Elastic parameters of the body weakened by the elliptical voids
Theoretical and applied mechanics, Tome 18 (1992) no. 1, p. 119

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In this paper, we study a more general method for obtaining elastic parameters for materials with small elliptical holes. Using the examples of a circular hole and a crack, it is shown that these special cases are obtained from the derived more general solution. Two methods are used in the work: Taylor and self-consistency. In the first one, the interaction between the holes is neglected, while in the second one, the "weak interaction" so wound is used. The paper shows that both methods for a small concentration of holes give satisfactory results.
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     author = {Dragoslav \v{S}umarac},
     title = {Elastic parameters of the body weakened by the elliptical voids},
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Dragoslav Šumarac. Elastic parameters of the body weakened by the elliptical voids. Theoretical and applied mechanics, Tome 18 (1992) no. 1, p. 119 . http://geodesic.mathdoc.fr/item/TAM_1992_18_1_a8/