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math.NA2018★ 1 cited
Geometric multipole expansion and its application to semi-neutral inclusions of general shape
Doosung Choi, Junbeom Kim, Mikyoung Lim
This paper presents a new concept of geometric multipole expansion for the conductivity or anti-plane elasticity problem in two dimensions by using the Faber polynomials. As an app…
math-ph2018
An extension of the Eshelby conjecture to domains of general shape in anti-plane elasticity
Doosung Choi, Kyoungsun Kim, Mikyoung Lim
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 conj…