Analyses of mechanical and diffusive properties of fibers are described, indicating strong lateral interactions between the microfibrils. These results show that uniaxially-oriented polymers must be analyzed in terms of a model where the crystallites are imbedded in an “amorphous” matrix. The equations are derived for modulus, strength, and coefficient of diffusion in terms of crystallite dimensions, and the results are compared with the experimental data. These results contradict the predictions of the microfibrils model where the properties are independent of the crystallite dimensions but depend solely on the degree of crystallinity. New correlations were found between the coefficient of friction and tan δ of the fiber. It is proposed that polymer deformation has a strong effect on the frictional behavior of fibers in the fabrics.
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References
1.
BarhamP.KellerA., A Criterion for Distinguishing Between Polymer Fibers of Fundamentally Different Origin, J. Polym. Sci., Polym. Lltrs.13, 197–202 (1975).
2.
BartenevG. M., Friction of Polymeric Solids, Dokl. Akad. Nauk. USSR96, 1161–1164 (1954).
3.
BellJ. P., Relation Between Nylon Fiber Mechanical Properties and Dye Diffusion Behavior, J. Appl. Polym Sci.12, 627–638 (1968).
4.
BowdenF. P.TaborD., “The Friction in Lubricating Solids,”Clarendon Press, Oxford, 1954.
5.
ButlerR. H.LambG. E. R.PrevorsekD. C., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part III: Bending Recovery of Yarns, Textile Res. J.45, 285–289 (1975).
6.
ButlerR. H.LambG. E. R.PrevorsekD. C., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part IV: Bending Recovery of Woven Fabrics, Textile Res. J.45, 426–433 (.1975).
7.
CrankJ.ParkG. S., Eds., “Diffusion in Polymers,”Academic Press, London, 1968, p. 186.
8.
CrankJ.ParkG. S., Eds., ibid., p. 187.
9.
DulmageW. J.ContoisL. E., A Study of the Elastic Modulus and Extensibility of the Crystalline Regions in Highly Oriented Polymers, J. Polym. Sci.28, 275–284 (1958).
10.
DumbletonJ. H.BellJ. P.MurayamaT., The Effect of Structural Changes in Dye Diffusion in Poly(ethylene Terephthalate), J. Appl. Polym. Sci.12, 2491–2508 (1968).
11.
DusenburyJ. H.WuC. N.DansizerC. J., Mechanical Properties of Feather and Down Fibers. Part I: Measurements at 65% RH and 70°F, Textile Res. J.30, 277–290 (1960).
12.
FujitaH.KishimotoA.MatsumotoK., Concentration and Temperature Dependence of Diffusion Coefficients for Systems Polymethyl Acrylate and n-Alkyl Acetates, Trans. Faraday Soc.56, 424–437 (1960).
13.
GezalovM. A.KuksenkoV. S.SlustkerA. I., Estimation of Cross Sectional Dimensions of Fibrillous Structural Elements in Oriented Polymers, Vysokomol. Sojedin.A12, 1787–1792 (1970).
14.
GillisF. P., Effect of Hydrogen Bonds on the Axial Stiffness of Crystalline Native Cellulose, J. Polym. Sci. A-27, 783–794 (1969).
15.
HalpinJ. C.TsaiS. W., “Environmental Factors in Composite Materials Design,” Air Force Material Lab-Technical Report 67–423, 1967.
16.
HargetP. J., The Use of Small Angle X-ray Scattering for the Study of Polymers, Norelco Reporter18(1), 25–31 (1971).
17.
HienN. V.CooperS. L.KoutskyJ. A., Morphology and Properties of Twisted Polymeric Fibers, J. Macromol. Sci.-Phys.B6(2), 343–364 (1972).
18.
IchikawaM.OhashiM.YokoboriT., “Interaction Between Parallel Cracks in an Elastic Solid and Its Effect on Fracture,”Reports of the Research Institute of Materials, Tohoku University, Sendai, Japan, 1, 1–14 (1965).
19.
