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The strain hardening rotating hollow shaft subject to a positive temperature gradient. (English) Zbl 1140.74473
Summary: Based on Tresca’s yield criterion and the flow rule associated with it, the distribution of stress, strain and displacement in a linearly strain hardening elastic-plastic hollow shaft subject to a positive radial temperature gradient and monotonously increasing angular speed is investigated. Presupposing circular symmetry and plane strain conditions, the problem is accessible to an analytical treatment. It is found that - depending on the temperature difference between the outer and the inner surface - qualitatively different types of solutions may occur, and that such a temperature difference on the one hand reduces the elastic limit angular speed but on the other hand may increase the fully plastic angular speed slightly. The residual stresses after stand-still and subsequent cooling are depicted, too.

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74F05 Thermal effects in solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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