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DOI 10.1515/polyeng-2012-0124 J Polym Eng 2013; 33(2): 163–171
Yanhua Chen , Xiayin Yao * , Qun Gu and Zhijuan Pan *
Non-isothermal crystallization kinetics of poly (lactic acid)/graphene nanocomposites Abstract: Poly(lactic acid) (PLA)/graphene nanocompos-
ites were prepared by solution blending and the dispers-
ibility of graphene in the PLA matrix was examined by
transmission electron microscopy (TEM). The non-isother-
mal crystallization behaviors of pure PLA and PLA/gra-
phene nanocomposites from the melt were investigated
by differential scanning calorimetry (DSC). The results
showed that the graphene could play a role as a hetero-
geneous nucleating agent during the non-isothermal crys-
tallizing process of PLA, and accelerate the crystallization
rate. The non-isothermal crystallizing data were analyzed
with the Avrami, Ozawa and Mo et al. models and the
crystallization parameters of the samples were obtained.
It is demonstrated that the combination of the Avrami and
Ozawa models developed by Mo et al. was successful in
describing the non-isothermal crystallization process for
pure PLA and its nanocomposite. According to the Kiss-
inger equation, the activation energies were found to be
-154.3 and -179.5 kJ/mol for pure PLA and PLA/0.1 wt %
graphene nanocomposite, respectively. Furthermore, the
spherulite growth behavior was investigated by polarized
optical microscopy (POM) and the results also supported
the DSC data.
Keywords: graphene; kinetics; nanocomposites; non-iso-
thermal crystallization; poly(lactic acid).
*Corresponding authors : Xiayin Yao , Ningbo Institute of Materials
Technology and Engineering , Chinese Academy of Sciences,
Ningbo 315201, PR China , Tel.: +86-574-86686790,
Fax: +86-574-86685701, e-mail: [email protected] ; and
Zhijuan Pan, College of Textile and Clothing Engineering , Soochow
University, Suzhou 215006, PR China; and National Engineering
Laboratory for Modern Silk , Soochow University, Suzhou 215123,
PR China , Tel.: +86-512-67065713, Fax: +86-512-67246786,
e-mail: [email protected]
Yanhua Chen : College of Textile and Clothing Engineering , Soochow
University, Suzhou 215006, PR China
Yanhua Chen : National Engineering Laboratory for Modern Silk ,
Soochow University, Suzhou 215123, PR China
Qun Gu: Ningbo Institute of Materials Technology and Engineering ,
Chinese Academy of Sciences, Ningbo 315201, PR China
Yanhua Chen: China Textile Academy Jiangnan Branch , Shaoxing
312071, PR China
1 Introduction
Poly(lactic acid) (PLA), an important biodegradable
synthetic polymer made from renewable resources, has
received considerable attention in the field of environmen-
tal protection and biomedical applications, because of its
biodegradability and biocompatibility [1 – 4] . However,
due to its slow crystallization rate, as well as brittleness,
vulnerability to heat, and poor mechanical properties, the
applications of PLA in more fields are restricted. These
problems can be partly overcome through copolymer syn-
thesis and blending PLA with other polymers or nanofill-
ers [5 – 7] . Graphene, a new allotrope of carbon, has been
considered to be a kind of excellent inorganic filler for pre-
paring high performance polymer-based nanocomposites
at very low loading content, due to its remarkable elec-
tronic, thermal, and mechanical properties [8 – 10] . Until
now, many polymer/graphene nanocomposites have been
reported with improved properties [11 – 13] . Nevertheless,
only a few works focused on the PLA/graphene nanocom-
posites [14 – 16] .
The crystallization behavior of polymer is a basic
problem in polymer physics and has become one of the hot
research topics over the past few decades [17] . It is known
that the properties of a crystalline polymer depend on the
size, shape, orientation and perfection of the crystallites,
as well as the degree of crystallinity. Compared with that of
the isothermal crystallization process, the investigation of
non-isothermal crystallization process from the melt can
provide the fundamental theories for materials process-
ing, as this process is much closer to the practical indus-
trial applications, such as extrusion, injection molding,
film blowing etc. Furthermore, for PLA, the degradation
properties also mainly depend on the crystalline morphol-
ogy and crystallinity. Hence, the crystallization behav-
iors of pure PLA and its blends or copolymer have been
investigated by many researchers [18 – 24] . Liu et al. [19]
investigated the non-isothermal crystallization kinetics of
poly(L-lactide) and a polylactide stereocopolymer (PLA 98
),
containing 98 % L-lactyl and 2 % D-lactyl units, and found
that the PLA 98
exhibited a much reduced crystallization
ability compared with poly(L-lactide). Papageorgiou et al.
