Skip to main content
Log in

Nonlinear theory of multilayer sandwich shells and its application (I)—general theory

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, a nonlinear theory is given for multilayer sandwich shells undergoing small strains and moderate rotations. Then a simplified theory for the shells undergoing moderate or moderate/small rotations are obtained.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. D. Liaw and R. W. Little, Theory of bending multilayer sandwich plates,AIAA Journal,5 (1967), 301–304.

    MATH  Google Scholar 

  2. J. P. Wong and A. E. Salama, Elastic stability of multilayer sandwich plates,Developments in Mechanics,4 (1968), 289–304.

    Google Scholar 

  3. J. J. Azar, Bending theory of multilayer orthotropic sandwich plates.AIAA Journal,6, (1968), 2166–2169.

    Google Scholar 

  4. F. Abdulhadi, Vibration of multicore orthotropic sandwich plates, ASME paper 71 −vibr − 48. Toronto, Ontario, Canada (1971).

  5. J. J. Azar, Elastic constants for multilayered sandwich cylinders shells,AIAA Journal,8, (1970), 157–158.

    Google Scholar 

  6. B. D. Liaw, A bending theory for multilayer anisotropic conical shells,Aeronautical Quarrterly,20 (1969), 61–74.

    Google Scholar 

  7. S. V. Rajagopal et al., Large-deflection and nonlinear vibration of multilayered sandwich plates.AIAA Journal,25 (1978) 130–133.

    Article  Google Scholar 

  8. W. Z. Chien. The intrinsic theory of thin shells and plates. Part III, Application to thin shells.Quart. Appl Math.,2 (1944), 120–135.

    MathSciNet  Google Scholar 

  9. W. Pietraszkiewicz, Lagrangian description and incremental formulation in the non-linear theory of thin shells.Int. J. Nonlinear Mech.,19 (1985), 115–139.

    Article  Google Scholar 

  10. Liu Renhuai and Zhu Jinfu,Nonlinear Theory of Sandwich Shells, Engineering Industry Press, Beijing (1993), (in Chinese)

    Google Scholar 

  11. F. John, Estimates for the derivatives of the stresses in a thin shell and interior shell equations.Comm. Pure and Appl. Math.,18 (1965), 235–267.

    MathSciNet  Google Scholar 

  12. W. T. Koiter, The intrinsic equations of shell theory with some applications,Mech. Today,5 (1980), 139–154.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jiancheng, W., Lizhou, P. Nonlinear theory of multilayer sandwich shells and its application (I)—general theory. Appl Math Mech 18, 19–27 (1997). https://doi.org/10.1007/BF02457497

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02457497

Key words

Navigation