Abstract

Single fiber testing was conducted utilizing the ASTM D3379-89e1 standard to measure the Young’s modulus for optical glass fibers. Upon analyzing the experimental data, it was discovered that procedural methods to account for system compliance resulted in a source of uncertainty due to the 12.6 % fiber diameter variability between different fibers tested. As a result, the 86.8 GPa Young’s modulus determined included a significant 43.9 % uncertainty. A new method of data analysis was devised to take into account this fiber diameter variability, which lowered the uncertainty to 7.5 % and provided a Young’s modulus of 61.4 GPa. Comparisons were made with the more recent ASTM C1557-03 standard that gave a similar 61.3 GPa Young’s modulus. A large bias error of 41.6 % exists between the Young’s modulus values determined by the two standard methods. The various analytical methods are discussed along with their estimates of uncertainty, the impact on micro-mechanics, and how to lower this uncertainty further.

References

1.
ASTM D3379-89e1,
2000
, “
Standard Test Method for Tensile Strength and Young’s Modulus for High-Modulus Single-Filament Materials
,” Annual Book of ASTM Standards, Vol.
15.01
, ASTM International, West Conshohocken, PA, pp.
702
705
.
2.
ASTM C1557-03,
2010
, “
Standard Test Method for Tensile Strength and Young’s Modulus of Fibers
,” Annual Book of ASTM Standards, Vol.
15.01
, ASTM International, West Conshohocken, PA, pp.
787
796
.
3.
Li
,
C. T.
and
Langley
,
N. R.
, “
Improvement in Fiber Testing of High-Modulus Single-Filament Materials
,”
J. Am. Ceram. Soc.
 0002-7820, Vol.
68
(
8
),
1985
, pp.
C202
C204
. https://doi.org/10.1111/j.1151-2916.1985.tb10183.x
4.
Petrovic
,
J. J.
,
Milewski
,
J. V.
,
Rohr
,
D. L.
, and
Gac
,
F. D.
, “
Tensile Mechanical Properties of SiC Whiskers
,”
J. Mater. Sci.
 0022-2461, Vol.
20
(
4
),
1985
, pp.
1167
1177
. https://doi.org/10.1007/BF01026310
5.
Ash
,
J. T.
,
Cross
,
W. M.
,
Svalstad
,
D.
,
Kellar
,
J. J.
, and
Kjerengtroen
,
L.
, “
Finite Element Evaluation of the Microbond Test: Meniscus Effect, Interphase Region, and Vise Angle
,”
Compos. Sci. Technol.
 0266-3538, Vol.
63
(
5
),
2003
, pp.
641
651
. https://doi.org/10.1016/S0266-3538(02)00256-7
6.
Miller
,
B.
,
Muri
,
P.
, and
Rebenfeld
,
L.
, “
A Microbond Method for Determination of the Shear Strength of a Fiber/Resin Interface
,”
Compos. Sci. Technol.
 0266-3538, Vol.
28
,
1987
, pp.
17
32
. https://doi.org/10.1016/0266-3538(87)90059-5
7.
Kellar
,
J. J.
,
Cross
,
W. M.
,
Johnson
,
F. J.
, and
Connell
,
M. E.
, “
Method of Using Thin-Clad Near Infrared Transparent Optical Glass Fibers as Evanescent Wave Sensors
,” U.S. Patent No. 6,198,861 B1 (
2001
).
8.
Cross
,
W. M.
,
Johnson
,
F. J.
,
Mathison
,
J.
,
Griswold
,
C.
,
Kjerengtroen
,
L.
, and
Kellar
,
J. J.
, “
The Effect of Interphase Curing on Interphase Properties and Formation
,”
J. Adhes.
 0021-8464, Vol.
78
(
7
),
2002
, pp.
571
590
. https://doi.org/10.1080/00218460213736
9.
Griswold
,
C.
,
2003
, “
Interphase Variations in Glass Fiber Reinforced Epoxy Composites