[20] prepared a series of PLA nanocomposites containing
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164 Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites
different types of inorganic filler nanoparticles, including
fumed silica nanoparticles, montmorillonite and oxidized
multi-walled carbon nanotubes. The effect of filler types
on non-isothermal crystallization of PLA nanocomposites
was studied. However, there is still little literature on gra-
phene induced crystallization of PLA [25 – 27] .
In our previous works, PLA/graphene nanocompos-
ites were prepared via solution blending, using chloro-
form as a mutual solvent. The introduction of a very low
loading of graphene could greatly enhance the thermal
stability of PLA. The temperature for 5 % weight loss for
PLA/0.1 wt % graphene nanocomposite was 18.1 ° C higher
than that for pure PLA [28] . The isothermal crystalli zation
behavior and crystal morphology of pure PLA and its
nanocomposites were also investigated, using differen-
tial scanning calorimetry (DSC) and polarizing optical
microscope (POM) [29] . In this work, the non-isothermal
crystallization behavior of graphene-filled PLA was
further investigated with DSC. Based on the DSC data,
the non-isothermal crystallization kinetics were analyzed
using various mathematical models, i.e., Avrami [30 – 32] ,
Ozawa [33] , and Mo et al. [34, 35] . The activation energy
describing the nonisothermal crystallization process was
calculated based on Kissinger ’ s method [36] . The main
objective of this work is to study the effect of graphene
on the non-isothermal crystallization behavior of PLA. It
is anticipated that the research reported herein would be
of great help for understanding the relationship between
the structure and properties of biodegradable polymer
nanocomposites.
2 Experimental
2.1 Materials
Pure PLA and PLA/0.1 wt % graphene nanocomposite were
used in the present study. Pure PLA was synthesized by
the melt polycondensation of lactic acid (Anhui BBCA
and GALACTIC Lactic Acid Co., Ltd., Anhui, China) in our
own laboratory. The weight-average molecular weight
and polydispersity were 12,776 and 1.38, respectively,
which were determined by gel permeation chromatogra-
phy (Waters 1515, Waters Corporation, Milford, MA, USA)
measurement. Graphene was prepared by a solution-
phase processing, followed by thermal reduction.
The PLA/0.1 wt % graphene nanocomposite was pre-
pared via solution blending and the coagulation method
[28] . In a typical procedure, 5 mg graphene was dis-
persed in chloroform (Shanghai Chemical Reagent Corp.,
Shanghai, China) with a mass concentration of 0.2 mg/ml
by ultrasonication (Scientz-IID, Ningbo Scientz Biotech-
nology Co., Ltd, Zhejiang, China; with an output power
650 W) for 2 h at room temperature and the stable disper-
sion was obtained. At the same time, 5 g PLA was also
dissolved in the chloroform. Then, the two solutions were
mixed together to form a homogeneous mixture, by mag-
netically stirring. After that, the mixture was dropwise
added to a 10 – 15 times excess of methanol (Shanghai
Chemical Reagent Corp. Shanghai, China) and the pre-
cipitate was collected by centrifugation. The pure PLA
was also prepared according to the same procedure, in the
absence of graphene, in order to eliminate experimental
error. Finally, the products were dried in a vacuum oven at
75 ° C for 12 h to remove the solvents totally and then stored
in a desiccator until used.
2.2 Characterization
Transmission electron microscopy (TEM) experiments
were performed on an FEI Tecnai G 2 transmission elec-
tron microscope (FEI Company, Oregon, USA), at an
accelerating voltage of 200 kV. The PLA/0.1 wt % gra-
phene nanocomposite was embedded in epoxy and cut
into ∼ 80 nm thick slices using an ultramicrotome for
TEM observation.
The DSC measurements were performed using a
Mettler Toledo DSC (Mettler-Toledo International Inc.,
Schwerzenbach, Switzerland). The temperature was cali-
brated by pure indium and zinc. All measurements were
carried out in a nitrogen atmosphere. The samples (5 – 6
mg) were first heated to 200 ° C and held there for 5 min to
remove the thermal history, and then cooled at a constant
cooling rate of 0.5, 1, 2, 3 and 4 ° C/min for nonisothermal
crystallization. The exothermal traces were recorded for
data analysis.
