Skip to main content
SpringerLink
Log in

An asymptotic theory for the moderately large deflections of anisotropic plates

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

In this paper a first approximation theory for the moderately large deflections of anisotropic plates is derived. The method used is that of asymptotic integration of a non-linear set of elasticity equations. Higher order systems can be derived in a systematic manner. For an isotropic material, the derived equations reduce to the von Karman equations.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. N. Goodier, On the problems of the beam and the plate in the theory of elasticity,Trans. Roy. Soc. Canada, 32 (1938) 65–88.

    Google Scholar 

  2. K. O. Friedrichs and R. F. Dressler, A boundary layer theory for elastic plates,Com. Pure Appl. Math., 14 (1961) 1–33.

    Google Scholar 

  3. E. Reissner, On the derivation of boundary conditions for plate theory,Proc. Roy. Soc. London, A276 (1963) 178–186.

    Google Scholar 

  4. A. L. Goldenveizer, and A. V. Kolos, On the derivation of two-dimensional equations in the theory of thin elastic plates,PMM, 29 (1965) 141–155.

    Google Scholar 

  5. I. K. Ebcioglu, and L. M. Habip, Moderately large deflection of a transversely isotropic plate,Proc. 9th Midwestern Mech. Conf., Madison, Wiscc., 1965.

    Google Scholar 

  6. G. Pickett and M. W. Johnson,Analytical procedures for predicting the mechanical properties of fiber reinforced composites, Tech. Rept. AFML-TR-65-220, Wright-Patterson A. F. base, Ohio, 1966.

    Google Scholar 

  7. V. V. Novozhilov,Foundations of the nonlinear theory of elasticity, Graylock Press, Rochester, N.Y., 1953.

    Google Scholar 

  8. M. W. Johnson and O. E. Widera, An Asymptotic Dynamic Theory for Cylindrical Shells,Studies in Appl. Math., to be published.

Download references

Author information

Authors and Affiliations

  1. Institut für Umformtechnik, Universität Stuttgart, Deutschland

    O. E. Widera

Authors
  1. O. E. Widera
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Widera, O.E. An asymptotic theory for the moderately large deflections of anisotropic plates. J Eng Math 3, 239–244 (1969). https://doi.org/10.1007/BF01535171

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01535171

Keywords

Search

Navigation