Skip to main content
Log in

Shell theory based on invariants

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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.

Literature cited

  1. A. L. Gol'denveizer, Elastic Thin Shell Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  2. A. I. Lur'e, Elasticity Theory [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. V. V. Novozhilov, Bases of Nonlinear Elasticity Theory [in Russian], Gostekhizdat, Leningrad-Moscow (1948).

    Google Scholar 

  4. O. Veblen, Invariants of Quadratic Differential Forms, Cambridge University Press, New York (1927).

    Google Scholar 

  5. V. V. Kuznetsov, “The canonic tensor in elasticity theory,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1987).

  6. P. K. Rashevskii, Course in Differential Geometry [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  7. J. Oden, Finite Elements in Nonlinear Solid Mechanics [Russian translation], Mir, Moscow (1976).

    Google Scholar 

  8. V. V. Kuznetsov, “Geometric invariants on nonlinear shell theory,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2 (1990).

  9. V. V. Kuznetsov and Yu. V. Soinikov, “Analysis of strains for shells with arbitrary displacements by the finite element method,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1 (1987).

  10. V. V. Kuznetsov, “Structure of energy variation for nonlinear shell models,” Prikl. Mekh.,24, No. 10 (1988).

  11. V. V. Kuznetsov, “Recurrent relationships for coefficients of variation of energy for nonlinear elastic systems,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4 (1989).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 131–136, September–October, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuznetsov, V.V. Shell theory based on invariants. J Appl Mech Tech Phys 32, 779–783 (1991). https://doi.org/10.1007/BF00851953

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00851953

Keywords

Navigation