The spherulitic growth behavior of pure PLA and
PLA/0.1 wt % graphene nanocomposite during non-
isothermal crystallization was studied using a POM
(Olympus BX51, Olympus Corp., Tokyo, Japan) equipped
with a hot stage (Instec HCS601) controlling tempera-
ture accurately and a CCD camera recording the mor-
phology of the samples. The very thin samples, with a
thickness of around 40 μ m, were sandwiched between
two glass slides and heated to 200 ° C on the hot stage
and held there for 5 min to remove the thermal history.
Then, these molten films were non-isothermally crystal-
lized to 65 ° C at a cooling rate of 2 ° C /min from the melt.
The CCD camera was used to record the optical texture
images.
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Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites 165
3 Results and discussion
3.1 Dispersibility of graphene in PLA
Figure 1 A shows the TEM image of graphene nanosheets
dispersed in chloroform. Extremely thin graphene
nanosheets with a wrinkled structure were detected.
After formation of the nanocomposite with PLA, by
solution blending, the graphene nanosheets could be
homogenously dispersed in the PLA matrix; no obvious
Figure 1 Transmission electron microscopy (TEM) images of
(A) graphene and (B) poly(lactic acid) (PLA)/0.1 wt % graphene
nanocomposite.
Figure 2 Differential scanning calorimetry (DSC) non-isothermal
measurement curves for (A) pure poly(lactic acid) (PLA) and (B)
PLA/0.1 wt % graphene nanocomposite from the melt at various
cooling rates.
aggregations were found in the nanocomposite, which
was confirmed by TEM, as shown in Figure 1B.
3.2 Nonisothermal crystallization behavior
The non-isothermal crystallization exotherms of pure
PLA and PLA/0.1 wt % graphene nanocomposite from
the melt at various cooling rates, ranging from 0.5 to
4 ° C/min, are presented in Figure 2 . As the cooling rate
increases, the exothermic traces become broader, and
the peak values shift to lower temperatures for both pure
PLA and PLA/0.1 wt % graphene nanocomposite, which
could be due to less time for the PLA molecular chains
to move and fold at the higher cooling rate. Furthermore,
the values of crystallization peak ( T p ) and onset tempera-
ture ( T c ) for the samples, under different cooling rates,
can be derived from Figure 2; these are listed in Table
1 . It can be seen that the T p and T
c for the PLA/0.1 wt %
graphene nanocomposite are higher than those of pure
PLA at the same cooling rates, which indicates that the
existence of graphene makes the crystallization of PLA
easier and also suggests that the graphene could act as a
heterogeneous nucleating agent and accelerate the crys-
tallization rate of PLA matrix during the non-isothermal
crystallization.
The relative crystallinity X ( T ), as a function of tem-
perature T , can be formulated as Eq. (1) [37, 38] :
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166 Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites
( ) 0
0
d
d
T cT
T cT
H dTdTX T H dTdT
∞
⎛ ⎞⎜ ⎟⎝ ⎠
=⎛ ⎞⎜ ⎟⎝ ⎠
∫
∫
(1)
where T 0 and T
∞ represent the onset and end temperature
of crystallization, T is an arbitrary temperature, and d H c
is the enthalpy of crystallization released during an infini-
tesimal temperature interval d T . Figure 3 shows the rela-
tive crystallinity as a function of temperature for pure PLA
and PLA/0.1 wt % graphene nanocomposite, at various
cooling rates. The crystallization temperature in Figure 3
can be converted to crystallization time t using Eq. (2):
Figure 3 Relative crystallinity X(T) as a function of crystallization
temperature for (A) pure poly(lactic acid) (PLA) and (B) PLA/0.1 wt %
graphene nanocomposite during the non-isothermal crystallization.