,” M.S. thesis,
South Dakota School of Mines and Technology
, Rapid City, SD.
10.
Metcalfe
,
A. G.
and
Schmitz
,
G. K.
, “
Effect of Length on the Strength of Glass Fibers
,”
ASTM Proceedings
, Vol.
64
,
1964
, pp.
1075
1093
.
11.
Thomason
,
J. L.
and
Kalinka
,
G.
, “
A Technique for the Measurement of Reinforcement Fibre Tensile Strength at Sub-Millimetre Lengths
,”
Composites, Part A
 1359-835X, Vol.
32
(
1
),
2001
, pp.
85
90
. https://doi.org/10.1016/S1359-835X(00)00122-6
12.
ASTM E111-97,
2000
, “
Standard Test Method for Young's Modulus, Tangent Modulus, and Chord Modulus
,” Annual Book of ASTM Standards, Vol.
03.01
, ASTM International, West Conshohocken, PA, pp.
233
239
.
13.
Beckwith
,
T. G.
,
Marangoin
,
R. D.
, and
Lienhard
,
J. H.
,
1993
,
Mechanical Measurements
, 5th ed.,
Addison-Wesley
,
Reading, MA
.
14.
Phillips
,
S. G.
, “
Calculation of Young’s Modulus of Elasticity from Composition of Simple and Complex Silicate Glass
,”
Glass Technol.
 0017-1050, Vol.
5
(
6
),
1964
, pp.
216
223
.
15.
Bekermann
,
G.
,
2007
, “
Performance of Hemp-Fibre Reinforced Polypropylene Composite Materials
,” Ph.D. thesis,
University of Waikato
, Hamilton, New Zealand, pp.
92
96
.
16.
Kim
,
D.
, “
Multi-Scale Assessment of Geotextile-Geomembrane Interaction
,” Ph.D. thesis,
Georgia Institute of Technology
, Atlanta, GA,
2006
, pp.
50
54
.
17.
Chen
,
L.
,
2004
, “
Carbothermal Synthesis of Coatings on SiC Fibers
,” Ph.D. thesis,
Drexel University
, Philadelphia, PA, pp.
34
42
.
18.
Luo
,
S.
,
2002
, “
Surface Modification of Textile Fibers and Cords by Plasma Polymerization for Improvement of Adhesion to Polymeric Matrices
,” Ph.D. thesis,
University of Cincinnati
, Cincinnati, OH, pp.
66
67
.
19.
van Hattum
,
F. W. J.
,
1999
, “
A study of the Mechanical Properties of Vapour Grown Carbon Fibres and Carbon Fibre-Thermoplastic Composites
,” Ph.D. thesis,
University of Minho
, Braga, Portugal, pp.
24
31
.
20.
Daniel
,
I. M.
and
Ishai
,
O.
,
2006
,
Engineering Mechanics of Composite Materials
, 2nd ed.,
Oxford University Press
,
New York
, pp.
304
305
.
21.
Hinton
,
M. J.
,
Kaddour
,
A. S.
, and
Soden
,
P. D.
,
2004
,
Failure Criteria in Fibre Reinforced Polymer Composites: The World-Wide Failure Exercise
,
Elsevier
,
New York
.
22.
Gotsis
,
P. K.
,
Chamis
,
C. C.
, and
Minnetyan
,
L.
, “
Prediction of Composite Laminate Fracture: Micromechanics and Progressive Fracture
,”
Compos. Sci. Technol.
 0266-3538, Vol.
58
(
7
),
1998
, pp.
1137
1149
. https://doi.org/10.1016/S0266-3538(97)00014-6
23.
Huang
,
Z. M.
, “
A Bridging Model Prediction of the Tensile Strength of Composite Laminates Subjected to Biaxial Loads
,”
Compos. Sci. Technol.
 0266-3538, Vol.
64
(
3–4
),
2004
, pp.
395
448
. https://doi.org/10.1016/S0266-3538(03)00220-3
24.
Mayes
,
S. J.
and
Hansen
,
A. C.
, “
Composite Laminate Failure Analysis Using Multicontinuum Theory
,”
Compos. Sci. Technol.
 0266-3538, Vol.
64
(
3–4
),
2004
, pp.
379
394
. https://doi.org/10.1016/S0266-3538(03)00219-7
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