On the kröner approach to the strain energy of an incoherent spherical precipitate

Document Type

Letter to the Editor

Publication Date

1-1-1976

Abstract

Comparison of the results of the Kroner approach with the exact results provided by the Eshelby method for the strain energy associated with a spherical precipitate shows a noticeable error in the Kroner approach when the anisotropy of the matrix phase is severe. As a typical example, when the matrix anisotropy ratio is 3-5, the errors are found to be ca. 8-9 and 6‘8% in the compression modulus and strain energy calculations, respectively. It is therefore concluded that higher-order terms, in addition to Kroner’s lower-order terms, must be included when calculating the strain energy associated with an incoherent precipitate if a highly anisotropic matrix is involved and quite accurate results are required. © 1976, Taylor & Francis Group, LLC. All rights reserved.

Publication Title

Philosophical Magazine

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