Stress-Strain Diagram, Young's Modulus and Poisson's Ratio of Textile Fibers

Higuchi, Kenji; Takai, Hikaru

doi:10.4188/jte1955.7.4

Cited by 5 publications

(3 citation statements)

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“…The initial modulus for true stress-strain curve is equal to initial modulus of the engineering stress-strain curve as in previous cases. It was experimentally proved that the Poisson ratio decreased with increasing of tensile elongation [233].…”

Section: Analysis Of Stress-strain Curvesmentioning

confidence: 98%

The chemistry, manufacture and tensile behaviour of polyester fibers

Militký

2009

Handbook of Tensile Properties of Textile and Technical Fibres

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Section: Analysis Of Stress-strain Curvesmentioning

confidence: 98%

The chemistry, manufacture and tensile behaviour of polyester fibers

Militký

2009

Handbook of Tensile Properties of Textile and Technical Fibres

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“…Take an ideally elastic material satisfying Hooke’s law and let σnormalEnormal be the engineering stress and εnormalE be an engineering strain at any point in the straight line region of the stress–strain diagram. Then, Young’s modulus E is defined as the ratio of engineering stress to engineering strain 52–57 so we can write: …”

Section: Theoretical Investigation Of Compression Pressurementioning

confidence: 99%

Development of new mathematical models and their comparison with existing models for the prediction of compression pressure using the cut-strip method

Siddique

Kůs

Militký

et al. 2022

Textile Research Journal

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Compression socks are a highly acclaimed textile garment for pressure exertion on the lower part of the leg (ankle). This part of the research explains the theoretical investigation of compression pressure by the modelization technique that helped to develop two new mathematical models by incorporating a few missing parameters for the measurement of compression pressure (kPa) and compared with existing models simultaneously. These new parameters including deformed width ( wf), true stress ( σT), logarithmic strain ( εT), true modulus (ET), and engineering stress ( σE)/strain ( εE)/modulus (EE) were incorporated and compared with Hook’s law ( k = fx) used for elastic materials at the ankle position. Various brands of compression socks composed of similar fibrous combinations as well as the knit type were purchased. Initially they were hand-washed, put on the leg for marking, a square was marked, circular cut-strips were detached from the ankle portion of the compression socks, and they were then cut to a linear shape for all 13 sock samples. For this, all linear cut-strips were installed on a Testometric tensile testing machine and were extended to a fixed elongation of 65% of gauge length five times simultaneously, and were then extracted for different extension (mm) values considering the requisite practical elongation values (circumferential difference between leg and socks at the ankle portion). The models developed were compared with Hook’s law and Laplace’s law. The developed models were compared with compression pressure values measured using existing models statistically.

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“…Then, Young’s modulus E is defined as the ratio of engineering stress to engineering strain. 9,50–54 So we can write where σ E is the engineering stress (N/mm 2 ), ɛE is the engineering strain and E E is the modulus of elasticity (N/mm 2 ).…”

Section: Derivation Of Mathematical Modelmentioning

confidence: 99%

New approach for the prediction of compression pressure using the cut strip method

Siddique

Mazari

Havelka

et al. 2020

Textile Research Journal

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The main objective of the current research is the development of a new mathematical model for the prediction of compression pressure based on the incorporation of some new parameters. These new parameters include deformed width (wf), true stress ([Formula: see text]), true/logarithm strain ([Formula: see text]), true modulus of elasticity ([Formula: see text]), along with measurement of engineering stress ([Formula: see text]), engineering strain ([Formula: see text]) and engineering modulus of elasticity ([Formula: see text]) at ankle position. Various brands of compression socks comprising similar fibrous combinations, as well as knit type, were purchased. Initially they were hand washed, put on the leg for marking, marked in a square, sliced, and cut into rectangular strips. The rectangular cut strips were evaluated for force–elongation characterization at different strain values considering the requisite practical elongation values (circumferential difference between leg and sock at ankle portion). For pressure measurement, a Salzmann MST MK IV pressure measuring device using a standard-sized wooden leg (circumference = 240 mm) was used. For tensile evaluation, a Testometric tensile tester was used. In this research we developed the two mathematical models based on true Young’s modulus and engineering Young’s modulus were compared with Hooke’s law and Laplace’s law. The developed models were also compared with previously existing models statistically.

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Stress-Strain Diagram, Young's Modulus and Poisson's Ratio of Textile Fibers

Abstract: Dynamic properties represented by curved load-elongation

Cited by 5 publications

References 0 publications

The chemistry, manufacture and tensile behaviour of polyester fibers

The chemistry, manufacture and tensile behaviour of polyester fibers

Development of new mathematical models and their comparison with existing models for the prediction of compression pressure using the cut-strip method

New approach for the prediction of compression pressure using the cut strip method

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