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Approximate solution of boundary problems of the deformation theory of plasticity

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Literature cited

  1. A. A. Il'yushin, Plasticity [in Russian], Gostekhizdat, Moscow (1948).

    Google Scholar 

  2. I. A. Birger, “Some general methods of solving problems of the theory of plasticity,” Prikl. Mat. Mekh.,15, No. 6, 765–770 (1951).

    Google Scholar 

  3. I. I. Vorovich and Yu. P. Krasovskii, “Methods of elastic solutions,” Dokl. Akad. Nauk SSSR,126, No. 4, 118–121 (1959).

    Google Scholar 

  4. D. L. Bykov and V. A. Shachnev, “One generalization of the method of elastic solutions,” Prikl. Mat. Mekh.,33, No. 2, 290–298 (1969).

    Google Scholar 

  5. G. L. Brovko and V. S. Lenskii, “Convergence of the method of homogeneous linear approximations in problems of the theory of plasticity of inhomogeneous bodies,” Prikl. Mat. Mekh.,36, No. 3, 519–527 (1972).

    Google Scholar 

  6. S. E. Umanskii, “Evaluation of the rapidity of convergence of methods of elastic solutions and variable elasticity parameters for anisotropic inhomogeneous bodies,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 3, 199–203 (1979).

    Google Scholar 

  7. V. G. Korneev, Procedures of the Finite Element Method with High Orders of Exactness [in Russian], Leningrad State Univ. (1977).

  8. J. Declou, The Finite Element Method [Russian translation], Mir, Moscow (1976).

    Google Scholar 

  9. J. Strang and J. Fix, Theory of the Finite Element Method [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  10. C. Johnson, “On finite element methods for plasticity problems,” Numer. Math., 26, 79–84 (1976).

    Google Scholar 

  11. E. G. D'yakonov, “Projection-difference and difference methods of solving nonlinear steady-state problems of the theory of elasticity and plasticity,” Chislennye Metody Mekh. Sploshnoi Sredy, No. 5, 14–78 (1976).

    Google Scholar 

  12. Ch. Gaevskii, K. Greger, and K. Zacharias, Nonlinear Operator Equations and Operator Differential Equations [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  13. A. Cartan, Differential Calculus. Differential Forms [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  14. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations, Academic Press (1968).

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Authors and Affiliations

  1. Institute of Strength Problems, Academy of Sciences of the Ukrainian SSR, Kiev

    S. É. Umanskii

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  1. S. É. Umanskii
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Translated from Problemy Prochnosti, No. 11, pp. 95–102, November, 1979.

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Umanskii, S.É. Approximate solution of boundary problems of the deformation theory of plasticity. Strength Mater 11, 1306–1316 (1979). https://doi.org/10.1007/BF00767062

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  • DOI: https://doi.org/10.1007/BF00767062

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