### Abstract

Original language | English |
---|---|

Pages (from-to) | 255-262 |

Journal | Mathematics and Mechanics of Solids |

Volume | 21 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2016 |

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### Cite this

*Mathematics and Mechanics of Solids*,

*21*(2), 255-262. https://doi.org/10.1177/1081286515588636

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*Mathematics and Mechanics of Solids*, vol. 21, no. 2, pp. 255-262. https://doi.org/10.1177/1081286515588636

**Solvability of the equivalent inclusion
problem for an ellipsoidal inhomogeneity.** / Freidin, Alexander B.; Kucher, Vladislav A.

Research output

TY - JOUR

T1 - Solvability of the equivalent inclusion problem for an ellipsoidal inhomogeneity

AU - Freidin, Alexander B.

AU - Kucher, Vladislav A.

PY - 2016

Y1 - 2016

N2 - The problem of an elastic ellipsoidal inhomogeneity in an infinite matrix is considered for the case of arbitrary anisotropy. Using the Fourier representation of Hill’s tensor, which we derive directly from the classical Eshelby solution for an ellipsoidal inclusion, and assuming certain conditions on the elasticity tensors, we prove the solvability of the Eshelby equivalent inclusion problem. This justifies a formula for the anisotropic polarization tensor for an ellipsoid

AB - The problem of an elastic ellipsoidal inhomogeneity in an infinite matrix is considered for the case of arbitrary anisotropy. Using the Fourier representation of Hill’s tensor, which we derive directly from the classical Eshelby solution for an ellipsoidal inclusion, and assuming certain conditions on the elasticity tensors, we prove the solvability of the Eshelby equivalent inclusion problem. This justifies a formula for the anisotropic polarization tensor for an ellipsoid

U2 - 10.1177/1081286515588636

DO - 10.1177/1081286515588636

M3 - Article

VL - 21

SP - 255

EP - 262

JO - Mathematics and Mechanics of Solids

JF - Mathematics and Mechanics of Solids

SN - 1081-2865

IS - 2

ER -