Skip to main content

Anisotropic Elasticity and Laminate Theory

  • Chapter

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 18))

Abstract

In the previous thirteen chapters, Part I of the text, shells of isotropic materials were treated.

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   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover 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.

References

  1. Shames, I. H., Introduction to Solid Mechanics. New York: Prentice-Hall, Inc., 1975.

    Google Scholar 

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

    Google Scholar 

  3. Vinson, J. R., “The Behavior of Thin Walled Structures: Beams, Plates and Shells”, Kluwer Academic Publishers, Dordrecht, 1989.

    Google Scholar 

  4. Marguerre, H., and H. T. Woernle, Elastic Plates. New York: Blaisdell Publishing Company, 1969.

    Google Scholar 

  5. Sokolnikoff, I. S., “The Mathematical Theory of Plasticity”, McGraw-Hill Book Company, Inc., New York, Second Edition, 1956.

    Google Scholar 

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

    Google Scholar 

  7. Vinson, J. R. and R. L. Sierakowski, “The Behavior of Structures Composed of Composite Materials”, Martinus-Nijhoff Publishers, (now Kluwer Academic Publishers) Dordrecht, The Netherlands, 1986.

    MATH  Google Scholar 

  8. Carlsson, L. A. and R. B. Pipes, “Experimental Characterization of Advanced Composite Materials”, Prentice-Hall Publishing Co., Inc., Englewood Cliffs, N.J., 1987.

    Google Scholar 

  9. Halpin, J. C. and S. W. Tsai, “Environmental Factors in Composite Materials Design”, Air Force Materials Laboratory Technical Report 67–423, 1967.

    Google Scholar 

  10. Hashin, Z., “Theory of Fiber Reinforced Materials”, National Aeronautics and Space Administration Contractors Report 1974 (1972).

    Google Scholar 

  11. Christensen, R. M., Mechanics of Composite Materials. New York: John Wiley and Sons, Inc., 1979.

    Google Scholar 

  12. Hahn, H. T., “Simplified Formulas for Elastic Moduli of Unidirectional Continuous Fiber Composites”, Composites Technology Review, Fall 1980.

    Google Scholar 

  13. Chou, T. W., “Microstructural Design of Fiber Composites”, Cambridge University Press, 1992.

    Google Scholar 

  14. Vinson, J. R., W. J. Walker, R. B. Pipes,and O. R. Ulrich, “The Effects of Relative Humidity and Elevated Temperatures on Composite Structures”, Air Force Office of Scientific Research Technical Report 77–0030, February 1977.

    Google Scholar 

  15. Pipes, R. B., J. R. Vinson, and T. W. Chou, “On the Hygrothermal Response of Laminated Composite Systems”, Journal of Composite Materials, April 1976: 130–148.

    Google Scholar 

  16. Jurf, R. A. and J. R. Vinson, “Effect of Moisture on the Static and Viscoelastic Shear Properties of Epoxy Adhesives”, Journal of Materials Science, Vol. 20, pp. 2979–2989, 1985.

    Article  ADS  Google Scholar 

  17. Wilson, D. W. and J. R. Vinson, “Viscoelastic Effects on Buckling of Laminated Plates Subjected to Hygrothermal Conditions”, ASME Publications AD-03, “Advances in Aerospace Structures and Materials”, 1982.

    Google Scholar 

  18. Wilson, D. W. and J. R. Vinson, “Viscoelastic Effects on the Buckling Response of Laminated Columns”, ASTM Special Publications, 864, “Recent Advances in Composites in the United States and Japan, 1985.

    Google Scholar 

  19. Lindholm, V. S., “Some Experiments With the Split Hopkinson Pressure Bar”, Journal of Mechanics and Physics of Solids, Vol. 12, pp. 317–335, 1964.

    Article  ADS  Google Scholar 

  20. Daniel, I. M., R. H. La Bedz and T. Liber, “New Method for Testing Composites at Very High Strain Rates”, Experimental Mechanics, February, 1981.

    Google Scholar 

  21. Nicholas, T., “Tensile Testing of Materials at High Rates of Strain”, Experimental Mechanics, pp. 177–185, May 1981.

    Google Scholar 

  22. Zukas, J. A., “Impact Dynamics”, John Wiley and Sons, New York, N.Y., 1982.

    Google Scholar 

  23. Sierakowski, R. L., “Dynamic Measurements of the Mechanical Properties of Filamentary Composites”, Society of Experimental Mechanics, 1985.

    Google Scholar 

  24. Choe, G. H., W. W. Finch, Jr. and J. R. Vinson, “Compressive Testing of Composite Materials at High Strain Plates”, Proceedings of the Fourth JapanU.S. Conference on Composite Materials, Technomic Publishing Company, Lancaster, PA., pp. 82–91, 1988.

    Google Scholar 

  25. Frey, T. J., J. R. Vinson and I. W. Hall, “High Strain Rate Effects on Mechanical Properties of Glass/Polyester and Carbon/Aluminum Composite Materials”, Proceedings of the AIAA/ASME/ASCS/AHS/ASC 32nd SDM Conference, April 1991.

    Google Scholar 

  26. Frey, T. J., J. R. Vinson, and K. M. Prewo, “High Strain Rate Mechanical Properties of Carbon/Glass and Graphite/Epoxy Composite Materials”, Proceedings of the 8th International Conference on Composite Materials, July 1991.

    Google Scholar 

  27. Sloan, J. G., “The Behavior of Rectangular Composite Material Plates Under Lateral and Hygrothermal Loads”, MMAE Thesis, University of Delaware 1979.

    Google Scholar 

  28. Tsai, S. W., and N. J. Pagano, “Invariant Properties of Composite Materials,” Composite Materials Workshop, Tsai, S. W., Technomic Publishing Co., Stamford, CT, 1968, pp. 233–253.

    Google Scholar 

  29. Reissner, E., “On a Variational Theorem in Elasticity”, J. Math. Phys., 29, 1950.

    Google Scholar 

  30. Mindlin, R. D., “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic Elastic Plates, Journal of Applied Mechanics, 73, 1951.

    Google Scholar 

  31. Leibowitz, M. and J. R. Vinson, “Intelligent Composites: Design and Analysis of Composite Material Structures Involving Piezoelectric Material Layers. Part A-Basic Formulation”, Center for Composite Materials Technical Report 9154, University of Delaware, November 1991.

    Google Scholar 

  32. Rogers, C. A., “Recent Advances in Adaptive and Sensory Materials and Their Applications”, Technomic Publishing Co., Inc., 1992.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Vinson, J.R. (1993). Anisotropic Elasticity and Laminate Theory. In: The Behavior of Shells Composed of Isotropic and Composite Materials. Solid Mechanics and Its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8141-7_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8141-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4237-8

  • Online ISBN: 978-94-015-8141-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics