The Tangent Compliance of Staple-fibre Bundles in Tension

Carnaby, G. A.; Curiskis, J.I.

doi:10.1080/00405008708658253

Cited by 9 publications

(2 citation statements)

References 6 publications

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“…In the last three years since we first raised this issue [4], a number of papers have appeared that have improved our understanding of how the unit cell responds in tension [ 2 ] and compression [ 3,8 ] . This understanding includes a prediction [ 3,8 ] of the various Poisson's ratio terms so that algorithms are now available for estimating many of the tangent compliance terms in the general material properties matrix.…”

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confidence: 99%

Theory of the Shear Deformation of Fibrous Assemblies

Pan

Carnaby²

1989

Textile Research Journal

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The initial response of the unit fibrous cell to an externally applied shear stress is assumed to involve both the bending of fiber sections and slippage at contact points. The criterion used to determine whether a contacting fiber will bend the contacted fiber section or whether it will slip along it depends on the relative angles of the two fiber sections to the external stresses. The total proportion of slipping and nonslipping contact points is thus derived using the density function of fiber orientations within the unit fibrous cell. The derived modulus values for shear behavior are related to the moduli derived earlier for compression behavior. The symmetry rules for selected idealized orientation distributions ( e.g., random) of the fibers in the unit cell provide a check on the validity of the derivations.The use of continuum mechanics to model the behavior of assemblies of fibers remains restricted by inadequate knowledge of the constitutive properties of the unit fibrous cell. In the last three years since we first raised this issue [4], a number of papers have appeared that have improved our understanding of how the unit cell responds in tension [ 2 ] and compression [ 3,8 ] . This understanding includes a prediction [ 3,8 ] of the various Poisson's ratio terms so that algorithms are now available for estimating many of the tangent compliance terms in the general material properties matrix.While these recent analyses of tension and compression have been able to draw on a long established legacy of published research dating back at least to the theories of Grosberg [ 5 ] and van Wyk ( I 1 ] , respectively, the same does not apply to shear behavior. Indeed while it has long been recognized that shear between layers of fibers in yarns [ I ] or fabrics [ 5 ] does occur, the theoretical treatment of shear as a continuum strain has received only minimal attention. Where it has been modeled, the shear deformation has been treated as frictional slippage between layers of fibers. As such there has been no consideration of the low-strain response of the assembly under shear stress, no elastic strain energy due to shear has been calculated, and only the inelastic mechanisms associated with catastrophic shear failure ( i.e., massive slippage) have been dealt with.It is cert.ainly true that such simple textile deformations as twisting a yarn [9] or bending a fabric [ 5 ] involve almost immediate shear failure, because the ' essentially parallel fibers slide past each other with almost no restraint in accommodating large deformations of the yarn or fabric. The simplest way of treating this problem is to assume a high initial linear shear stiffness [ 5 J ( e.g., equal to the fiber modulus) up to a small critical shear stress. Thereafter, the assembly may be considered to shear via frictional slippage with no increase in shear stress. The work done against friction must be accounted for in the energy equations, but the tangent compliance in shear for initial shear stresses above the threshold level may in fact be rega...

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confidence: 99%

Theory of the Shear Deformation of Fibrous Assemblies

Pan

Carnaby²

1989

Textile Research Journal

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“…This is the resistance to friction failure for an aligned or unaligned, untwisted assembly of fibres when subjected to tension. This corresponds to the force required to withdraw a single fibre from a sliver, an important parameter in the mechanics of tensile behaviour of twistless slivers and rovings (Smith, 1962;Grosberg, 1963;Carnaby & Curiskis, 1987). The fibres slip past each other depending on their crimp, diameter, length and frictional properties.…”

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Inter-fibre Cohesion Behaviour of New Zealand Wools

Tandon

2015

Research Journal of Textile and Apparel

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Inter-fibre cohesion is regarded as an important property of assemblies, such as slivers, made of wool or any other fibres, with respect to the processing in carding, drawing (gilling) and spinning. In this paper, the results of the multiple regression analyses, and their validation, are presented to show that a strong relationship exists between the sliver cohesion (measured as sliver tenacity and sliver specific energy-to-break in a long-gauge tensile test) and a combination of the standard wool properties, such as bulk, mean fibre length (Barbe), mean fibre diameter and medullation content, used for the objective blend specification of New Zealand wools for marketing and processing.

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A finite element model of mechanical properties of plain weave

Tarfaoui¹,

Akesbi

2001

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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The Tangent Compliance of Staple-fibre Bundles in Tension

Cited by 9 publications

References 6 publications

Theory of the Shear Deformation of Fibrous Assemblies

Theory of the Shear Deformation of Fibrous Assemblies

Inter-fibre Cohesion Behaviour of New Zealand Wools

A finite element model of mechanical properties of plain weave

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