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Elastoplastic Axisymmetric Stress-Strain State of Laminated Shells Made of Isotropic and Transversely Isotropic Materials with Different Moduli

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Abstract

A method is developed for analysis of the elastoplastic stress-strain state of laminated shells of revolution under axisymmetric loading. The shells are made of isotropic and transversally isotropic materials with different moduli. The method is based on the Kirchhoff-Love hypotheses for the whole laminate, the theory of deformation along paths of small curvature (for isotropic materials), and the theory of elasticity with different tensile and compressive moduli (transversely isotropic materials). The problem is solved by the method of successive approximations. Numerical examples are given

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REFERENCES

  1. G. N. Azarov, “Design of heteromodulus shells by the method of variable elastic parameters,” in: Proc. 12th All-Union Conf. on the Theory of Shells and Plates [in Russian], Vol. 1, Izd. Yerevanskogo Univ., Yerevan (1980), pp. 26–32.

    Google Scholar 

  2. S. A. Ambartsumyan, “Governing equations and relations of heteromodulus anisotropic elasticity,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 3, 51–61 (1969).

  3. M. E. Babeshko, “Axisymmetric elastoplastic stress-strain state of flexible multilayer shells formed from isotropic and orthotropic materials,” Int. Appl. Mech., 29, No.11, 952–958 (1993).

    Article  Google Scholar 

  4. M. E. Babeshko, “Numerical analysis of the elastoplastic state of laminated shells during axisymmetric deformation along slightly curved paths in view of geometrical nonlinearity,” Prikl. Mekh., 32, No.8, 80–86 (1996).

    MATH  Google Scholar 

  5. M. E. Babeshko, “Elastoplastic axisymmetric stress-strain state of laminated transversely isotropic shells,” in: System Technologies: Regional Interuniversity Scientific Collection [in Russian], 4(33), Dnepropetrovsk (2004), pp. 31–38.

    Google Scholar 

  6. M. E. Babeshko and Yu. N. Shevchenko, “Thermoelastoplastic axisymmetric stress-strain state of laminated orthotropic shells,” Int. Appl. Mech., 40, No.12, 1378–1384 (2004).

    Article  Google Scholar 

  7. Ya. M. Grigorenko and A. T. Vasilenko, Theory of Shells of Variable Stiffness, Vol. 4 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  8. A. A. Zolochevskii, “Theory of cylindrical shells of anisotropic materials of different moduli,” Int. Appl. Mech., 22, No.3, 230–235 (1986).

    Google Scholar 

  9. S. G. Lekhnitskii, Anisotropic Elasticity Theory [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  10. Yu. N. Shevchenko, M. E. Babeshko, and R. G. Terekhov, Thermoviscoelastoplastic Processes of Complex Deformation of Structural Members [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  11. M. E. Babeshko, “Thermoelastoplastic state of flexible laminated shells under axisymmetric loading along various plane paths,” Int. Appl. Mech., 39, No.2, 177–184 (2003).

    Article  MATH  Google Scholar 

  12. M. E. Babeshko and Yu. N. Shevchenko, “Thermoelastoplastic stress-strain state of laminated transversely isotropic shells under axisymmetric loading,” Int. Appl. Mech., 40, No.8, 908–915 (2004).

    Article  Google Scholar 

  13. A. Z. Galishin, “Analysis of the axisymmetric thermoelastoplastic state of branched laminated transversally isotropic shells,” Int. Appl. Mech., 36, No.4, 538–544 (2000).

    MATH  Google Scholar 

  14. A. Z. Galishin and Yu. N. Shevchenko, “Determining the axisymmetric, geometrically nonlinear, thermoelastoplastic state of laminated orthotropic shells,” Int. Appl. Mech., 39, No.1, 56–63 (2003).

    Article  Google Scholar 

  15. R. M. Jones, “Stress-strain relations for materials with different moduli in tension and compression,” AIAA J., 15, No.1, 16–23 (1977).

    Google Scholar 

  16. Yu. N. Shevchenko and M. E. Babeshko, “The thermoviscoelastoplastic state of shells of revolution under axisymmetric deformation along various flat paths,” Int. Appl. Mech., 37, No.8, 967–997 (2001).

    Article  Google Scholar 

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  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    M. E. Babeshko & Yu. N. Shevchenko

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  1. M. E. Babeshko
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  2. Yu. N. Shevchenko
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 88–96, August 2005.

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Babeshko, M.E., Shevchenko, Y.N. Elastoplastic Axisymmetric Stress-Strain State of Laminated Shells Made of Isotropic and Transversely Isotropic Materials with Different Moduli. Int Appl Mech 41, 910–916 (2005). https://doi.org/10.1007/s10778-005-0159-4

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  • DOI: https://doi.org/10.1007/s10778-005-0159-4

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