Skip to main content
Log in

Regular integral equations for the second boundary-value problem of the bending of an anisotropic elastic plate

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Two systems of Fredholm equations of the second kind are constructed for the solution of the second boundary-value problem of the bending of an anisotropic plate (a normal bending moment and a generalized shear force are specified on the boundary of the simply-connected domain) under the assumption of validity of the Kirchhoff-Love hypotheses. Correct equilibrium conditions are specified for the examined boundary-value problem.

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. A. Bogan, “On the potential method for the elliptic equation from the anisotropic theory of elasticity,” Sib. Zh. Indust. Mat., 3, No. 2, 29–34 (2000).

    Google Scholar 

  2. K. Rektorys, Variational Methods in Mathematics, Science, and Engineering, Reidel, Dordrecht (1983).

    Google Scholar 

  3. S. G. Lekhnitskii, “Some issues related to the theory of bending of thin plates,” Prikl. Mat. Mekh., 2, No. 2, 181–210 (1938).

    Google Scholar 

  4. Yu. A. Bogan, “Integral Fredholm equations in the two-dimensional anisotropic theory of elasticity,” Sib. Zh. Vychisl. Mat., 4, No. 1, 21–30 (2002).

    Google Scholar 

  5. L. T. Berezhnitskii, M. V. Delyavskii, and V. I. Panasyuk, Bending of Thin Plates with Crack-Type Defects [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  6. I. A. Prusov, Conjugation Method in Plate Theory [in Russian], Izd. Belorus. Univ, Minsk (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 108–119, May–June, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bogan, Y.A. Regular integral equations for the second boundary-value problem of the bending of an anisotropic elastic plate. J Appl Mech Tech Phys 46, 395–404 (2005). https://doi.org/10.1007/s10808-005-0089-2

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-005-0089-2

Key words

Navigation