4 papers · 1 filter
Faber-Walsh field expansions for the planar conductivity problem with multiple inclusions
Doosung Choi, Mikyoung Lim
We derive an explicit Faber-Walsh representation for the planar conductivity problem with finitely many disjoint inclusions of general shape and independently chosen positive condu…
Analytic asymptotic formulas for effective parameters of planar elastic composites
Daehee Cho, Doosung Choi, Mikyoung Lim
We investigate the effective elastic properties of periodic dilute two-phase composites consisting of an homogeneous isotropic matrix and a periodic array of rigid inclusions. We a…
A matrix formulation of the plane elastostatic inclusion problem via geometric function theory
Daehee Cho, Doosung Choi, Mikyoung Lim
We investigate the two-dimensional elastostatic inclusion problem in an unbounded medium. Building on the recent developments for rigid inclusions \cite{Mattei:2021:EAS} and conduc…
Analytic shape recovery of an elastic inclusion from elastic moment tensors
Daehee Cho, Mikyoung Lim
In this paper, we present an analytic non-iterative approach for recovering a planar isotropic elastic inclusion embedded in an unbounded medium from the elastic moment tensors (EM…