ELLIPTIC ELASTIC INCLUSION IN AN INFINITE ELASTIC PLATE

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Abstract
It is shown that constant stresses at infinity in an elastic plate containing an elliptic inclusion of different material induce constant stresses in the elliptic inclusion, a result similar to the known fact that a uniform two-dimensional electric field will induce in an elliptic dielectric cylinder placed in it a uniform field in the dielectric. It is interesting that similar results should hold in the electric and elastic problems, since the first is essentially a harmonic problem, whilst the second involves biharmonic functions.

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