2 papers
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…
math-ph2021
Solutions to the generalized Eshelby conjecture for anisotropic media: Proofs of the weak version and counter-examples to the high-order and the strong versions
Tianyu Yuan, Kefu Huang, Jianxiang Wang
The Eshelby formalism for an inclusion in a solid is of significant theoretical and practical implications in mechanics and other fields of heterogeneous media. Eshelby's finding t…