Abstract
In this note we consider the infinitesimal inflation and axial compression of a circular cylindrical tube reinforced by two families of helical fibres. This is a problem of some practical interest, since helically wound reinforcement affords a possible means of constructing pressure vessels and other cylindrical structures requiring strength in the axial and circumferential directions. We show that a particularly simple deformation, and accompanying elastic or elastic-plastic stress field, is possible when the fibres are wound at a certain angle, and advance arguments to suggest that this fibre configuration may be optimal for some applications.
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