Engineering and Technology Quarterly Reviews

ISSN 2622-9374

Published: 30 January 2021

Uniformly Valid First Approximation Shell Theory of Hybrid Anisotropic Materials

Samuel W Chung, Hyun-ho Ju

University of Utah (USA), Dong Guk University (South Korea)

pdf download

Download Full-Text Pdf


Pages: 1-9

Keywords: Shell Theory, Hybrid Anistropic Materials


The theories in this article implies unique physical characteristics and formulated the governing equations. A uniformly valid shell theory which includes all the terms present in each of the asymptotic shell theories. The first approximation theories derived in this article represent the simplest possible shell theories for the corresponding length scales considered. Although twenty-one elastic coefficients are present in the original formulation of the problem, only six are appear in the first approximation theories.


  1. LOVE, A. E. H., "A treatise on the mathematical theory of elasticity", Dover Edition, New York.

  2. REISSNER, E., "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech. 12, Nos.A69-A77,(1945).

  3. GOLDENVEISER, A. L., "Theory of elastic thin shells", Pergamon

  4. REISSNER, E., "On some problems in shell theory", Proc. 1st Symposium on Naval Structural Mechanics (Stanford University), (1958).

  5. REISSNER, E. and STAVSKY, Y., "Bending and stretching of certain types of heterogeneous aelotropic elastic plates", J. Appl. Mech., Paper No. 61-APM-21,(1961).

  6. DONG, R. G. and DONG, S. B., "Analysis of slightly anisotropic shells", AIAA Journal, 1, No.11, November,(1963).

  7. WIDERA, 0. E. and CHUNG, S. W., "A theory for non-homogeneous anisotropic cylindrical shells", J. COMPOSITE MATERIALS, 6, January, (1972).

  8. GOLDENVEISER, A. L., "Methods for justifying and refining the theory of shells", P.M.M. 32, 684 (1968).

  9. JOHNSON, M. W. and REISSNER, E., "On the foundations of the theory thin elastic shells", J. Math. Phys. 37, 371 (1959).

  10. REISS, E. L., "A theory for the small rotationally symmetric deform¬ations of cylindrical shells". Communications on Pure and Applied Mathematics XIII, 531 (1960).

  11. WILCOX, C. H., "Asymptotic solutions of differential equations and their applications", John-Wiley and.Sons, Inc..

  12. VAN DYKE, M., "Pertubation methods in fluid mechanics", Academic Press, (1964).

  13. DYM, C. L. and HOFF, N. J., "Pertubation-solutions for the buckling problem of axially compressed thin cylindrical shells", AFO SR-66--1755, SUDAAR No.282, Stanford University.

  14. BERT, C. W., "Structural theory for laminated anisotropic elastic shells", J. COMPOSITE MATERIALS 1 , 414 (1967).

  15. VLASOV, V. Z., "General theory of shells and its applications in engineering", NASA TT F-99, National Tech. Information Service.

  16. CHUNG, S.W., “A Comparison of Membrane Shell Theories of Hybrid Anisotropic Materials”, European Journal of Engineering and Technology, Volume 4, No.5,2016

  17. Chung, S.W., Hong, S.G. and Ju, G.S.,

  18. “Details of Semi-Membrane Shell Theory of Hybrid Anisotropic Materials” International Journal of Composite Materials 2018.8(3):47-56,

  19. Chung, S.W., Hong, S.G., Ju, G.S.

  20. “Pure Membrane, Pseudo Membrane, and Semi Membrane Shell Theories of Hybrid Anisotropic Materials”, Journal of Material Science and Engineering A 8 (5-6) (2018) 121-135,

  21. Chung, S.W., Hong, S.G., Ju, G.S., “Semi-Membrane and Effective Length Theory of hybrid Anisotropic Materials“,

  22. International Journal of Composite Materials. volume 7 (3), 2017: Contact Us: , ID:110900221

  23. Chung, S. W.1, Hong S. G.2, Ju G. S.3,

  24. “Applications of Pure Membrane, Pseudo Membrane, and Semi Membrane Shell Theories of Hybrid Anisotropic Materials”, International Journal of Composite Materials  p-ISSN: 2166-479X e-ISSN: 2166-4919, 2018; 8(4): 73-90 doi:10.5923/j.cmaterials.20180804.01

  25. Chung S. W.1 , Hong, S. G.2, Ju G. S.3,, “A Spherical Shell Theory of Hybrid Anisotropic Materials”. International Journal of Composite Materials p-ISSN: 2166-479X e-ISSN: 2166-4919 2018; 8(4): 97-104, ID:110900262, doi:10.5923/j.cmaterials.20180804.03

About Us

The Asian Institute of Research is an online and open-access platform to publish recent research and articles of scholars worldwide. Founded in 2018 and based in Indonesia, the Institute serves as a platform for academics, educators, scholars, and students from Asia and around the world, to connect with one another. The Institute disseminates research that is proven or predicted to be of significant influence for the general public.

Contact Us

Please send all inquiries to the email:

Business Address:

5th Floor, Kavling 507, Fajar Graha Pena Tower, Jl. Urip Sumohardjo No.20, Makassar, Indonesia 90234

Copyright © 2018 The Asian Institute of Research. All rights reserved

Stay Connected

  • Instagram - Black Circle
  • Facebook - Black Circle
  • LinkedIn - Black Circle