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June 2014 (published: 01.06.2014)
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Investigation of stress state for estimating the greatest stress in structures subject to creep
Fedorova L.A., Malyavko D.P., Eliseev A.M.
The solutions to be represented give analysis of stress state of the structures considered. According to this analysis the greatest stresses in the structures for n=1 (linear-elastic structures) and n=∞(the perfectly plastic solution) are determined. All the solutions are given for different parameters of the structures, different boundary conditions and several values of m (m=1/n). The results are shown graphically. According to the graphs relative stress concentration factor Fm can be determined. As Fm is known, the greatest stress in a structure subject to creep may be estimated without too much difficulty (by linear-elastic analysis) in terms of the applied load and the geometrical parameters of the structure.
It is shown, that if the stress distribution is known in the linear case (n=1), the rate of change of the stresses (and in particular of the greatest stress) with n may be determined from, essentially, a linear-elastic thermal stress problem as the “thermal” strains consist of changes in shape rather than changes in volume.
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creep, bending moment, redial and circumferential stresses, strain, boundary condition.
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