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math.AP2024
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…
math.AP2024
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…
math.AP2024
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…