Abstract
A mathematical model of the mechanics of growing solids has been developed that allows us to retrace the elastic stress-strain state progressing for cylindrical composites in the process of their slow layer-by-layer manufacturing by force winding of elementary material layers reinforced with sufficiently thin fibers in the circumferential direction, with an arbitrary density of their laying and an arbitrary pre-tension force. The obtained analytical relationships enable to set different control problems for a composite layer being formed including those for the characteristics of its contact interaction with the mandrel used.
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