Skip to main content
Log in

On the plane problem of orthotropic quasi-static thermoelasticity

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

The plane displacement boundary value problem of quasi-static linear orthotropic thermoelasticity is discussed. The thermoelastic system on a bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by using an accurate estimate and the contractive mapping principle. Representation of solution of the field equation is obtained, and some solvability results are proved. The results are of both theoretical and numerical interest.

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. H. Begehr and W. Lin, A mixed-contact boundary problem in orthotropic elasticity. In: H. Begehr and A. Jeffrey (eds),Research Notes in Maths, series no. 263. Pitman Publishing Ltd. (1992) pp. 219–239.

  2. R. P. Gilbert and W. Lin, Function theoretic solution to problem of orthotropic elasticity.J. Elasticity 15 (1985) 143–154.

    Google Scholar 

  3. L. Hua, W. Lin and Z. Wu,Second Order Systems of Equations on the Plane. Pitman Publishing Ltd. (1985).

  4. O. A. Ladyzhenskaya,The Boundary Value Problems of Mathematical Physics. Springer, New York (1985).

    Google Scholar 

  5. S. G. Lekhnitskii,Anisotropic Plates. Gordon and Breach, New York (1968).

    Google Scholar 

  6. N. I. Muskhelishvilli,Singular Integral Equations, Holland, Nordhoof (1953).

    Google Scholar 

  7. P. Shi and Y. Xu, Decoupling of the quasi-static system of thermoelasticity on the unit disk.J Elasticity 31 (1993) 209–218.

    Google Scholar 

  8. I. N. Vekua,Generalized Analytic Function. Addison-Wesley (1962).

  9. Y. Q. Zhao, On plane displacement boundary value problems of quasi-static linear thermoelasticity.Applicable Analysis 56 (1995) 117–129.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei, L., Yu-Qiu, Z. On the plane problem of orthotropic quasi-static thermoelasticity. J Elasticity 41, 161–175 (1995). https://doi.org/10.1007/BF00041873

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041873

Mathematics Subject Classifications (1991)

Key words

Navigation