JaswonM. A.GillisP. O.MarkR. E., The Elastic Constants of Crystalline Native Cellulose, Proc. Roy. Soc.A306, 389–412 (1968).
20.
KoiterW. T., Problems of Continuum Mechanics, Mushkelisrvili Ann. Vol. Soc. Ind., Appl. Mech., 1961, p. 246.
21.
KummerH. W., “Unified Theory of Rubber Friction,”Pennsylvania State University Engrg. Res. Bull.B-94, 1966.
22.
LambG. E. R.ButlerR. H.PrevorsekD. C., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part II: Bending Recovery of Single Filaments, Textile Res. J.45, 267–272 (1975).
23.
LambG. E. R.PrevorsekD. C., unpublished data.
24.
LindbergJ.GralénN., Measurement of Friction Between Single Fibers. Part II: Frictional Properties of Wool Fibers Measured by the Fiber-Twist Method, Textile Res. J.18, 287–301 (1948).
25.
LyonsW. J., Theoretical Values of the Dynamic Stretch Moduli of Fiber-Forming Polymers, J. Appl. Phys.29, 1429–1433 (1958).
26.
McGrawG. E., Study of Molecular Orientation in Poly-(ethylene terephthalate) Fibers by Fluorescence Polarization, J. Polym. Sci., A-28, 1323–1336 (1970).
27.
MeyerK. H.LotmarW., Sur l'Elasticité de la Cellulose, (Sur la Constitution de la Partie Cristallisée de la Cellulose IV), Helv. Chim. Acta19, 68–86 (1936).
28.
MinatoK.NakafukuC.TakemuraT., Rolling Friction of Metals, Japanese J. Appl. Phys.8(10), 1171–1179 (1969).
29.
PeterlinA.SakaokuK., Surface Replicas of Drawn Polyethylene. III. The Morphology of Drawing with Neck Formation, J. Appl. Phys.38, 4152–4164 (1967).
30.
PeterlinA., Chain Scission and Plastic Deformation in the Strained Crystalline Polymer, J. Polym. Sci., Part C32, 297–317 (1971).
31.
PeterlinA., Radical Formation and Fracture of Highly Drawn Crystalline Polymers, J. Macromol. Sci.-Phys.B6(4), 583–598 (1971).
32.
PrevorsekD. C.TobolskyA. V., Determination of Non-Flow Shrinkage Ratio in Oriented Fibers, Textile Res. J.33, 795–802 (1963).
33.
PrevorsekD. C.LyonsW. J., Fatigue Fracture in Fibrous Polymers as a Brittle, Crack-Nucleation Process, J. Appl. Phys.35, 3152–3164 (1964).
34.
PrevorsekD. C., Tensile Strength of Oriented Polymers Below the Glass Transition Temperature, J. Polym. Sci., A-24, 63–88 (1966).
35.
PrevorsekD. C.ButlerR. H., Structure of Nylon 6 from Analysis of Viscoelastic Properties, Intern. J. Polymeric Materials1, 251–277 (1972).
36.
PrevorsekD. C.HargetP. J.SharmaR. K.ReimschuesselA. C., Nylon 6 Fibers: Changes in Structure Between Moderate and High Draw Ratios, J. Macromol. Sci.-Phys.B8(1–2), 127–156 (1973).
37.
PrevorsekD. C.TirpakG. A.HargetP. J.ReimschuesselA. C., Effects of Thermal Contraction on Structure and Properties of PET Fibers, J. Macromol. Sci.-Phys.B9(4), 733–759 (1974).
38.
PrevorsekD. C.ButlerR. H.LambG. E. R., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part I: Procedures and Apparatus, Textile Res. J.45, 60–67 (1975).
39.
PrevorsekD. C.ButlerR. H.LambG. E. R., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part V: Settability and Measurement of the Degree of Set in Yarns and Filaments, Textile Res. J.45, 535–540 (1975).
40.
PrevorsekD. C.LambG. E. R.ButlerR. H., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part VI: Application of Fiber-Yam-Fabric Analysis, Textile Res. J.46, 17–25 (1976).
41.
