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Compressibility and shear compliance of spheroidal pores: Exact derivation via the Eshelby tensor, and asymptotic expressions in limiting cases

David, Emmanuel; Zimmerman, Robert W.


We explicitly calculate the elastic compliance of a spheroidal pore in an isotropic solid, starting from Eshelby's tensor. The exact expressions found for the pore compressibility, P, and the shear compliance, Q, are valid for any value of the aspect ratio α, from zero (cracks) to infinity (needles). This derivation clarifies previous work on this problem, in which different methods were used in different ranges of α, or typographical errors were present. The exact expressions obtained for P...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: International Journal of Solids and Structures
DOI: 10.1016/j.ijsolstr.2010.11.001


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