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Continuous accretion of a composite cylinder

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Summary

A new model is derived for winding of a composite thick-walled cylinder with finite strains. Continuous growth of a cylinder is treated as a limit of successive accretion of built-up portions (thin-walled shells) consisting of a fiber bundles and resin. Due to preload of fibers, a gradient of pressure arises in the cylinder which causes resin flow. Nonlinear partial differential equations are developed which permit stresses and displacements in a wound cylinder to be determined with account for the material accretion and resin flow. At infinitesimal strains, these equations are reduced to a linear Volterra integral equation for pressure on mandrel. This equation is solved numerically to analyze the effect of material and structural parameters on stresses in a wound cylinder.

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Author notes

  1. A. D. Drozdov

    Present address: Institute for Industrial Mathematics, Ben-Gurion University of the Negev, 22 Ha-Histadrut Street, 84213, Be'ersheba, Israel

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    1. A. D. Drozdov
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    Drozdov, A.D. Continuous accretion of a composite cylinder. Acta Mechanica 128, 117–135 (1998). https://doi.org/10.1007/BF01463163

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    • DOI: https://doi.org/10.1007/BF01463163

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