PrevorsekD. C.KwonY. D., Structure Interpretation of Polymer Fibers, J. Macromol. Sci.-Phys., in press.
42.
ReimschuesselA. C.PrevorsekD. C., Domain Structure of Nylon 6 Fibers, J. Polym. Sci., Polym. Phys.14, 485–498 (1976).
RiegerH., Theoretical Model of Rubber Friction, Kaut. Gummi. Kunstst.20(5), 293–295 (1967).
45.
SackA. R., Extension of Griffith's Theory of Rupture to Three Dimensions, Proc. Phys. Soc. (London)58, 728–736 (1946).
46.
SakaokuK.PeterlinA., Electron Microscopy of Drawn Polypropylene, J. Polym. Sci., A-29, 895–915 (1971).
47.
SakuradaI.ItoT.NakamaeK., Elastic Moduli of the Crystal Lattices of Polymers, J. Polym. Sci., Part C, No. 15, 75–91 (1966).
48.
SamuelsR. J., Quantitative Structural Characterization of the Mechanical Properties of Isotactic Polypropylene, J. Macromol. Sci.-Phys.B4, 701–759 (1970).
49.
SamuelsR. J., Quantitative Structural Characterization of the Mechanical Properties of Polyethylene terephthalate), J. Polym. Sci., A-210, 781–810 (1972).
50.
SchallamachA., Friction and Abrasion of Rubber, Wear1, 384–417 (1958).
51.
SchallamachA., Friction and Abrasion of Rubber, Rubber Chem. Technol.31, 982–1014 (1958).
52.
SchallamachA., A Theory of Dynamic Rubber Friction, Wear6, 375–382 (1963).
53.
SchallamachA., A Theory of Dynamic Rubber Friction, Rubber Chem. Technol.39, 320–327 (1966).
54.
StattonW. O.KoenigJ. L.HannonM., Characterization of Chain Folding in Polyethylene Terephthalate) Fibers, J. Appl. Phys.41, 4290–4295 (1970).
55.
SteinR. S.NorrisF. H., The X-ray Diffraction, Birefringence and Infrared Dichroism of Stretched Polyethylene, J. Polym. Sci.21, 381–396 (1956).
56.
TakayanagiM.ImadaK.KajiyamaT., Mechanical Properties and Fine Structure of Drawn Polymers, J. Polym. Sci., Part C, No. 15, 263–281 (1966).
57.
TreloarL. R. G., Calculations of Elastic Moduli of Polymer Crystals, I. Polyethylene and Nylon 66, Polymer1, 95–103 (1960); II. Terylene, Polymer 1, 279–289 (1960).
58.
See, for example, (a) U. S. Patent 3,457,609, LambG. E. R.PrevorsekD. C., “Method and Apparatus for Fibrillation of Fibers,”1969.
59.
(b) U. S. Patent 3,499,822, Ole-Bendt Rasmussen, “Extruded, Expanded Mat-like or Web-like Fibrillar Sheet Assembly and Method for Its Production,”1970.
60.
(c) U. S. Patent 3,506,535, PrevorsekD. C.LambG. E. R.OswaldH. J., “Method of Fibrillation and Product,”1970.
61.
VinogradovG. V.YanovskyYu. G.FrenkinE. I., Friction and Dynamic Mechanical Characteristics of Crystalline Polymers During Melting, Brit. J. Appl. Phys.18, 1141–1150 (1967).
62.
WakelinJ. H.VoongE. T. L.MontgomeryD. J.DusenburyJ. H., Vibroscope Measurements of the Elastic Moduli of Nylon 66 and Dacron Filaments of Various Draw Ratios, J. Appl. Phys.26, 786–792 (1955).
63.
WillmoreT. J., The Distribution of Stress in the Neighborhood of a Crack, Quart. J. Mech. and Appl. Math.2(1), 53–63 (1949).
64.
YokoboriT.OhashiM.IchikawaM., “The Interaction of Two Collinear Asymmetrical Elastic Cracks,”Reports of the Research Institute for Strength and Fracture of Materials, Tohoku University, Sendai, Japan, 1(2), 33–39 (1965).
