Skip to main content
Log in

Axisymmetric thermoviscoelastoplastic state of thin laminated shells made of a damageable material

  • Published:
International Applied Mechanics Aims and scope

Abstract

A technique for the determination of the axisymmetric thermoviscoelastoplastic state of laminated thin shells made of a damageable material is developed. The technique is based on the kinematic equations of the theory of thin shells that account for transverse shear strains. The thermoviscoplastic equations, which describe the deformation of a shell element along paths of small curvature, are used as the constitutive equations. The equivalent stress that appears in the kinetic equations of damage and creep is determined from a failure criterion that accounts for the stress mode. The thermoviscoplastic deformation of a two-layer shell that models an element of a rocket engine nozzle is considered as an example

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.

Similar content being viewed by others

References

  1. V. A. Bazhenov, A. I. Gulyar, and S. O. Piskunov, “Modeling creep and continuous fracture process zones in spatial prismatic bodies,” Int. Appl. Mech., 41, No. 9, 1016–1030 (2005).

    Article  Google Scholar 

  2. A. V. Belov, “Creep failure of a nonuniformly heated, rotating, conical shell of variable stiffness,” in: Proc. 14th Sci. Conf. of Young Scientists of Inst. Mechanics AS USSR [in Russian], Pt. 2, No. 5165-V89, dep. VINITI 2.08.89, Kyiv (1989), pp. 226–230.

  3. A. V. Belov, “Elastoplastic stress-strain state of axisymmetrically loaded shells of revolution made of a material damageable under creep,” Manuscript No. 1456-UK89, dep. at UkrNIINTI 81.05.89, Inzh. Stroit. Inst., Kyiv (1989).

    Google Scholar 

  4. A. V. Burlakov, G. I. L'vov, and O. K. Morachkovskii, Stress Rupture of Shells [in Russian], Vyshcha Shkola, Kharkov (1981).

    Google Scholar 

  5. A. Z. Galishin, “Procedure of determining creep and creep-rupture strength parameters for isotropic materials under nonisothermal loading strength of materials,” Strength of Materials, 36, No. 4, 345–352 (2004).

    Article  Google Scholar 

  6. A. Z. Galishin, “Determining the axisymmetric geometrically nonlinear thermoviscoelastoplastic state of laminated shells by the theory of deformation along paths of small curvature,” Int. Appl. Mech., 39, No. 7, 848–855 (2003).

    Article  Google Scholar 

  7. A. Z. Galishin, “Determining the thermoviscoplastic state of shells of revolution subject to creep damage,” Int. Appl. Mech., 40, No. 5, 537–545 (2004).

    Article  Google Scholar 

  8. A. Z. Galishin, V. A. Merzlyakov, and Yu. N. Shevchenko, “Application of the Newton method for calculating the axisymmetric thermoelastoplastic state of flexible laminar branched shells using the shear model,” Mech. Comp. Mater., 37, No. 3, 189–200 (2001).

    Article  Google Scholar 

  9. Ya. M. Grigorenko and A. T. Vasilenko, Static Problems for Anisotropic Inhomogeneous Shells [in Russian], Nauka, Moscow (1992).

    Google Scholar 

  10. Yu. N. Rabotnov, Creep of Structural Members [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  11. V. I. Feodos'ev and G. B. Sinyarev, An Introduction to Rocket Technology [in Russian], Oborongiz, Moscow (1956).

    Google Scholar 

  12. Yu. N. Shevchenko and I. V. Prokhorenko, Theory of Elastoplastic Shells under Nonisothermal Loading, Vol. 3 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1981).

    Google Scholar 

  13. Yu. N. Shevchenko and R. G. Terekhov, Constitutive Equations of Thermoviscoplasticity [in Russian], Naukova Dumka, Kyiv (1982).

    Google Scholar 

  14. Yu. N. Shevchenko, R. G. Terekhov, N. S. Braikovskaya, and S. M. Zakharov, “Failure processes of a body element as a result of creep-induced material damage,” Int. Appl. Mech., 30, No. 4, 264–271 (1994).

    Article  Google Scholar 

  15. H. Altenbach, “Topical problems and applications of creep theory,” Int. Appl. Mech., 39, No. 6, 631–655 (2003).

    Article  MathSciNet  Google Scholar 

  16. H. Altenbach, O. Morachkovsky, K. Naumenko, and A. Sychov, “Geometrically nonlinear bending of thin-walled shells and plates under creep-damage conditions,” Arch. Appl. Mech., 67, 339–352 (1997).

    Article  MATH  Google Scholar 

  17. M. E. Babeshko and Yu. N. Shevchenko, “Axisymmetric thermoelastoplastic stress-strain state of transversely isotropic laminated shells,” Int. Appl. Mech., 42, No. 6, 669–676 (2006).

    Article  Google Scholar 

  18. Yu. I. Lelyukh and Yu. N. Shevchenko, “On finite-element solution of spatial thermoviscoelastoplastic problems,” Int. Appl. Mech., 42, No. 5, 507–515 (2006).

    Article  Google Scholar 

  19. Yu. N. Shevchenko, R. G. Terekhov, and N. N. Tormakhov, “Constitutive equations for describing the elastoplastic deformation of elements of a body along small-curvature paths in view of the stress mode,” Int. Appl. Mech., 42, No. 4, 421–430 (2006).

    Article  Google Scholar 

  20. Yu. N. Shevchenko, R. G. Terekhov, and N. N. Tormakhov, “Elastoplastic deformation of elements of an isotropic solid along paths of small curvature: Constitutive equations incorporating the stress mode,” Int. Appl. Mech., 43, No. 6, 621–630 (2007).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika, Vol. 44, No. 4, pp. 87–100, April 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Galishin, A.Z. Axisymmetric thermoviscoelastoplastic state of thin laminated shells made of a damageable material. Int Appl Mech 44, 431–441 (2008). https://doi.org/10.1007/s10778-008-0055-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-008-0055-9

Keywords

Navigation