Use of Composite-bundle Theory to Predict Tensile Properties of Yarns<sup>∗</sup>

Vas, László Mihály; Császi, F.

doi:10.1080/00405009308658977

Cited by 13 publications

(32 citation statements)

References 5 publications

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“…Model parameters, such as E 0 , E 1 , η 0 , η 1 , ε c and ε f 0 can be calculated from Equation (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17). If σ 0 is known E 0 can be determined from Equation (8) and solving the Equation (18) τ 0 can be obtained: (18) and from Equation (6) η 0 can be calculated.…”

Section: Methods Of Determining the Model Parametersmentioning

confidence: 99%

“…67 Vas et al -eXPRESS Polymer Letters Vol.3, No.2 (2009) (19) Equation (20) is given by expressing E 1 form Equation (17) and substituting into Equation (16) and taking into consideration that T p = t i+1 -t i : (20) Solving Equation (20) τ 1 is obtained, then from Equation (15) and (17) η 1 and E 1 can be calculated respectively. Finally, the negative strain (ε c ) stored as crimping or loosening in the fiber cells can be calculated in the Equation (21):…”

Section: Methods Of Determining the Model Parametersmentioning

confidence: 99%

“…It means that the molecular chains in the amorphous phase assemble into micro-bundles in front of the deformation zones forming voids, some of which may develop into macro-cavities. Amorphous chains can be considered as part of an EH type fibre bundle [17,18] consisting of crimped fibres which are perfectly flexible and do not transmit tensile force while being crimped (Figure 4). It is assumed that the EH bundle cell is enclosed into a rigid box which remains intact until exposed to a critical force level.…”

Section: Mechanical Modelmentioning

confidence: 99%

“…Fibres belonging to the same class form a partial bundle, a so-called fibre bundle cell. In this article a pre-stressed, breaking fibre bundle (so-called EH bundle) is used [17,18], with independent fibres, the strings defined by the clamping points are well ordered, but the individual fibres may be either pre-stressed with a statistically variable ε 0 elongation (ε 0 > 0), or may be loose, i.e. crimped (-1 < ε 0 < 0).…”

Section: Introductionmentioning

confidence: 99%

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Modelling tensile force oscillation during the tensile test of PET specimens

Vas¹,

Ronkay²,

Czigány³

2009

Express Polym. Lett.

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Abstract. Force oscillation occurring during the tensile testing of poly(ethylene terephthalate) (PET), resulting in periodical cavitation of the test specimens, has been studied. A mathematical model has been developed to describe the phenomenon, wherein special fibre bundles are assigned to the amorphous molecular chains. In order to model the local periodical transformations and the rate dependent viscoelastic behaviour the coupled fibre bundle cells were supplemented with a twoelement Maxwell model. Using the parameters determined from the measurements the model was compared to the measured force-elongation diagrams and it has been concluded that the simple model can be well used to describe the phenomenon.

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Section: Methods Of Determining the Model Parametersmentioning

confidence: 99%

Section: Methods Of Determining the Model Parametersmentioning

confidence: 99%

Section: Mechanical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modelling tensile force oscillation during the tensile test of PET specimens

Vas¹,

Ronkay²,

Czigány³

2009

Express Polym. Lett.

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“…Based on the fiber flow theory [1,3,4,10] and the method of fiber-bundle-cells developed by Vas and co-workers [18,20,22,23,32,33], this study aims at developing new statistical models and describing the breaking process of fibrous structures up to total damage, as well as finding simple formulas for the relationship between the tensile strength and the fiber length with special attention to the constant fiber length.…”

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confidence: 99%

Strength of Unidirectional Short Fiber Structures as a Function of Fiber Length

Vas

2006

Journal of Composite Materials

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The strength of super-oriented polymer fibers or unidirectional short fiber composites strongly depends on the length of the molecule chains or the reinforcing fibers, respectively. A simple statistical model is developed based on the theory of fiber flows and the strength of the structure and its dependence on fiber length are determined in case of fibers broken or damaged owing to parting rigidly from the environment simultaneously. Later, two new special and modified versions of the so-called ES-bundle and one of the idealized statistical fiber-bundlecells developed earlier, are introduced and applied to model the breaking process of the fibrous structure at different damage modes and its dependence on the fiber length is analyzed. In case of constant fiber length, a simple analytical relationship between the mean tensile strength and the fiber length is obtained which is valid for all the cases discussed. On the basis of the results, formulas are developed to estimate the strength of short fiber composites as a function of fiber length and fiber content, as well as to model the effect of the reduction in the fiber adhesion in case of a very small matrix content. The practical applicability of the results is demonstrated by identifying the relationship between tensile strength and molecule mass of PP fibers.

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Statistical Modeling of Unidirectional Fibrous Structures

Vas

2006

Macromolecular Symposia

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Some textiles such as slivers, rovings, yarns, and highly oriented polymer fibers as well as the reinforcing structure of unidirectional composites have a kind of unidirectional or quasi‐unidirectional fibrous structures. The statistical properties of their structure and strength can be modeled by using idealized fiber bundles as model elements. In this study the tensile test process of unidirectional short fiber structures is modeled for different damage types using the instantaneous fracture model and special idealized fiber bundles for gradual damages such as fiber breakage and fiber slippage. Constant fiber length and exponential fiber length distribution as extreme cases of the Erlang distributions were used for analysis. In case of exponential fiber length distribution and constant fiber breaking strain simple analytical relationships between the mean tensile strength and the fiber length were derived and compared to those for constant fiber length and written in a general form which is valid for all the damage modes discussed. The convex linear combination of the solutions for exponential fiber length distribution and constant fiber length was proposed to use for cases when the variation coefficient of the fiber length is between 0 and 1. The practical applicability of the results was demonstrated by identifying the relationship between the mean tensile strength and the average molecule mass of polypropylene fibers that made it possible to estimate the critical molecule mass and the tensile strength of the molecules without further measurements.

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Use of Composite-bundle Theory to Predict Tensile Properties of Yarns^∗

Cited by 13 publications

References 5 publications

Modelling tensile force oscillation during the tensile test of PET specimens

Modelling tensile force oscillation during the tensile test of PET specimens

Strength of Unidirectional Short Fiber Structures as a Function of Fiber Length

Statistical Modeling of Unidirectional Fibrous Structures

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Use of Composite-bundle Theory to Predict Tensile Properties of Yarns∗

Cited by 13 publications

References 5 publications

Modelling tensile force oscillation during the tensile test of PET specimens

Modelling tensile force oscillation during the tensile test of PET specimens

Strength of Unidirectional Short Fiber Structures as a Function of Fiber Length

Statistical Modeling of Unidirectional Fibrous Structures

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Product

Resources

About

Use of Composite-bundle Theory to Predict Tensile Properties of Yarns^∗