Abstract
A lower bound, depending upon a restricted virtual displacement system, is found for the volume of material required by thin shells, which carry given loads, including hydrostatic pressure, to given supports. The loads are carried by membrane stress-resultants and Tresca’s safety criterion is satisfied. Sufficient conditions for the attainment of the bound lead to optimum designs in some simple cases, namely those for which the optimum structure is indeed a thin shell and not a three-dimentional continuum.
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References
Michell, A.G.M., (1904). ‘The limit of economy of material in frame structures’. Phil. Mag. 8, (4).
Hemp, W.S., (1973). Optimum Structures. Clarendon Press, Oxford.
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© 1988 Kluwer Academic Publisher
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Hemp, W.S. (1988). A Michell Type Criterion for Shells. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_16
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DOI: https://doi.org/10.1007/978-94-009-1413-1_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7132-1
Online ISBN: 978-94-009-1413-1
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