Skip to main content
SpringerLink
Log in

On the solvability of physically nonlinear problems of Thermoelasticity

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We study the problem of existence and uniqueness of generalized solutions of nonlinear vector boundary-value problems arising in the physically nonlinear theory of thermoelasticity. We prove the convergence of iteration processes in the space W 1 2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Il’yushin, Plasticity [in Russian] Gostekhizdat, Moscow 1948.

    Google Scholar 

  2. G. Kauderer, Nonlinear Mechanics [Russian translation] Inostrannaya Literatura, Moscow 1961.

    Google Scholar 

  3. G. N. Komarov, Physically Nonlinear Problem of Thermoelasticity for Axisymmetric Deformed Multilayer Cylinder [in Russian], Preprint No. 94.30, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1994).

    Google Scholar 

  4. S. L. Sobolev, Some Applications of Functional Analysis to Mathematical Physics [in Russian] Gostekhizdat, Moscow-Leningrad 1950.

    Google Scholar 

  5. I.I. Vorovich and Yu. P.Krasovskii, “On the method of elastic solutions,” Dokl. Akad. Nauk SSSR, 126, No. 4, 247–254 (1959).

    Google Scholar 

  6. D. L. Bykov, “On some methods for the solution of problems in the theory of plasticity,” in: Elasticity and Nonelasticity [in Russian], Vol. 4, Moscow University, Moscow (1975), pp. 96–107.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    G. N. Komarov

  2. Kabardino-Balkaria University, Nalchik, Russia

    M. M. Oshkhunov

Authors
  1. G. N. Komarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. M. Oshkhunov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Komarov, G.N., Oshkhunov, M.M. On the solvability of physically nonlinear problems of Thermoelasticity. Ukr Math J 48, 1074–1078 (1996). https://doi.org/10.1007/BF02390964

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02390964

Keywords

Search

Navigation