journal article·2003-01

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

Valery M. Levin, Juan M. Alvarez-Tostado

International Journal of Fracture· Volume 119· Issue 4
Publisher page

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.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Material Mechanics · Numerical methods in engineering · Rock Mechanics and Modeling

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (5)

Show source-provided references
1. Berryman J.D. (1997) Generalization of Eshelby'sformula for a single ellipsoidal elastic inclusion to poroelasticity and thermoelasticity. Phys. Rev. Let., 79, 1142–114510.1103/PhysRevLett.79.1142 ↗
2. Berryman, J.D. and Milton, G.W. (1991) Exact result for generalized Gassman'sequations in composite porous media with two constituents. Geophysics, 56, 1950–1960.10.1190/1.1443006 ↗
3. Biot M.A. (1962) Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33, 1482–1498.10.1063/1.1728759 ↗
4. Eshelby, J.D. (1957) The determination of the elastic fields of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. A241, 376 396.
5. Norris A. (1992) On the correspondence between poroelasticity and thermoelasticity. J. Appl. Phys. 71, 1138–1141.10.1063/1.351278 ↗