116 citations · 554 across the 66 of their papers we have counts for
4 papers · 1 filter
Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity
Hyeonbae Kang, Sanghyeon Yu
In the region between close-to-touching hard inclusions, the stress may be arbitrarily large as the inclusions get closer. The stress is represented by the gradient of a solution t…
Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions
Hyeonbae Kang, KiHyun Yun
This paper deals with the field enhancement, that is, the gradient blow-up, due to presence of a bow-tie structure of perfectly conducting inclusions in two dimensions. The bow-tie…
A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites
Hyeonbae Kang, Sanghyeon Yu
We prove in a mathematically rigorous way the asymptotic formula of Flaherty and Keller on the effective property of densely packed periodic elastic composites with hard inclusions…
Elastic Neumann-Poincaré operators on three dimensional smooth domains: Polynomial compactness and spectral structure
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
We prove that the elastic Neumann--Poincaré operator defined on the smooth boundary of a bounded domain in three dimensions, which is known to be non-compact, is in fact polynomial…