Congmei Lin,
Shijun Liu,
Zhong Huang,
Guansong He,
Feiyan Gong,
Yonggang Liu and
Jiahui Liu*
Institute of Chemical Materials, China Academy of Engineering Physics, Mianyang, Sichuan 621900, P. R. China. E-mail: huiihuii@163.com; Fax: +86-816-2495856; Tel: +86-816-2482005
First published on 3rd July 2015
1,3,5-triamino-2,4,6-trinitrobenzene (TATB) based polymer bonded explosives (PBXs), with three polymer binders containing different molecular structures, were studied by non-linear time dependent creep tests at different temperatures and stresses. Three fluoropolymers, i.e. F2311, F2313, and F2314 with molar ratios of comonomer vinylidene fluoride (VDF) and chlorotrifluoroethylene (CTFE) of 1
:
1, 1
:
3, and 1
:
4 were chosen as polymer binders. The experimental results suggested that all of the materials showed temperature, stress and molecular structure sensitivity. With the decrease of temperature and stress, the creep resistance of the three TATB-based PBXs was improved with reduced creep strain, decreased steady-state creep strain rate, and prolonged creep failure time. Replacement of F2311 with F2313 in the binder system lead to a creep strain decrease and creep failure time rise. With further increasing of the CTFE content in fluoropolymers from 75% to 80%, the creep resistance performances were enhanced for TATB/F2314 composites under pressures from 1 to 9 MPa, compared with TATB/F2313 composites. The creep strain–time plots for TATB-based PBXs could be accurately fit using the six-element mechanical model. The long-term creep behaviors of TATB-based PBXs were predicted based on the time-temperature superposition (TTS) concept. In addition, the dynamic behaviors and mechanical properties of fluoropolymers and TATB-based PBXs were also studied and analyzed in detail.
As a typical representative, fluoropolymer is one kind of the most commonly used binders with the advantages of good physical and chemical stability, excellent aging resistance and heat resistance, and great compatibility with other components in composite explosives.11–15 Several PBX materials have been formulated with fluoropolymer as a binder in the last decades, such as LX-17 (92.5% 1,3,5-triamino-2,4,6-trinitrobenzene TATB and 7.5% fluoropolymer kel-F800 by weight) and PBX-9502 (95% TATB and 5% kel-F800 by weight).16–18 There are many reports on the experiment and simulation study of fluoropolymer and its PBXs. Bourne et al.19 presents experimental data on equation-of-state and shock-induced damage evolution of the fluoropolymer Kel-F800. It is revealed that Kel-F800 shows decreasing spall strength with increasing stress. Gustavsen et al.17 have conducted a series of shock initiation experiments on PBX 9502 cooled to −55 °C. It is found that wave profiles from embedded gauges are qualitatively similar to those observed at 23 °C. However, at −55 °C, PBX 9502 is much less sensitive than at 23 °C. Zhang et al.20 have reported the aggregate behaviors of fluoropolymers F2311, F2312, F2313 and F2314 in TATB-based PBX with the dissipative particle dynamics method. The self-aggregate behaviors and the poor wrap property of fluoropolymers in the TATB-based PBX are consistent with the experimental observation. The ‘insert’ model for β-octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX)-based PBX has been proposed to study the mechanical properties of HMX/F2311 PBX. It is revealed that the rigidity is weakened and the ductility is improved by adding a small amount of F2311 in the crystalline HMX.21 Similar results that the ductility of crystalline TATB can be effectively improved by blending fluorine-containing polymers in small amounts have been found using molecular dynamics simulations.22
It is recognized that despite the polymer content being very low, the creep property of the polymer is the main factor in influencing the creep damage properties of PBX.23 However, few reports have been found with respect to the influences of molecular structure of the polymer binder on the creep performance of PBX.24,25 In our previous wok, the studies on the effects of the comonomer type of fluoropolymers on the three-point bending creep behaviors of TATB-based PBXs have been conducted.26 The experimental results show that compared with a copolymer of VDF and CTFE, the incorporation of tetrafluoroethylene and hexafluoropropylene comonomers in fluoropolymer results in a decrease of the steady-state creep strain rate and the maximal creep strain values and an increase of creep rupture time for TATB-based PBXs.
In order to make clear the effects of molecular structure of polymer binder on the non-linear viscoelastic properties of PBX, in this work, creep characterization tests were performed for TATB-based PBXs with three fluoropolymers containing different comonomer ratios (including F2311, F2313, and F2314). Moreover, the dynamic and static mechanical properties and morphologies of the composites were investigated and discussed to understand the relative mechanisms.
:
b) of comonomer vinylidene fluoride (VDF) and chlorotrifluoroethylene (CTFE) in F2311, F2313, and F2314 were 1
:
1, 1
:
3, and 1
:
4, respectively.
All static mechanical properties were examined by a universal testing machine (5582, INSTRON, USA). At least three specimens of each composite were tested, and the average values were reported.
The morphologies and structures of the fracture surface of various TATB-based formulations were identified by a CamScan Apollo 300 (UK) scanning electron microscopy (SEM).
