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Numerical modeling of nonlinear deformation of two-layer plates and shells under nonstationary loads

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References

  1. 1.

    V. V. Adishchev, V. M. Kornev, and L. A. Talzi, "Estimation of maximal stresses in closed cylindrical vessels under axisymmetric explosive loading," Institute of Hydrodynamics of the Siberian Division of the AS USSR, Novosibirsk (1983). Deposited at VINITI, No. 6588-83Dep.

  2. 2.

    V. G. Bazhenov and V. P. Stolov, "Numerical modeling of nonstationary axisymmetric wave processes in multilayer composite plates and shells of revolution," in: Applied Problems of Strength and Plasticity. Numerical Modeling of Physico-Mechanical Processes [in Russian], Izd-vo GTU, Gorky (1989), pp. 80–88.

  3. 3.

    A. I. Golovanov and M. S. Kornishin, Introduction to the FEM in the Statics of Thin Shells [in Russian], Kazan Phys. Inst., Kazan (1989).

  4. 4.

    É. I. Grigolyuk and G. M. Kulikov, Multilayer Reinforced Shells. Design of Pneumatic Tires [in Russian], Mashinostroenie, Moscow (1988).

  5. 5.

    J. W. Leach, P.-T. Hsu, and E. W. Mack, "Stability of a finite difference method for solving matrix equations," AIAA J.,3, No. 11, 239–240 (1965).

  6. 6.

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

  7. 7.

    A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul'ga, Theory and Design of Laminated Orthotropic Plates and Shells [in Russian], Vishcha Shkola, Kiev (1986).

  8. 8.

    A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

  9. 9.

    V. I. Tsypkin, V. N. Rusak, A. G. Ivanov, et al., "Deformation and fracture of two-layer metal-plastic shells under impulsive internal loading," Mekh. Komp. Mater., No. 5, 833–838 (1987).

  10. 10.

    Yu. I. Shokin, The Differential Approximation Method [in Russian], Nauka, Novosibirsk (1979).

  11. 11.

    D. Briassoulis, "Machine locking of degenerated thin shell elements," Int. J. Numer. Meth. Eng.,26, No. 8, pp. 1749–1768 (1988).

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Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of the Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 7, pp. 46–52, July, 1994.

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Meish, V.F. Numerical modeling of nonlinear deformation of two-layer plates and shells under nonstationary loads. Int Appl Mech 30, 513–519 (1994). https://doi.org/10.1007/BF00847246

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Keywords

  • Numerical Modeling
  • Nonlinear Deformation
  • Nonstationary Load