1956 Volume 12 Issue 12 Pages 877-886
This paper presents an attempt to derive an expression for the force-extension curve of the sliverlike fibre system. In theoretical treatment, it is assumed that all fibres (mean length of l0, mean diameter of b0, density of p0, Young's modulus of εf, Poisson's ratio of 0 and coefficient of friction of f) are parallel to the long axis of the sliver, and are constructed to somewhat loosely assembled sliver with density of _??_0 and with cross section of A0. Further assumption is that extension of sliver, γ can be simultaneously attributed to deformation of the elementary fiber, e, and mutual slippage between the centres of two neighboring fibers, _??_. By the application of the principle of double elasticity to the deformation of this system in which Young's modulus, E0, Poission's ratio ∑0 are given by the equations of force-extension curves of sliver-like system for various gauge length L0, are derived in the following:
In the experimental procedure, force-extension curves for the sliver of crimped viscose staple fibre were measured using inclined constant-rate of loading tensile testing machine. Numerical data of stress against strain for various gauge length are found to conform reasonably well to thetheoretical relationship. So the values of fibre constants and sliver parameters have been calculated from the data. These calculated values agreed fairly well with values which had been measured independently.
