Skip to main content

Plates and Panels of Composite Materials

  • Chapter

Part of the book series: Mechanics of Structural Systems ((MSSY,volume 5))

Abstract

In Chapter 2, the governing constitutive equations were developed in detail, describing the relationships between integrated stress resultants (N x , N y , N xy ), integrated stress couples ( M x , M y , M xy ), in-plane mid-surface strains ( ∈0 x , ∈0 y , ∈0 xy ), and the curvatures (K x , K y , K xy ), as seen in Equations (2.62). These will be utilized with the strain-displacement relations of (2.40) and (2.42) and the equilibrium equations to be developed in Section 3.2 to develop structural theories for thin walled bodies. the structural form in which composite materials are most generally employed. Plates and panels are discussed in this chapter. Beams. rods and columns are discussed in Chapter 4. Shells will be the subject of Chapter 5. The use of energy methods for solving structures problems is discussed in Chapter 6. However to study any of the structural equations it is necessary to develop suitable equilibrium equations first.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Vinson, J.R. Structural Mechanics: The Behavior of Plates and Shells. New York: Wiley-Interscience, John Wiley and Sons, 1974.

    Google Scholar 

  2. Vinson, J.R. and Chou, T.W. Composite Materials and Their Use in Structures. London: Applied Science Publishers, 1975.

    Google Scholar 

  3. Levy, M., “Sur L’equilibrie Elastique d’une Plaque Rectangulaire,” Compt Rend 129 (1899): 535–539.

    MATH  Google Scholar 

  4. Vinson, J.R., “New Techniques of Solutions for Problems in Orthotropic Plates,” Ph.D. Dissertation, University of Pennsylvania, 1961.

    Google Scholar 

  5. Vinson, J.R. and Brull, M.A., “New Techniques of Solutions of Problems in Orthotropic Plates,” Transactions of the Fourth United States Congress of Applied Mechanics. 1962.

    Google Scholar 

  6. Thomson, W.T. Vibration Theory and Applications, 2nd Edition, Prentice Hall, Inc., (1981).

    Google Scholar 

  7. Warburton, G., “The Vibration of Rectangular Plates,” Proceedings of the Institute of Mechanical Engineers, 1968 (1954), 371.

    Google Scholar 

  8. Young, D. and Felgar, R., Jr., “Tables of Characteristic Functions Representing Normal Modes of Vibration of a Beam,” The University of Texas Publication Number 4913, (1944).

    Google Scholar 

  9. Felgar, R., Jr., “Formulas for Integral Containing Characteristic Functions of a Vibrating Beam,” Bureau of Engineering Research, The University of Texas Publication, 1950.

    Google Scholar 

  10. Dobyns, A.L., “The Analysis of Simply-Supported Orthotropic Plates Subjected to Static and Dynamic Loads,” American Institute of Aeronautics and Astronautics Journal, (May 1981): 642–650.

    Google Scholar 

  11. Sloan, J.G. and Vinson, J.R., “The Behavior of Rectangular Composite Material Plates Under Lateral and Hygrothermal Loads,” AFOSR TR-78-1477, (July 1978).

    Google Scholar 

  12. Pipes, R.B., Vinson, J.R. and Chou, T.W., “On the Hygrothermal Response of Laminated Composite Systems,” Journal of Composite Materials, Vol. 3, (April 1976).

    Google Scholar 

  13. Whitney, J.M., “The Effect of Transverse Shear Deformation on the Bending of Laminated Plates,” Journal of Composite Materials, Vol. 3, (July 1969).

    Google Scholar 

  14. Wu, C.I. and Vinson, J.R., “Nonlinear Oscillations of Laminated Specifically Orthotropic Plates with Clamped and Simply Supported Edges,” Journal of the Acoustical Society of America, 49 5, Pt. 2, (May 1971): 1561–1567.

    Google Scholar 

  15. Flaggs, D.L. Elastic Stability of Generally Laminated Composite Plates Including Hygrothermal Effects, MMAE Thesis, University of Delaware, (June 1978).

    Google Scholar 

  16. Smith, A.P., Jr., The Effect of Transverse Shear Deformation on the Elastic Stability of Orthotropic Plates Due to In-Plane Loads, MMAE Thesis, University of Delaware, (May 1973).

