Author(s)

A.V. Gusakov, S.V. Lomov & A.N. Mogilny

Abstract

A mathematical model of 3D woven fabric internal structure computes a spatial placement of all yarns within a fabric repeat for the given 3D weave structure (a special coding algorithm is employed) and warp and weft yarns geometrical and mechanical parameters. The principle of minimum energy of a fibrous assembly leads to the prediction of yarn crimp, forces in contacts warp-weft and yarn compression within a fabric. This allows to calculate the porosity (or the fibrous content) for an arbitrary cross-section of a fabric and to produce an image of the cross-section which gives an estimation for filtration abilities of the fabric. The model is implemented in the sof

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