagano, N. J. (1969). Exact solution for composite laminates in cylindrical bending. Journal of Composite Materials 3, 398-411.
9. Rao, D. K. (1976). Static response of stiff-cored unsymmetric sandwich beams. Journal of Engineering in Industry 98, 391-396.
10. Rao, D. K. (1977). Vibration of short sandwich beams. Journal of Sound and Vibration 52, 253-263.
11. Rao, D. K. (1978). Frequencies and loss factors of multicored sandwich beams. Journal of Mechanics Design 100, 667-674.
12. Savithri, S. and Varadan, T. K. (1990). Free vibration and stability of cross-ply laminated plates. Journal of Sound and Vibration 141, 516-520.
13. Soldatos, K. P. (1992a). A transverse shear deformation theory for homogeneous monoclinic plates. Acta Mechanica 94, 195-220.
14. Soldatos, K. P. (1992b). A general laminated plate theory accounting for continuity of displacements and transverse shear stresses at material interfaces. Computers & Structures 20, 195-211.
15. Soldatos, K. P. (1992c). A four-degrees-of-freedom cylindrical shell theory accounting for both transverse shear and transverse normal deformation. Journal of Sound and Vibration 159, 533-539.
16. Soldatos, K. P. (1993a). Vectorial approach for the formulation of variationally consistent higher-order plate theories. Computers in Engineering 3, 3-17.
17. Soldatos, K. P. (1993b). A non-linear transverse shear deformable plate theory allowing a multiple choice of trial displacement and stress distributions. Computers in Engineering 3, 885-897.
18. Soldatos, K. P. (1995). Generalization of variationally consistent plate theories on the basis of a vectorial formulation. Journal of Sound and Vibration 183, 819-839.
19. Soldatos, K. P. and Timarci, T. (1993). A unified formulation of laminated composite shear deformable five-degrees-of-freedom cylindrical shell theories. Computers & Structures 25, 165-171.
20. Srinivas, S. and Rao, A. K. (1970). Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. International Journal of Solids and Structures 6, 1463-1481.
21. Timoshenko, S. (1922). On the transverse vibrations of bars of uniform cross-section. Philosophical Magazine 43, 125-131.
22. Touratier, M. (1992). A refined theory of laminated shallow shells. International Journal of Solids and Structures 29, 1401-1415.
23. Ye, J. Q. and Soldatos, K. P. (1994a). Three-dimensional vibrations of laminated cylinders and cylindrical panels with a symmetric or an antisymmetric cross-ply lay-up. Computers in Engineering 4, 429-444.
24. Ye, J. Q. and Soldatos, K. P. (1994b). Three-dimensional stress analysis of orthotropic and cross-ply laminated hollow cylinders and cylindrical panels. Computational Methods in Applied Mechanics and Engineering 117, 331-351.