Geodesic
Traction free elliptical hole under uniform stress at infinity
Theoretical and applied mechanics, Tome 12 (1986) no. 1, p. 107
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In this work, the infinitesimal plane analysis of the displacement and stress field of an infinitely large elastic isotropic plate, which has an elliptical stress-free opening, is approximated by the complex stress function. The plate is under a uniform tension at infinity. This problem is solved with given values of the complex stress function on the inner and outer edges, by a conformal mapping of the elliptical domain onto a circle with explicit transformations and with power series expansion of the complex potential. 
@article{TAM_1986_12_1_a11,
     author = {C. Perdikis},
     title = {Traction free elliptical hole under uniform stress at infinity},
     journal = {Theoretical and applied mechanics},
     pages = {107 },
     year = {1986},
     volume = {12},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1986_12_1_a11/}
}
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C. Perdikis. Traction free elliptical hole under uniform stress at infinity. Theoretical and applied mechanics, Tome 12 (1986) no. 1, p. 107 . http://geodesic.mathdoc.fr/item/TAM_1986_12_1_a11/