The Behavior of Fabrics in Shear

Spivak, Steven M.; Treloar, L. R. G.

doi:10.1177/004051756703701206

Cited by 11 publications

(1 citation statement)

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“…In a recent paper by Spivak and Treloar [1] it was found that the hysteresis during shearing of a plainweave fabric made from mono-filament nylon yarn increased with the angle of deformation through which the cloth was sheared. It was found that for an angle of approximately 0.075 radians the hysteresis was fully established.…”

Section: July 2 1968mentioning

confidence: 98%

The Behavior of Fabrics in Shear

Grosberg

Park

1968

Textile Research Journal

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1205 combination of recrystallization in the amorphous and decrystallization in the crystallite regions, due to the swill:ng effect of aqueous caustic soda solution on cellulosic material. ' The mechanical properties of Lilienfeldt-type rayon changed because of the treatment with aqueous caustic soda solution, that is. conditioned strength decreased, while elongation and knot strength increased; these mechanical properties closely resemble those of ordinary rayon.It may be concluded from the above results that chartion of the fiber structure by this method is sufficient establish a relationship between the fine structure and the mechanical properties in regenerated cellulosic fiber.In a recent paper by Spivak and Treloar [1] it was found that the hysteresis during shearing of a plainweave fabric made from mono-filament nylon yarn increased with the angle of deformation through which the cloth was sheared. It was found that for an angle of approximately 0.075 radians the hysteresis was fully established. This phenomenon was not surprising from the theoretical analysis of the initial shear behavior given by ourselves [2,3], but the size of the angle was very much larger than calculated from this theory. In fact, Spivak and Treloar calculated that the angle should be only 1.5 X 10--l radians from our theoretical analysis. They. therefore, proposed that in the, slipping region the points of contact could have been deformed to such an extent that. while no slipping occurred, a rotation of up to 0.075 radians could occur. The purpose of this letter is to discuss this suggestion and to suggest alternative explanations for the observed behavior.From a consideration of the contact area, size of the contact, coefhcient of friction between monofilaments etc., one could deduce that the contact might be replaced by a solid rod joining the mono6laments. However, the calculated length of such a rod is much too large, and the consideration of multiple rods also leads to untenable conclusions. Thus, other mechanisms must be conceived.It is difficult to use our theoretical equations to analyze Spivak and Treloar's data as given in their Figure 6. This is because our theory predicts the shape of the initial curve for small loads, and also the initial curve after reducing the load from its maximum. The problem posed by Spivak and Treloar can, however, be considered by examining the discrepancies between the unloading curve of their Figure 3a and our theoretical predictions.Taking the origin of our curve as the point of maximum shear and inverting their Figure 3a we obtain the curve shown in Figure 1. Our analysis predicts that the ' initial portion OA of this curve should be given by for a square, set fabric, where 0 is the shear angle, F is the force on the clamps, L is the length of the clamp; ' B is the rigidity modulus of the monofilament, t is the modular length of yarn in each repeat of the cloth, d. is the contact length, and a is a parameter varying between 0 and, 1. This parameter can be obtained from the equation I wher...

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Section: July 2 1968mentioning

confidence: 98%