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Article Dans Une Revue Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2017

Eshelby’s problem of a spherical inclusion eccentrically embedded in a finite spherical body

Résumé

Resorting to the superposition principle, the solution of Eshelby's problem of a spherical inclusion located eccentrically inside a finite spherical domain is obtained in two steps: (i) the solution to the problem of a spherical inclusion in an infinite space; (ii) the solution to the auxiliary problem of the corresponding finite spherical domain subjected to appropriate boundary conditions. Moreover, a set of functions called the sectional and harmonic deviators are proposed and developed to work out the auxiliary solution in a series form, including the displacement and Eshelby tensor fields. The analytical solutions are explicitly obtained and illustrated when the geometric and physical parameters and the boundary condition are specified.

Dates et versions

hal-01794685 , version 1 (17-05-2018)

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W.-N Zou, Q.-C. He. Eshelby’s problem of a spherical inclusion eccentrically embedded in a finite spherical body. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017, 473, 20160808 [21 p.]. ⟨10.1098/rspa.2016.0808⟩. ⟨hal-01794685⟩
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