D. Kumar and V. Choudhary
ThermochimicaActa693(2020)178749
3. Results and discussion
due to either the system becomes less reactive or less homogeneous at
higher heating rates. Similar behavior has also been reported by
Domínguez et al. in the study of non-isothermal curing kinetics of a
polyfurfuryl alcohol bio-resin [23].
The FIPN, Bis-ADPN and ODPA-PN monomers were synthesized
according to reaction Scheme 1 using the procedure reported elsewhere
ODPA-PN. In the 1H-NMR spectra of ODPA-PN and Bis-ADPN aromatic
proton detected at the range of 7.06–8.11 ppm. All these structure does
not show the amino proton at around 5.50 ppm, confirming the com-
pletion of reaction. Furthermore, in the 13C-NMR spectra, the signals at
109.14–166.69 ppm are assigned to the aromatic carbon and nitrile
carbon. The chemical shifts at 31.20 and 36.21are denotedto qua-
ternary carbon atoms in the isopropyl group and resonance at 115.60
ppm arising due to CN carbon signal. Therefore, the obtained spectra
confirmed well as expected structure of monomers.
The curing enthalpy was dependent on the reactivity of monomer
and DDS(reaction between amine and nitrile group) and it was lowest
in case of Bis-ADPN/DDS mixture. This could be due to the higher
equivalent weight of Bis-ADPN as compared to ODPA-PN and FIPN
monomers.
3.2. Curing kinetics theory
The extent of conversion (degree of cure), α at any particular
temperature (Tα) was determined as the ratio of the area under the
exothermic peak in DSC and depicted as:
The structure of monomers was also confirmed by FT-IR spectra as
depicted in Fig. 5. The strong absorption band at 2232 cm−1 (Fig. 5)
peaks at 3076 and 2970 cm−1 are due to the aromatic CHe stretching.
In addition, new absorption bands at 1774 and 1727 cm−1 is assigned
HT
Htotal
(1)
Where HT the enthalpy of partially cured samples (reaction up to time
due to asymmetric and symmetric vibration of C]O stretching of imide
Tα) and Htotal is the total enthalpy of curing. In non-isothermal system
−1
group correspondingly and peak located at 1248 and 1082 cm
ap-
proved the COCee stretching vibration in aromatic region of mono-
mers. The characteristic stretching vibration of amino (-NH2) com-
pletely disappears in IR spectrum, indicating the successful synthesis of
imide containing FDA, ODPA and Bis-A dianhydride based bisphtha-
lonitrile monomer.
HT
Htotal dt
d
dt
d
dT
(2)
Kinetics of curing reaction of thermosetting resins is generally ex-
plained by a single step reaction, which presents the relationship be-
tween reaction rate and temperature, T; extent of conversion, α,
[24,25].The curing reaction rate dα/dt is generally expressed as Eq. (3)
3.1. Curing behavior of FIPN, ODPA-PN and Bis-ADPN
The effect of monomer structure (FIPN, Bis-ADPN and ODPA-PN) on
curing behavior using 4, 4’-diaminodiphenyl sulfone in ratio of
monomer: DDS (90:10) was evaluated using DSC. Fig. 6A shows the
DSC scans of FIPN, Bis-ADPN and ODPA-PN monomers at a heating rate
of 10 °C/min in nitrogen atmosphere. An endothermic transition due to
melting was observed with a peak temperature at 144, 223.0 and 249 °C
for FIPN, Bis-ADPN and ODPA-PN respectively. In the DSC scans of pure
monomers, exothermic peak was not observed. This could be due to
very slow and sluggish reaction of neat monomers which did not show
any exothermic transition [3,10]. However, in the presence of DDS, all
the monomers showed an endothermic transition (melting point) as
well as exothermic transition (curing) in the DSC scans of monomer:
amine (90:10).From these studies, it can be concluded that all three Bis-
ADPN, ODPA-PN,FIPN systems can be cured using DDS as curing agent.
. Non-isothermal DSC was performed to understand the curing be-
havior and curing kineticsof bisphthalonitrile/aromatic diamine at
heating rate of 5 °C, 10 °C, 15 °C and 20 °C/min. The DSC scans of
samples (a) Bis-ADPN/DDS (b) ODPA-PN/DDS and (c) FIPN/DDS are
shown in Fig. 7. From these plots, the curing exotherm was analyzed by
d
dt
(3)
where α is the degree of conversion/curing; t is the time; k (T) is the
rate constant which depends on the temperature; and f (α) is the pro-
cess mechanism function. The function of k (T) can be described by the
Ea
RT
(4)
where Ea is activation energy and A are pre-exponential factor and
activation energy for curing, respectively, R is the universal gas con-
stant and T is the absolute temperature.
The kinetic equation for non-isothermal curing can be described as:
d
dt
d
dT
Ea
RT
f( )
(5)
Frequently used method for analyzing the curing activation energy
) are Kissinger, Ozawa and Friedman methods. All methods are
(
E
based on the fact that the reaction rate depends on the temperature at
constant extent of curing [25,26]. To determine the activation energy of
been applied to evaluate the kinetics ofphthalonitrile resins [1,6,26].
According to ICTAC (International confederation for thermal ana-
lysis and calorimetry) kinetic project, [24,27] use of Starink [28,29]
Initial temperature where the first heat evolved was detected (Ti),
•
Onset temperature (Tonset)was obtained by drawing a tangent to the in-
•
itial portion of exotherm
Peak exotherm temperature (Tp),
•
End temperature (Tend).
•
The results of curing exotherm are summarized in Table 1. Peak
exothermic temperature gradually increased and peak become sharp as
we increase the heating rate for recording DSC scans [10]. The exo-
under the exothermic peak, expressing the total heat of curing of
samples. For all the three samples, the fastest heating rate (15 and 20
°C/min.) show much lower heat of curing than the lowest heating rate
(5 °C/min). It is expected that ΔH should be dependent on the structure
of monomer, curing agent and its amount. However we observed a
significant decrease in ΔH with increasing heating rate. This could be
Ea
RT ,i
ln
T1.92
,i
(6)
Where
is the heating rate and T ,i is the temperature at which the
degree of conversion; α is reached at a given ith heating rate.
The various curing mechanisms are of different systems. According
to previous work, there are two usual models for cuing reaction me-
chanism; autocatalytic model and nth- order model [28,29]. The
equations are as shown in Eqs. (7) and (8)
4