Axially symmetric deformations of fibre-reinforced cylinders

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Abstract

General solutions are obtained for boundary-value problems giving axially symmetric deformations of "ideal" fibre-reinforced cylinders. The cylinders are hollow, thick-walled and elastic, and are continuously reinforced throughout by two families of helical fibres making an angle ±ø with the axis of symmetry. We consider traction boundary-value problems and in particular obtain two fundamental solutions corresponding to axial and radial concentrated loadings. The theory is applied to the problem of inflation of the cylinder under uniform internal pressure. © 1980, by Academic Press Inc. (London) Ltd.

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Moss, R. L., Rogers, T. G., & Spencer, A. J. M. (1980). Axially symmetric deformations of fibre-reinforced cylinders. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 26(1), 21–38. https://doi.org/10.1093/imamat/26.1.21

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