Skip to main content
SpringerLink
Log in

Eshelby's formula for an ellipsoidal elastic inclusion in anisotropic poroelasticity and thermoelasticity

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Eshelby's formula that relates the strain inside of an ellipsoidal inclusion in an unbounded elastic medium to the uniform strain imposed at infinity is generalized to the cases of poroelastic and thermoelastic materials. This result holds for an arbitrary anisotropy of the inclusion and of the host material.

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

  • Berryman J.D. (1997) Generalization of Eshelby'sformula for a single ellipsoidal elastic inclusion to poroelasticity and thermoelasticity. Phys. Rev. Let., 79, 1142–1145

    Google Scholar 

  • Berryman, J.D. and Milton, G.W. (1991) Exact result for generalized Gassman'sequations in composite porous media with two constituents. Geophysics, 56, 1950–1960.

    Google Scholar 

  • Biot M.A. (1962) Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33, 1482–1498.

    Google Scholar 

  • Eshelby, J.D. (1957) The determination of the elastic fields of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. A241, 376 396.

    Google Scholar 

  • Norris A. (1992) On the correspondence between poroelasticity and thermoelasticity. J. Appl. Phys. 71, 1138–1141.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto Mexicano del Petroleo, Eje Central Lazaro Cardenas No 152, Apdo. Postal 14-805, Col. San Bartolo Atepehuacan, C.P, 07730, Mexico, D.F.

    Valery M. Levin & Juan M. Alvarez-Tostado

Authors
  1. Valery M. Levin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Juan M. Alvarez-Tostado
    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

Levin, V.M., Alvarez-Tostado, J.M. Eshelby's formula for an ellipsoidal elastic inclusion in anisotropic poroelasticity and thermoelasticity. International Journal of Fracture 119, L77–L82 (2003). https://doi.org/10.1023/A:1024907500335

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024907500335

Keywords

Search

Navigation