Figure 4 Relative crystallinity X(t) as a function of crystallization
time for (A) pure poly(lactic acid) (PLA) and (B) PLA/0.1 wt % gra-
phene nanocomposite during the non-isothermal crystallization.
t = ( T 0 - T )/ φ (2)
where T is the crystallization temperature at time t and
φ is the cooling rate. The plots of the relative crystallin-
ity X ( t ) as a function of time t for pure PLA and its nano-
composite, during the non-isothermal crystallization, are
illustrated in Figure 4 . An important kinetic parameter
that can be obtained from Figure 4, is the half-time of
crystallization ( t 1/2
), which is defined as the time required
to reach half crystallinity ( X ( t ) = 0.5). The values of t 1/2
for
pure PLA and PLA/0.1 wt % graphene nanocomposite are
also listed in Table 1. Clearly, the t 1/2
values of the PLA/0.1
wt % graphene nanocomposite are smaller than those of
pure PLA at a given cooling rate, which further demon-
strates that the graphene acts as a nucleating agent in PLA
non-isothermal crystallization and leads the acceleration
of crystallization.
3.3 Nonisothermal crystallization kinetics based on various models
In order to elucidate the non-isothermal crystallization
process of pure PLA and PLA/graphene nanocomposites,
the non-isothermal crystallization kinetics were analyzed
by Avrami, Ozawa and Mo et al. models, based on the DSC
data. The Avrami equation is the most common approach
to analyze the isothermal crystallization kinetics, which
can be expressed as Eq. (3) or (4) [30 – 32] :
Table 1 Characteristic parameters obtained for non-isothermal crys-
tallization of pure poly(lactic acid) (PLA) and PLA/0.1 wt % graphene
nanocomposite based on differential scanning calorimetry (DSC)
measurements.
Samples φ ( ° C/min) T p ( ° C) T c ( ° C) t 1/2 (min)
Pure PLA 0.5 117.87 124.07 11.88
1 109.17 118.32 9.19
2 104.32 117.00 6.94
3 102.40 115.20 5.06
4 101.20 113.40 4.03
PLA/0.1 wt % graphene 0.5 119.23 125.23 11.44
1 114.26 123.25 8.97
2 109.67 120.13 5.73
3 106.48 118.50 4.55
4 104.41 116.07 3.73
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Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites 167
X ( t ) = 1-exp(- kt n ) (3)
or
ln {-ln[1- X ( t )]} = ln k + n ln t (4)
where k and n are the Avrami rate constant and Avrami
exponent, respectively, depending on the nucleation
process and the geometry of the growing crystals. Based
on the assumption that the crystallization temperature
is constant, the Avrami equation can also be used to
describe the primary stage of non-isothermal crystalliza-
tion. Figure 5 shows the Avrami plots of ln{-ln[1- X ( t )]} as
a function of ln t for pure PLA and PLA/0.1 wt % graphene
nanocomposite. Each curve shows a linear part, as well as
Figure 5 Plots of In {-In[1- X ( t )]} as a function of ln t for (A)
pure poly(lactic acid) (PLA) and (B) PLA/0.1 wt % graphene
nanocomposite.
Table 2 Non-isothermal crystallization kinetics parameters for pure poly(lactic acid) (PLA) and PLA/0.1 wt % graphene nanocomposite
obtained from Avrami and Mo analyses.
Samples Avrami model Mo model
φ ( ° C/min) k (min -1 ) n X ( t ) % F ( T ) a
Pure PLA 0.5 0.00013 3.48 20 18.70 1.61
1 0.00062 3.16 40 43.33 1.80
2 0.0052 2.51 60 100.21 2.02
3 0.013 2.41 80 304.92 2.31
4 0.033 2.16 – – –
PLA/0.1 wt % graphene 0.5 0.00030 3.20 20 15.49 1.57
1 0.00064 3.21 40 32.04 1.72
2 0.0059 2.7 60 66.63 1.90
3 0.015 2.51 80 195.57 2.20
4 0.040 2.11 – – –
a nonlinear portion, that deviated from the Avrami equa-
tion at a high relative crystallinity region attributed to sec-
ondary crystallization caused by the spherulite impinge-
ment in the later stage. The deviation in the plots occurs at
a relative crystallinity of about 90 % . According to Eq.(4),
values of k and n are obtained from the intercept and the
slope of the linear parts of Avrami plots, corresponding to
approximately 5 – 90 % of the relative crystallinity and the
results are listed in Table 2 . It can be seen that the values of
the Avrami exponent n are similar for both pure PLA and
PLA/0.1 wt % graphene nanocomposite, which may indi-
cate that the addition of graphene into PLA matrix does
not affect the geometric dimension of PLA crystal growth
during the non-isothermal crystallization. The n values
for both samples are in the range 2.1 – 3.5, suggesting that
the crystallization mechanism is tridimensional spherical
growth during the non-isothermal crystallization process
[39 – 41] . The values of k for PLA/0.1 wt % graphene nano-
composite are larger than those of PLA at the same cooling
rates, indicating a higher crystallization rate for the nano-
composite, which is in accordance with the results of t 1/2
.
