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8/11/2019 10-2 Wang Updated Tappi 2007 Nano_060707 Jk
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2007 International Conference on
Nanotechnology for the Forest Products Industry
Knoxville Convention Center, June 13-15, 2007
Siqun Wang, Seung-Hwan Lee, Cheng Xing,
George M. Pharr
University of Tennessee
Nano-Mechanical Properties of Cellulose Fibers
by Nanoindentation
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IntroductionsSiqun Wang
To design fiber reinforced polymer composites, we
need to know
Matrix
Fiber
Interphase
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Research Goals and Materials
Objectives:
To investigate nano mechanical properties of cellulose fibers by nanoindentation;
To compare data between nanoindentation and conventional tensile test;
To understand what could happen if fiber diameter is too small or fiber cell wall is too
narrow.
Siqun Wang
Materials:Two types of Lyocell fiber
Refined wood fibers under different
refining steam pressure
The image of refining fiber a) juvenile wood at 2 MPa, b) mature wood
at 2 MPa, c) juvenile wood at 18 MPa, and d) mature at 18 MPa.
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Research Goals and MaterialsSiqun Wang
Materials:
Refined wood fibers under different refining steam pressure
2 Bars 12 Bars 18 Bars
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Experimental MethodSiqun Wang
Lyocell fiber:
Tensile test (Tensile modulus)Nanoindentation (hardness, elastic modulus,
creep)
X-ray diffraction (crystallinity)
AFM
Refined wood fibers under different refining
steam pressure:Nanoindentation (hardness, elastic modulus,
creep)
AFM
Nanoindentation influenced by neighboring
materials via finite element analysisSingle fiber nano-
mechanical testing system
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Nanoindentation Instrument and Indentation
Procedure
Schematic of the NANO II
Indenter
Indent
marks
s
Le30
LfLf Le
h63.5
77
S = 2
Le/tan30
H = Lf + Le
S = 2h (tan65.3 )/(tan30 )
Lf = h (tan77 ) Le = h(tan65.3 )
H = h (tan77 + tan 65.3)
Geometry of nano-indenter
(Berkovich diamond tip)
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Nanoindentation Instrument and Indentation
Procedure
2
max
5.24ch
P
A
PH
Hardness (H):
Indentationforce,
P
Displacement, h
dP/dh
Loading
Unloading
hc
Typical load-displacement curve
Adh
dPE
r
2
1
1
2
2 111
i
i
r
ss
EE
E
Elastic modulus (Es):
(Oliver and Pharr)
Vs and Vi (0.07) are the Poissons ratios of
the specimen and indenter, respectively.
Eiis the modulus of theindenter (1141 GPa).
Eris reduced elastic modulus, which accounts
for the fact that elastic deformation occurs in
both the sample and the indenter.
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Nanoindentation Instrument and Indentation
Procedure
Load,
P
Displacement, h
With single experiment, cycles of
indentation, each of which consistsof incremental loading and partialunloading, are performed until afinal desired depth is attained.
Each loading-and-partial unloadingcycle provides a series of values ofhardness and elastic modulus.
Continuous stiffness measurement: One of the significantimprovements in nanoindentation test
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ResultsLyocell fiberSiqun Wang
Tensile modulus of Lyocell fibers by single fiber tensile test and
sample codes for specimens
Sample Code Fiber direction Tensile modulus
(GPa)
Index of crystallinity
(%)
Lyo13 (L) Longitudinal 12.64 (2.94) 67.5
Lyo13 (T) Transverse - -
Lyo10 (L) Longitudinal 10.36 (1.88) 65.4
Lyo10 (T) Transverse - -
The value in parenthesis is the standard deviation (SD)
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ResultsLyocell fiberSiqun Wang
Hardness and elastic modulus of Lyocell fibers measured by
continuous nanoindentation
Sample Mean value from 150
to 300 nm depth (GPa)
Unloading value at final
indentation depth (GPa)
H mean E mean Hu Eu
Lyo13 (L) 0.44
(0.06)
13.19
(0.10)
0.43
(0.05)
13.10
(0.10)
Lyo13 (T) 0.32
(0.02)
6.77
(0.28)
0.33
(0.02)
6.69
(0.25)
Lyo10 (L) 0.33
(0.05)
11.51
(1.27)
0.32
(0.06)
11.42
(1.25)
Lyo10 (T) 0. 30
(0.01)
6.09
(0.14)
0. 30
(0.01)
6.01
(0.13)
Each is the average value from 5 indents. The value
in parenthesis is the standard deviation (SD).
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ResultsLyocell fiberSiqun Wang
Hardness and elastic modulus of Lyocell fibers measured by continuous
nanoindentation
Sample Mean value from
150 to 300 nm depth
(GPa)
Unloading value at final
indentation depth (GPa)
H mean E mean Hu Eu
Lyo13 (L) 0.44
(0.06)
13.19
(0.10)
0.43
(0.05)
13.10
(0.10)
Lyo13 (T) 0.32
(0.02)
6.77
(0.28)
0.33
(0.02)
6.69
(0.25)
Lyo10 (L) 0.33
(0.05)
11.51
(1.27)
0.32
(0.06)
11.42
(1.25)Lyo10 (T) 0. 30
(0.01)
6.09
(0.14)
0. 30
(0.01)
6.01
(0.13)
Each is the average value from 5 indents. The
value in parenthesis is the standard deviation
(SD).
