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Shell theory based on invariants

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Literature cited

  1. 1.

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

  2. 2.

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

  3. 3.

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

  4. 4.

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

  5. 5.

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

  6. 6.

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

  7. 7.

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

  8. 8.

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

  9. 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. 10.

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

  11. 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).

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

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

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  • Mathematical Modeling
  • Mechanical Engineer
  • Industrial Mathematic
  • Shell Theory