However, due to the variation of crystallization tempera-
ture, Avrami parameters lost their physical meanings in
the case of the non-isothermal crystallization process.
By taking into account the effect of cooling rate φ , Ozawa extended the Avrami theory to describe the non-
isothermal crystallization process. According to the Ozawa
theory, the non-isothermal crystallization process is the
result of an infinite number of small isothermal crystal-
lization steps and the developed model can be described
as Eq. (5) or (6) [33] :
X ( T ) = 1-exp [ - K ( T )/ φ m ] (5)
or
ln {-ln[1- X ( T )]} = ln K ( T )-mln φ (6)
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168 Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites
where K ( T ) is the cooling crystallization function, which
is related to the overall crystallization rate and indicates
how fast the crystallization occurs, and m is the Ozawa
exponent that depends on the dimension of crystal
growth. The plots of In {-ln[1- X ( T )]} as a function of ln
φ , at a given temperature for non-isothermal crystalliza-
tion of pure PLA and PLA/0.1 wt % graphene nanocom-
posite, are shown in Figure 6 . It can be seen that some
non-parallel lines are observed for both samples, indicat-
ing that the Ozawa model fails to describe non-isothermal
crystallization in both pure PLA and its nanocomposite.
These results can be ascribed to the neglect of secondary
crystallization and the dependence of the fold length on
temperature in the Ozawa theory [17] .
In order to describe the non-isothermal crystallization
processes more accurately, Mo et al. [34, 35] proposed a
novel kinetic model by combining the Avrami and Ozawa
equations. They assumed that the degree of crystallinity
is correlated to the cooling rate and crystallization time.
Therefore, the modified equation can be expressed as Eq.
(7) or (8):
ln k + n ln t = ln K ( T )- m ln φ (7)
or
ln φ = ln F ( T )- a ln t (8)
where F ( T ) = [ K ( T )/ k ] 1/ m is the kinetics parameter, referring
to the value of the cooling rate chosen at the unit crystal-
lization time when the system has a defined degree of crys-
tallinity; a = n / m is the ratio of the Avrami exponent n and
Figure 6 Ozawa plots of In {-In[1- X ( T )]} as a function of In φ for
(A) pure poly(lactic acid) (PLA) and (B) PLA/0.1 wt % graphene
nanocomposite.
Figure 7 Plots of In φ versus ln t for (A) pure poly(lactic acid) (PLA)
and (B) PLA/0.1 wt % graphene nanocomposite.
the Ozawa exponent m . For a given degree of crystallinity,
the smaller the value of F(T) , the higher the crystallization
rate becomes. According to Eq. (8), plots of ln φ versus ln t at a given relative degree of crystallinity for pure PLA and
its nanocomposite, are shown in Figure 7 . Clearly, a series
of straight lines are obtained and the kinetic parameter
F(T) and a can be determined from the intercept and the
slope of the plots; the results are also listed in Table 2. As
expected, the F ( T ) values of PLA/0.1 wt % graphene nano-
composite are smaller than those of pure PLA at the same
degree of crystallinity, which further confirms the nuclea-
tion effect of graphene in the PLA matrix, and is consist-
ent with previous results from the Avrami analysis and t 1/2
.
Furthermore, the a values for PLA/0.1 wt % graphene nano-
composite change slightly compared with those of pure
PLA, indicating that the incorporation of graphene into the
PLA matrix affects the mechanism of nucleation and the
crystal growth of PLA slightly. Based on the above analy-
sis, Mo et al. model can well describe the non-isothermal
crystallization process of pure PLA and its nanocompos-
ite. Similar phenomena have also been reported for a PLA-
modified carbon black composite by Su et al. [21] .
3.4 Activation energy describing the overall crystallization process
It is known that the crystallization process of polymers
is controlled by two factors: one is the dynamic factor
relating to the activation energy for the transport of crys-
talline units across the phase boundary, and the other
is the static factor relating to the free energy barrier for
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Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites 169
nucleation. Considering the effect of the cooling rate on
the non-isothermal crystallization process, Kissinger sug-
gested a method for determining the activation energy, as
shown in Eq. (9) [36] :
2ln( / )-
( 1 / )
p
p
d T Ed T R
φ⎡ ⎤ Δ⎣ ⎦ =
(9)
where Δ E is the non-isothermal crystallization activation
energy, R is the universal gas constant and T p is the peak
crystallization temperature at a certain cooling rate φ . By
plotting ( )ln / pTφ 2 against 1/ T p based on the data in Table 1,
two straight lines can be obtained, as shown in Figure 8 .