Sample
Code
Fiber direction Tensile
modulus
(GPa)
Index of
crystallinity
(%)
Lyo13 L) Longitudinal 12.64
(2.94)
67.5
Lyo13 T) Transverse- -
Lyo10 L)
Longitudinal 10.36
(1.88)65.4
Lyo10 T) Transverse- -
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ResultsLyocell fiberSiqun Wang
Creep behaviors of Lyocell fibers
0
0.2
0.4
0.6
0.8
1
1.2
0 100 200 300
Holding time (s)
Load(mN)aaa
200s
Hold segment
Loading
Experimental scheme for creep
test by nanoindentation.
-3.45
-3.35
-3.25
-3.15
-0.7 -0.6 -0.5
Log () (GPa)
Log
()(sec
-1
)
Lyo8 (T)
Lyo8 (L)
Lyo15 (T)
Lyo15 (L)
Lyo10 (T)
Lyo13 (T)
Lyo10 (L)
Lyo13 (L)
-3.45
-3.35
-3.25
-3.15
-0.7 -0.6 -0.5
Log () (GPa)
Log
()(sec
-1
)
Lyo8 (T)
Lyo8 (L)
Lyo15 (T)
Lyo15 (L)
Lyo10 (T)
Lyo13 (T)
Lyo10 (L)
Lyo13 (L)
The plot of indentation strain rate () and contact
stress (hardness, ) obtained from data
corresponding to the holding segment. Load:
1000 N, Loading rate: 20 N/s, Holding time200 s.
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ResultsRefined wood fibersSiqun Wang
Summary of nanoindentation results of fiber cell wall
Note: Stdev: standard deviation; CV: coefficients of variation; Ci: indention creeps; n: the number of indents.
Property/pressure 2 bars 4 bars 6 bars 8 bars 10 bars 12 bars 14 bars 18 bars
Es
GPa
H
GPa
Ci
%
n
Mean
Stdev
CV
Mean
Stdev
CV
Mean
Stdev
CV
Number
21.35
2.59
12.13
0.50
0.04
8.00
7.58
0.86
11.35
31
18.62
2.97
15.95
0.47
0.062
13.19
8.72
1.56
17.89
27
15.96
2.41
15.10
0.47
0.07
14.89
8.87
1.25
14.09
23
16.83
2.53
15.03
0.45
0.05
11.11
8.63
1.29
14.95
28
15.32
2.51
16.38
0.43
0.067
15.58
8.24
1.09
13.23
30
14.05
2.87
20.43
0.43
0.079
18.37
9.68
1.79
18.49
28
13.09
3.42
26.13
0.39
0.078
20.00
12.30
3.89
29.25
14
12.22
3.29
26.92
0.37
0.095
25.68
13.08
3.91
29.89
13
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ResultsFinite element analysisSiqun Wang
Poplar cell wall
Manchurian Ash
cell wall
Adhesive transitionzone from the fiber
to matrixMatrix
Fiber
Indents
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ResultsFinite element analysisSiqun Wang
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ResultsFinite element analysisSiqun Wang
Fiber
E=18.65Gpa,H= 0.69 Gpa
Epoxy
E =4.67 Gpa ,H =0.16 Gpa
Perform one simulationwhen the location of the
flat punch moves to the
left or the right with every
1um
Rigid Flat punch
radius =1um1um
8 simulations 8 simulations
Total 16 simulations
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ResultsFinite element analysisSiqun Wang
Boundary Conditions:
Penetration depth: 50nm applied to the indenter Axisymmetry BCs: applied to the center face.
Roller BC: applied to the bottom face.
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ResultsFinite element analysisSiqun Wang
Mesh Rigid flat cylindrical punch
Symmetry
plane
100um
1
00um
100um
Fiber
Matrix
100um
Rigid flat cylindrical punch
Symmetry
plane
100um
1
00um
100um
Fiber
Matrix
100um
100um
1
00um
100um
Fiber
Matrix
100um
Rigid flat cylindrical punch
Symmetry
plane
100um
1
00um
100um
Fiber
Matrix
100um
Rigid flat cylindrical punch
Symmetry
plane
100um
1
00um
100um
Fiber
Matrix
100um
100um
1
00um
100um
Fiber
Matrix
100um
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ResultsFinite element analysisSiqun Wang
0.000
0.005
0.010
0.015
0.020
0.025
0.030
0.035
0.040
0.045
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Centerline location of flat cylinderical punch (um)
Stiffness
(mN/nm)
FEA
Sneddon's solution-Epoxy
Sneddon's solution-Fiber
Fiber
Epoxy
Variation of the stiffness measured from the FEA with position from the interface. The punchradius is 1 m.
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SummarySiqun Wang
Nanoindentation with continuous stiffness measurement is well
suited to the evaluation nano-mechanical and time-dependentmechanical properties of cellulose fibers in longitudinal and
transverse direction. There is no significant difference between
modulus values obtained by nanoindentation and single fiber
tensile test.
There are some advantages using nanoindentation than tensile
test.
Using existing nanoindentation technique it would be difficult to
calculate the exact mechanical properties without the effect of
neighboring material property in at least 8 times smaller region
than indent size.
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AcknowledgementsSiqun Wang
Haitao Xu, Yan Wu, Matthew Kant, Dayakar
Penumadu
USDA NRI grant number # 2005-02645
USDA Wood Utilization Research Grant
Tennessee Agricultural Experiment Station MS#96
Oak Ridge National Laboratory