Abstract
An extension of earlier work by Becker and Mollick is presented,1–3 in which the maximum internal pressure which a compound cylinder of fixed internal and external radii can sustain for a given yield stress and for a specified amount of elastic-plastic deformation is sought. The analysis assumes an incompressible material, generalized plane strain and adopts the Tresca yield criterion.By suitable adjustment of the radii of each cylinder it is found possible to increase the internal pressure which can be sustained; the maximum is attained when all the cylinders yield to an equal linear percentage of their thickness.Optimum solutions for the internal pressures are presented for predetermined linear percentages of plastic yield in all cylinders, for several compound cylinders.
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