Skip to main content
Log in

The thermoelastoplastic computation of the stressed state of shells of rotation under nonaxisymmetric heating taking account of secondary plastic deformations

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

The problem is solved in a geometrically linear formulation in the context of the Kirchhoff-Love hypothesis taking account of the temperature dependence of the mechanical characteristics of the material. We use the linearized relations of the theory of small curvature processes. Using a numerical example we study the influence of the loading history and the effect of secondary plastic deformations on the stressed state of a shell of revolution whose meridian has a complicated shape.

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

Literature cited

  1. N. L. Belevtsova, “The thermoelastoplastic stressed state of shells of revolution under nonaxisymmetric loading taking account of the loading history,”Prikl. Mekh.,18, No. 7, 117–120 (1982).

    Google Scholar 

  2. Ya. M. Grigorenko and A. T. Vasilenko,Theory of Shells of Variable Stiffness [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  3. V. A. Merzlyakov, “Computation of the nonstationary temperature fields in thin shells of revolution under nonaxisymmetric heating,”Probl. Prochn, No. 2, 81–84 (1982).

    Google Scholar 

  4. V. A. Merzlyakov, “A study of the kinetics of the thermoelastoplastic stress-deformed state in thin shells of revolution under nonaxisymmetric heating,” in:Proc. 9th Conf. Young Scholars [in Russian], Inst. Mech. Akad. Sci. Ukr. SSR, Kiev (1982), pp. 175–180.

    Google Scholar 

  5. Yu. N. Shevchenko and I. V. Prokhorenko,Theory of Elastoplastic Shells under Nonisothermal Loading Processes [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  6. Yu. N. Shevchenko and R. G. Terekhov,The Physical Equations of Thermoviscoplasticity [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

Download references

Authors

Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 77–80.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Merzlyakov, V.A. The thermoelastoplastic computation of the stressed state of shells of rotation under nonaxisymmetric heating taking account of secondary plastic deformations. J Math Sci 62, 2573–2576 (1992). https://doi.org/10.1007/BF01099152

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099152

Keywords

Navigation