Previously, the shear deformation theory which covers general shear deformation composed with biaxial tensile and shearing in finite deformation, has been developed by the authors.
In this theory, the moment for rotating the intersecting angle between warp and weft yarns was characterized by five constants by following linear approximation formula.
As we have no theoretical knowlege about these constants at this stage, it is important to obtain these constants by experimental method.
In this paper, a method for obtaining these constants from yarn measurement is studied. Two yarns are crossovered with each other, and compressible force
Fc is applied at the cross-over point, and the torque
Tr required for changing the intersecting angle φ is measured as a function of φ and
Fc.
Several kinds of samples are measured and it has been confirmed that the linear approximation formula is sufficient for practical calculations using the shear deformation theory.
In above formula,
C1,
C2 and
Tr0 are the constants related to the yarn property which is concerned with some frictional effect on contact area of these yarns accompanied by the change of φ.
C1 represents the pure frictional effect, but
Tr0 and
C2 have more complicated characteristics. The effect of mechanical entanglement of fibres in the contact area may be represented by
Tr0 and
C2.
On the other hand,
C3 and
C4 characterize the elastic behaviour. It was found that
C2 takes very small value compared with the others and was negligible, and also found that the values of
C3 and
C4 measured from this direct method must be corrected for practical use.
Since these constants are obtained experimentally by this method as a yarn property, the mechanical behaviour of fabrics in general shear deformation state can be calculated theoretically.
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