Summary
Optimal structural design of cylindrical shells under overall bending, torsion, tension and internal pressure in creep conditions is considered. The material is assumed to be governed by the Norton-Odqvist nonlinear steady creep law. Minimal weight of the shell is the design objective, radius and wall thickness are design variables, and the constraint refers to brittle creep rupture as described by the Kachanov-Sdoburev hypothesis. Elimination of circumferential bending in the wall results in a circular profile. The condition of uniform creep strength determines the thickness distribution, whereas the optimal radius is determined numerically.
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References
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Życzkowski, M., Rysz, M. (1986). Optimization of Cylindrical Shells Under Combined Loading Against Brittle Creep Rupture. In: Bevilacqua, L., Feijóo, R., Valid, R. (eds) Inelastic Behaviour of Plates and Shells. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82776-1_19
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DOI: https://doi.org/10.1007/978-3-642-82776-1_19
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