Transverse shear and normal deformation theory for bending analysis of laminated and sandwich elastic beams

Mechanics of Composite Materials and Structures

Volumn 6, Issue 3, 1999, Pages 267-283

  Zenkour, A M ^a  

^a KAFRELSHEIKH UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033468982     PISSN: 10759417     EISSN: None     Source Type: Journal    
DOI: 10.1080/107594199305566     Document Type: Article

References (20)

1. W. B. Bickford, A Consistent Higher-Order Beam Theory, Developments Theoretical and Applied Mechanics, vol. 11, pp. 137-150, 1982.
2. F. Essenburg, On the Significance of the Inclusion of the Effect of Transverse Normal Strain in Problems Involving Beams with Surface Constraints. Journal of Applied Mechanics, vol. 42, no. 1, Trans. ASME, vol. 97, Series E, pp. 127-132, 1975.
3. P. R. Heyliger and J. N. Reddy, A Higher-Order Beam Finite Element for Bending and Vibration Problems, Journal of Sound and Vibration, vol. 126, pp. 309-326, 1988.
4. A. A. Khdeir, Dynamic Response of Antisymmetric Cross-Ply Laminated Composite Beams with Arbitrary Boundary Conditions, International Journal of Engineering Science, vol. 34, no. 1, pp. 9-19, 1996.
5. A. A. Khdeir and J. N. Reddy, Free Vibration of Cross-Ply Laminated Beams with Arbitrary Boundary Conditions, International Journal of Engineering Science, vol. 32, pp. 1971-1980, 1994.
6. A. A. Khdeir and J. N. Reddy, An Exact Solution for the Bending of Thin and Thick Cross-Ply Laminated Beams, Composite Structures, vol. 37, pp. 195-203, 1997.
7. L. Librescu, Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures, The Netherlands, Noordhoff, Leyden, 1975.
8. M. Levinson, A New Rectangular Beam Theory, Journal of Sound and Vibration, vol. 74, pp. 81-87, 1981.
9. K. H. Lo, R. M. Christensen, and E. M. Wu, A High-Order Theory of Plate Deformation: Part 1, Homogeneous Plates; Part 2, Laminated Plates. Journal of Applied Mechanics, vol. 44, no. 4, pp. 663-678, 1977.
10. N. S. Putcha and J. N. Reddy, A Mixed Shear Flexible Finite Element for the Analysis of Laminated Plates, Computer Methods in Applied Mechanics and Engineering, vol. 44, pp. 213-227, 1984.
11. J. N. Reddy, Energy and Variational Methods in Applied Mechanics, New York, John Wiley, 1984.
12. J. N. Reddy, A General Non-Linear Third-Order Theory of Plates with Moderate Thickness, International Journal of Non-Linear Mechanics, vol. 25, no. 6, pp. 677-686, 1990.
13. J. N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, Florida, CRC Press, 1997.
14. J. N. Reddy, Theory and Analysis of Elastic Plates, Philadelphia, Taylor & Francis, 1999.
15. J. N. Reddy, C. M. Wang, and K. H. Lee, Relationships Between Bending Solutions of Classical and Shear Deformation Beam Theories, International Journal of Solids and Structures, vol. 34, no. 26, pp. 3373-3384, 1997.
16. Z. Rychter, On the Accuracy of a Beam Theory, Mechanics Research Communication, vol. 14, pp. 99-105, 1987.
17. S. P. Timoshenko, On the Correction for Shear of the Differential Equation for Transverse Vibrations of Prismatic Bars, Philosophical Magazine, vol. 41, pp. 744-746, 1921.
18. S. P. Timoshenko and S. Woinowski-Krieger, Theory of Plates and Shells, Singapore, McGraw- Hill, 1970.
19. A. M. Zenkour, Maupertuis-Lagrange Mixed Variational Formula for Laminated Composite Structures with a Refined Higher-Order Beam Theory, International Journal of Non-Linear Mechanics, vol. 32, no. 5, pp. 989-1001, 1997.
20. A. M. Zenkour, Vibration of Axisymmetric Shear Deformable Cross-Ply Laminated Cylindrical Shells-A Variational Approach, International Journal of Engineering Science, vol. 36, no. 3, pp. 219-231, 1998.