The equivalent stresses at calculation of creep rupture of metals under complex stress state (review)
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 128-135

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The criteria of creep rupture of metals under complex stress state are based on conception of equivalent stress $\sigma_e$. The basic attention is gived to determination of dependence of equivalent stress from the main stresses $\sigma_1,\sigma_2,\sigma_3$ and to determination of dependence of rupture time from value $\sigma_e$. The detailed review of dependencies $\sigma_e(\sigma_1,\sigma_2,\sigma_3)$ is described, which were proposed by domestic and foreign scientists. The equivalent stresses $\sigma_e$, which are depended only on main stresses, and $\sigma_e$, which are depended also on the additional constants, are considered separately. By using of statistical methods the formulas for $\sigma_e$ are obtained for various kinds of complex stress states.
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     author = {A. M. Lokoshchenko},
     title = {The equivalent stresses at calculation of creep rupture of metals under complex stress state (review)},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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A. M. Lokoshchenko. The equivalent stresses at calculation of creep rupture of metals under complex stress state (review). Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 128-135. http://geodesic.mathdoc.fr/item/ISU_2009_9_4_a7/