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- W3041334497 abstract "According to the Eshelby conjecture, an ellipse or ellipsoid is the only shape that induces an interior uniform strain under a uniform far-field loading. We extend the Eshelby conjecture to domains of general shape for anti-plane elasticity. Specifically, we show that for each positive integer $N$, an inclusion induces an interior uniform strain under a polynomial loading of degree $N$ if and only if the exterior conformal map of the inclusion is a Laurent series of degree $N$. Furthermore, for the isotropic case, we characterize the shape of an inclusion by only using the first-degree polynomial loading and explicitly solve the interior potential of the inclusion in terms of the Grunsky coefficients." @default.
- W3041334497 created "2020-07-16" @default.
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- W3041334497 date "2018-07-26" @default.
- W3041334497 modified "2023-09-27" @default.
- W3041334497 title "An extension of the Eshelby conjecture to domains of general shape in anti-plane elasticity" @default.
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