    Google Scholar 

  17. Linsenmann, D.R. Stability of Plates of Composite Materials, MMAE Thesis, University of Delaware, (June 1974).

    Google Scholar 

  18. Shen, C. and Springer, G.S., “Moisture Absorption and Desorption of Composite Materials,” Journal of Composite Materials, vol. 10, (January 1976).

    Google Scholar 

  19. Vinson, J.R. and Shore, S., “Methods of Structural Optimization for Flat Sandwich Panels,” US. Naval Air Engineering Center Technical Report NAEC-ASL-1083, (1965).

    Google Scholar 

  20. Vinson, J.R. and Shore, S., “Design Procedures for the Structural Optimization of Flat Sandwich Panels,” US. Naval Air Engineering Center Technical Report NAEC-ASL-1084, (1965).

    Google Scholar 

  21. Vinson, J.R. and Shore, S., “Bibliography on Methods of Structural Optimization of Flat Sandwich Panels,” U.S. Naval Air Engineering Center Technical Report NAEC-ASI-1082, (1965).

    Google Scholar 

  22. Vinson, J.R. and Shore, S., “Structural Optimization of Corrugated Core and Web-Core Sandwich Panels Subjected to Uniaxial Compression,” U.S. Naval Air Engineering Center Technical Report NAEC-ASL-1109. (1967).

    Google Scholar 

  23. Vinson. J.R. and Shore. S.. “Structural Optimization of Flat, Corrugated Core and Web-Core Sandwich Panels Under In-Plane Shear Loads, and Combined Uniaxial Compressive and In-Plane Shear Loads,” U.S. Naval Air Engineering Center Technical Report NAEC-ASL-1110. (1967).

    Google Scholar 

  24. Vinson. J.R. and Shore. S.. “A Method for Weight Optimization of Flat Truss-Core Sandwich Panels Under Lateral Loads.” U.S. Naval Air Engineering Center Technical Report NAEC-ASL-1111, (1967).

    Google Scholar 

  25. Bert, C.W., “Vibration of Composite Structures,” Proceedings of the International Conference on Recent Advances in Structural Dynamics, Inst. of Sound and Vibration Research, University of Southampton, Southampton, England, July 1980, Vol. 2, pp 693–712.

    Google Scholar 

  26. Bert, C.W., Reddy, J.N., Reddy, V.S. and Chao, W.C., “Analysis of Thick Rectangular Plates Laminated of Bimodulus Composite Materials,” AIAA Journal, Vol. 19, No. 10, Oct. 1981, pp 1342, 1349.

    Article  ADS  MATH  Google Scholar 

  27. Reddy, J.N. and Bert, C.W., “On the Behavior of Plates Laminated of Bimodulus Composite Materials,” Zeitschrift für Mathematik und Mechanik, Vol. 62, No.6, 1982, pp 213–219.

    Article  MATH  Google Scholar 

  28. Reddy. J.N.. “Analysis of Layered Composite Plates Accounting for Large Deflections and Transverse Shear Strains.” Recent Advances in Nonlinear Computational Mechanics. Pine Ridge Press (1981).

    Google Scholar 

  29. Wilson, D.W. and Vinson, J.R.. “Viscoelastic Analysis of Laminated Plate Buckling”. AIAA Journal. Vol. 22, No.7. July 1984, pp 982–988.

    Article  ADS  MATH  Google Scholar 

  30. Reddy, J.N., “Survey of Recent Research in the Analysis of Composite Plates.” Composites Technology Review, Vol. 4, No.3, Fall 1982, pp 101–104.

    Article  Google Scholar 

  31. Farshad, M. and Ahmadi, G., “Perturbation Solution to the Problems of General Orthotropic Rectangular Plates,” Iranian Journal of Science and Technology, Vol. I, No.2, Sept. 1971, pp 147–162.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Kluwer Academic Publishers, Dordrecht

About this chapter

Cite this chapter

Vinson, J.R., Sierakowski, R.L. (1987). Plates and Panels of Composite Materials. In: The behavior of structures composed of composite materials. Mechanics of Structural Systems, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5187-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-5187-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-247-3578-5

  • Online ISBN: 978-94-009-5187-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics