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Investigation of stress state for estimating the greatest stress in structures subject to creep

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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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