Skip to main content
Log in

Asymptotics of the eigenvalues and eigenfunctions in cubically anisotropic thermoelastic bodies with slits

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Within the framework of the uncoupled thermoelasticity, using G. Weyl’s method, asymptotic formulas for eigenvalues and eigenfunctions of the first boundary-value problem have been obtained for cubically anisotropic bodies limited by a finite number of closed and nonclosed unintersecting Lyapunov surfaces.

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. Yu. M. Kolyano, Methods of Determining the Thermal Conductivity and Thermoelasticity of an Inhomogeneous Body [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  2. Ya. B. Lopatinskii, The Theory of General Boundary Problem. Selected Papers [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  3. Mar. D. Martynenko, Some boundary-value problems for elliptic systems, Dokl. Akad. Nauk USSR, Ser. A, No. 8, 699–702 (1968).

  4. V. I. Smirnov, A Course of Higher Mathematics [in Russian], Vol. 4, Pt. 2, Nauka, Moscow (1981).

    Google Scholar 

  5. A. B. Drapkin, The asymptotics of eigenvalues and functions of the Dirichlet-type problems for a single class of elliptic systems, Naukovi Zap. L’viv Univ., Issue 8, 134–147 (1957).

  6. H. Weyl, Selected Papers. Mathematics, Theoretical Physics [Russian translation], Nauka, Moscow (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 5, pp. 1010–1015, September–October, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynenko, I.M. Asymptotics of the eigenvalues and eigenfunctions in cubically anisotropic thermoelastic bodies with slits. J Eng Phys Thermophy 81, 1055–1060 (2008). https://doi.org/10.1007/s10891-009-0107-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-009-0107-y

Keywords

Navigation