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Representation of the strength criteria of isotropic materials in two-dimensional invariant space
Authors:I I Gol'denblat  V A Kopnov
Abstract:In addition to principal stress space (sgr) the spaces of the base invariants of the stress tensor (II) and the stress deviator (D) are considered. A correspondence is established between these spaces. The limit surfaces of revolution (of Balandin, Mirolyubov, etc.) are expressed in two-dimensional (II) space in the form of parabolas, and the Mises surface in the form of a straight line in (D) space. It is shown that the invariant spaces (II) and (D) are convenient for analyzing the strength criteria of isotropic materials.Moscow. Translated from Mekhanika Polimerov, No. 2, pp. 276–283, March–April, 1970.
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