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- W2015667504 abstract "The dynamic Eshelby inclusion problem for an ellipsoidal inclusion in a three–dimensional infinite elastic isotropic medium is considered. The dynamic Eshelby tensor is expressed in terms of solutions of the Helmholtz equation (Helmholtz potentials). A compact formulation for the components of the dynamic Eshelby tensor is derived for the inside region of the inclusion. For spheroidal inclusions, one–dimensional integrals similar to the elliptic integrals are obtained. The approach leads to closed–form expressions in cases such as spheres and continuous fibres coinciding with those given in 1990 by Mikata & Nemat–Nasser and in 2002 by Michelitsch et al. by employing other techniques. For the inside region of the inclusion, the static limit is performed in closed form and coincides with Eshelby'classical 1957 result." @default.
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- W2015667504 date "2003-04-08" @default.
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- W2015667504 title "Dynamic Eshelby tensor and potentials for ellipsoidal inclusions" @default.
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- W2015667504 doi "https://doi.org/10.1098/rspa.2002.1054" @default.
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