Skip to main content
Log in

Integral equation methods in plane asymmetric elasticity

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

The boundary integral equation method is used to solve the interior and exterior Dirichlet, Neumann and mixed problems of plane micropolar elasticity. In the exterior case, a specific far-field pattern for the displacements and microrotation is introduced without which the classical scheme fails to work. Finally, we discuss the direct method and establish a connection with results obtained previously.

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. D. Iesan, Existence theorems in the theory of micropolar elasticity. Int. J. Engng. Sci. 8 (1970) 777–791.

    Google Scholar 

  2. P. Schiavone, On Existence theorems in the theory of extensional motions of thin micropolar plates. Int. J. Engng. Sci. 27 (1989) 1129–1133.

    Google Scholar 

  3. C. Ru and P. Schiavone, On Constanda's matrix of non-uniqueness in a theory of plates in asymmetric elasticity. Q. Appl. Math. (in press).

  4. A.C. Eringen, Theory of micropolar plates. J. Appl. Math. Phys. 18 (1967) 12–30.

    Google Scholar 

  5. C. Constanda, Some comments on the integration of certain systems of partial differential equations in continuum mechanics. J. Appl. Math. Phys. 29 (1978) 835–839.

    Google Scholar 

  6. V.D. Kupradze et al., Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity. North-Holland, Amsterdam (1979).

    Google Scholar 

  7. C. Constanda, A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation. Longman Scientific & Technical, Harlow (1990).

    Google Scholar 

  8. C. Constanda, Integral equations of the first kind in plane elasticity. Q. Appl. Math. (in press).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schiavone, P. Integral equation methods in plane asymmetric elasticity. J Elasticity 43, 31–43 (1996). https://doi.org/10.1007/BF00042453

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00042453

Key words

Mathematics Subject Classifications (1991)

Navigation