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math.AP2022★ 3 cited
A constrained proof of the strong version of the Eshelby conjecture for the three-dimensional isotropic medium
Tianyu Yuan, Kefu Huang, Jianxiang Wang
Eshelby's seminal work on the ellipsoidal inclusion problem leads to the conjecture that the ellipsoid is the only inclusion possessing the uniformity property that a uniform eigen…
math.AP2021
Counter-examples to the high-order version and strong version of the generalized Eshelby conjecture for anisotropic media
Tianyu Yuan, Kefu Huang, Jianxiang Wang
In this work, we prove that in anisotropic media possessing cubic, transversely isotropic, orthotropic, and monoclinic symmetries, there exist non-ellipsoidal inclusions that can t…