Dependence of Creep-Rupture Lifetime for Rods under Tension in an Aggressive Environment on the Shape of a Single-Cell Cross-Sectionстатья
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Аннотация:Abstract—The long-term strength of rods under tension in an aggressive environment is in-vestigated. We consider rods of various shapes of a single-cell cross-section (circle, square, andrectangles with different aspect ratios), provided that the areas of these cross-sections are equal.To determine the level of inclusions from aggressive environment into the rod at different timemoments, approximate diffusion equations based on the motion of diffusion fronts from the rodsurface are used. The high accuracy of the obtained approximation is shown. To assess the influenceof an aggressive environment on long-term strength, the Yu. N. Rabotnov kinetic theory with twostructural parameters (material damage and concentration of environment elements in the rodmaterial) is used. The dependence of the time to rupture for the rods with various cross-sectionshapes under the same level of tensile stress is obtained. It is shown that the time to rupture for arod with square cross-section under the indicated conditions exceeds the time to rupture for a rodwith circular cross-section. In the case of rods with the same cross- section shape, the relation of thecross-section perimeter to time to rupture for the rod is considered. The minimum time to rupturefor the considered rods is observed for rods of rectangular cross-section with the smallest thickness.
Keywords: tension, cross-section shape, long-term strength, aggressive environment, diffu-sion equation, integral average concentration, damage.