A Netzsch DMA 242C instrument was also used to detect the short-term (less than 5400 s) creep behaviors of various TATB-based PBXs in a three-point bending mode under different temperatures and stresses.
delta) of polymers within the measured temperature range could be characterized by dynamic mechanical analysis.27 Fig. 1 shows the storage modulus and loss factor curves of three fluoropolymers with different VDF/CTFE molar ratios. It is found that the storage modulus of fluoropolymers reduce with increasing temperature. Due to the symmetrical substitution on the quaternary carbon for polyvinylidene fluoride (PVDF), the barrier to internal rotation of polymer main chain is low with good chain flexibility and the glass transition of PVDF is visible at about −30 °C.28 Compared with PVDF, the substituent groups are manifolded and the glass transition temperature of polychlorotrifluoroethylene (PCTFE) investigated by Khanna29 is reported to be 75 °C. As expected, an improvement in the glass transition temperature of fluoropolymers is also obtained by the decreased VDF/CTFE molar ratio. Consequently, F2311, F2313, and F2314 have the glass transition temperatures of 12.6 °C, 44.2 °C, and 55.2 °C, respectively.
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Fig. 1 Dynamic mechanical properties for fluoropolymers with different comonomer ratio: (a) storage modulus (E′), (b) loss factor (tan δ). | ||
The tensile properties of three fluoropolymers at room temperature have been determined and listed in Table 1. The results indicate that the tensile strength increases with the decrease of VDF/CTFE molar ratio in fluoropolymers. Compared with F2311, the tensile strengths of F2313 and F2314 are increased by 324.8% and 398.8%.
| sample | F2311 | F2313 | F2314 |
|---|---|---|---|
| Tensile strength/MPa | 4.19 | 17.8 | 20.9 |
| Elongation at break/% | 1338.0 | 325.6 | 211.0 |
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Fig. 2 Dynamic mechanical properties of TATB-based PBXs: (a) storage modulus (E′), (b) loss factor (tan δ). | ||
The compressive and tensile mechanical properties were measured using the compressive and Brazilian tests on a circular cylinder with 20 mm in diameter by 6–20 mm in height. A description of the method and equipment of Brazilian tests is given elsewhere.30 Table 2 shows the representative resulting mechanical properties of three TATB-based PBXs at room temperature.
| Sample | Compressive strength/MPa | Compressive elongation at break/% | Tensile strength/MPa | Tensile elongation at break/% |
|---|---|---|---|---|
| PBX-1 | 14.23 | 3.85 | 3.20 | 1.04 |
| PBX-2 | 24.27 | 3.09 | 4.32 | 0.369 |
| PBX-3 | 25.81 | 1.96 | 4.76 | 0.143 |
It can be found from Table 2 that the molecular structure of polymer binder also markedly affects the static mechanical behaviors of the TATB-based PBXs. Compared with PBX-1, a pronounced increase of strength can be noticed for PBX-2 and PBX-3 at room temperature.
| Sample | Experimental conditions | Steady-state creep strain rate/s−1 | Creep rupture strain | Creep rupture time/s |
|---|---|---|---|---|
| PBX-1 | 60 °C/1 MPa | 9.237 × 10−9 | >3.222 × 10−4 | >5400 |
| 60 °C/1.5 MPa | 2.653 × 10−8 | >5.005 × 10−4 | >5400 | |
| 60 °C/2 MPa | 3.818 × 10−7 | 7.015 × 10−4 | 705 | |
| PBX-2 | 60 °C/1 MPa | 5.091 × 10−9 | >2.532 × 10−4 | >5400 |
| 60 °C/4 MPa | 1.489 × 10−8 | >7.108 × 10−4 | >5400 | |
| 60 °C/7 MPa | 1.494 × 10−7 | 7.580 × 10−4 | 2115 | |
| 60 °C/9 MPa | 1.031 × 10−6 | 6.879 × 10−4 | 210 | |
| PBX-3 | 60 °C/1 MPa | 1.601 × 10−9 | >9.274 × 10−5 | >5400 |
| 60 °C/4 MPa | 1.397 × 10−8 | >6.356 × 10−4 | >5400 | |
| 60 °C/7 MPa | 5.152 × 10−8 | 1.020 × 10−3 | 4155 | |
| 60 °C/9 MPa | 6.022 × 10−7 | 7.423 × 10−4 | 660 |
It is evident from Fig. 4 and Table 3 that the molar ratio of comonomer VDF and CTFE in fluoropolymers has a significant impact on the creep response of TATB-based PBXs. The application of F2313 in PBX-2 results in an 44.9% steady-state creep strain rate and 21.4% maximal creep strain at 5400 s decrease as compared to F2311 in PBX-1, when a stress of 1 MPa is used at 60 °C. As it is shown, no creep fracture occurs up to 7 MPa for PBX-2, while creep fracture occurs at 705 s under 2 MPa for PBX-1. With regard to PBX-3, the application of F2314 binder leads to a further increase of creep resistance. For example, it is found that the steady-state creep strain rate and the creep rupture time of the PBX-3 at 60 °C/7 MPa are 5.152 × 10−8 s−1 and 4155 s. With respect to the composite PBX-2 that contains F2313 binder, the steady-state creep strain rate is reduced by 65.5% and the creep rupture time is increased by 96.5%. Such an obvious rise in creep resistance could be attributed to the higher mechanical strength and glass transition temperature with decreasing VDF/CTFE molar ratio. Compared with F2311, due to the restrained movement of molecular chains in polymer binders F2313 and F2314, the friction between F2313 and F2314 chains is enhanced and thus induces the increased creep resistance of PBX-2 and PBX-3.