The Δ E values can be deduced from the slopes of the plots
in Figure 8 and are found to be -154.3 and -179.5 kJ/mol
for pure PLA and PLA/0.1 wt % graphene nanocomposite,
respectively. As the energy released during transforming
the molten state into the crystalline state, the obtained
values are negative. This shows that the addition of gra-
phene increases the non-isothermal crystallization activa-
tion energy of PLA, indicating an impeding effect on the
non-crystallization of PLA. However, the crystallization
rate of PLA/0.1 wt % graphene nanocomposite is faster
than that of pure PLA. The reason for this phenomenon
could be that the nucleation effect of graphene plays a
major role in the whole non-isothermal crystallization
process of PLA in this study.
3.5 Spherulitic growth behavior
In order to support the crystallization data analyzed by
DSC, the spherulite growth behavior was investigated by
POM. Figure 9 shows the POM images of pure PLA and
PLA/0.1 wt % graphene nanocomposite taken at 65 ° C
during non-isothermal crystallization from their melts,
Figure 8 Kissinger plots of ( / )φ 2
pln T versus 1/ T p for pure
poly(lactic acid) (PLA) and PLA/0.1 wt % graphene nanocomposite.
Figure 9 Polarized optical microscopy (POM) images of (A) pure
poly(lactic acid) (PLA) and (B) PLA/0.1 wt % graphene nanocompo-
site at 65 ° C during non-isothermal crystallization from their melts at
a cooling rate of 2 ° C/min.
at a cooling rate of 2 ° C/min. Obviously, the addition of
graphene into the PLA matrix had a significant effect on
the crystal morphology of PLA. The growth of spheru-
lites in pure PLA is fairly large and more perfectly grown
than those in the PLA/0.1 wt % graphene nanocomposite.
Besides, the PLA/0.1 wt % graphene nanocomposite shows
dense spherulites and the size of spherulite decreases
with the addition of graphene. These observations are
further evidence for the nucleating effect of graphene in
the PLA matrix.
4 Conclusions In this work, PLA/graphene nanocomposite were suc-
cessfully prepared by solution blending, and graphene
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170 Y. Chen et al.: Crystallization kinetics of PLA/graphene nanocomposites
nanosheets were homogenously dispersed in the PLA
matrix; no obvious aggregations were found in the nano-
composite. The effect of graphene on the non-isother-
mal crystallization behavior of PLA was investigated by
DSC at various cooling rates. The results show that the
crystallization peak temperatures of the PLA/0.1 wt %
graphene nanocomposite are higher than that of pure
PLA at a given cooling rate. The values of halftime of
crystallization indicate that the graphene could act as a
heterogeneous nucleating agent and enhance the crys-
tallization rate during the non-isothermal crystallizing
process. Based on the DSC data, the non-isothermal crys-
tallization kinetics were analyzed by Avrami, Ozawa and
Mo et al. models. The Avrami and Ozawa models failed
to describe the whole non-isothermal crystallization
process for the samples, due to the omitting of the effect of
cooling rate and secondary crystallization, respectively.
However, the non-isothermal crystallization process of
pure PLA and the PLA/graphene nanocomposite can be
successfully described by the model developed by Mo
et al. The activation energies for the non-isothermal crys-
tallization process were calculated based on Kissinger ’ s
method and were found to be -154.3 and -179.5 kJ/mol for
pure PLA and PLA/0.1 wt % graphene nanocomposite,
respectively. Clearly, the presence of graphene has two
effects on the non-isothermal crystallization process of
PLA: one is the nucleation effect, which could acceler-
ate the crystallization rate, and the other is the impeding
effect, which could retard the transport of molecules to
the growing crystals, leading to a slower crystallization
rate. However, it worth noting that the nucleation effect
always plays a major role in the non-isothermal crystal-
lization process of PLA. Furthermore, POM results also
supported the DSC data and gave convincing evidence
for the nucleating effect of graphene in the PLA matrix.
Received September 18, 2012; accepted January 25, 2013; previously
published online March 21, 2013
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