![]() | (1) |
Fig. 6 shows the experimental and fitting curves of creep behaviors at various temperatures according to six-element mechanical model, and the six parameters (E1, E2, E3, τ2, τ3, and η4) are defined and summarized in Table 4. It can be clearly seen that the modeling curves show a satisfactory agreement with the experimental data of TATB-based PBXs. Results show that the E2, E3, and η4 of explosives have the same change trend whether for different type explosives or at different temperatures, which indicates they can be used to characterize the creep resistance of explosive material. The increased values of E2, E3, and η4 with decreasing temperature indicate the reinforced mechanical properties of the amorphous regions and increased resistance to viscous flow. Among the modeled six parameters (E1, E2, E3, τ2, τ3, and η4), the parameters E2 and E3 seem to increase with decreasing VDF/CTFE molar ratio in fluoropolymers. It can be attributed to the fact that the higher content of CTFE monomers in polymer binder leads to the blockage of molecular thermodynamic movement and an increase of the rigidity of material. In addition, due to the restricted relative slide of molecular chain, the values of η4 also increase with decreasing VDF/CTFE molar ratio in fluoropolymers.
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| Fig. 6 Modeling results of creep strain curves of TATB-based PBXs under 1 MPa predicted by six-element mechanical model: (a) PBX-1; (b) PBX-2; (c) PBX-3. | ||
| Sample | Test condition | E1/MPa | E2/MPa | τ2/s | E3/MPa | τ3/s | η4/MPa s |
|---|---|---|---|---|---|---|---|
| PBX-1 | 30 °C/1 MPa | 4.394 × 105 | 4.328 × 104 | 554.30 | 1.241 × 104 | 14.41 | 3.483 × 108 |
| 45 °C/1 MPa | 4.159 × 105 | 1.429 × 104 | 651.14 | 9.312 × 103 | 23.23 | 1.505 × 108 | |
| 60 °C/1 MPa | 1.200 × 107 | 9.558 × 103 | 649.35 | 5.674 × 103 | 42.99 | 1.248 × 108 | |
| 80 °C/1 MPa | 1.129 × 106 | 5.895 × 103 | 670.74 | 5.571 × 103 | 47.54 | 7.889 × 107 | |
| PBX-2 | 30 °C/1 MPa | 1.176 × 106 | 1.036 × 105 | 515.85 | 3.016 × 104 | 15.71 | 5.016 × 108 |
| 45 °C/1 MPa | 6.690 × 105 | 2.607 × 104 | 739.07 | 1.557 × 104 | 25.39 | 3.601 × 108 | |
| 60 °C/1 MPa | 4.376 × 105 | 1.468 × 104 | 526.74 | 6.297 × 103 | 20.97 | 2.082 × 108 | |
| 80 °C/1 MPa | 1.300 × 105 | 9.542 × 103 | 525.30 | 6.234 × 103 | 13.38 | 1.570 × 108 | |
| PBX-3 | 30 °C/1 MPa | 1.859 × 106 | 8.275 × 105 | 243.01 | 5.439 × 104 | 15.91 | 1.261 × 109 |
| 45 °C/1 MPa | 2.468 × 106 | 6.494 × 104 | 1401.03 | 2.271 × 104 | 25.74 | 9.222 × 108 | |
| 60 °C/1 MPa | 6.503 × 106 | 1.921 × 104 | 682.68 | 1.751 × 104 | 32.64 | 2.604 × 108 | |
| 80 °C/1 MPa | 1.497 × 106 | 1.278 × 104 | 517.99 | 1.206 × 104 | 38.89 | 2.565 × 108 |
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| Fig. 7 Double logarithmic plots of three-point bending creep strain for TATB-based PBXs under 1 MPa: (a) PBX-1; (b) PBX-2; (c) PBX-3. | ||
:
3 (F2313) to 1
:
4 (F2314) results in a further modification of creep behaviors. Based on the analytical modeling (six-element mechanical model) and experimental results, the influences of molecular structure of polymer binder on the creep performance of TATB-based PBXs were discussed. The long-term creep behavior, which was predicted based on time-temperature superposition (TTS) concept, suggested that the TATB/F2314 composites provided much lower creep response compared to that of the TATB/F2311 and TATB/F2313 composites. The research presented here indicated that changing the molecular structure in polymer binder, such as comonomer molar ratio, is an effective way to tune the creep performance of the PBXs.
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