# Study of the Impact Energy Releasing Characteristics of Al/PTFE/W Energetic Jets

Authors: Fuhai Li; Hantao Liu; Yanwen Xiao
Journal: Shock and Vibration
 (2020)

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## Abstract

Compared with traditional jets, energetic jets have more efficient damage effects. To study the reaction characteristics of polytetrafluoroethylene- (PTFE-) based energetic jets under impact loading, the static mechanical properties of Al/PTFE/W composite energetic materials are studied by using a universal testing machine at a strain rate of 0.01 s−1, and the dynamic mechanical properties are tested on a slip Hopkinson pressure bar (SHPB) system at a strain rate of 1000∼5500 s−1. A dynamic energy acquisition system is established to quantify the energy generated by the response of the Al/PTFE/W energetic jets to impact targets. The effects of the material proportion and impact energy on the mechanical and energy release properties of the Al/PTFE/W energetic jets are analyzed. The results show that the Al/PTFE/W composite has an obvious strain rate effect. As the W content in the composite increases, the yield strength and compressive strength of the material increase gradually, but the strain at break decreases. When the W content is 45%, the peak pressure, total release energy, pressure platform duration, and total pressure duration of the Al/PTFE/W energetic jets are the highest. As the impact energy increases, the pressure peak and energy release values of the energetic jets increase. At an impact energy threshold of 106.1 MJ/m2, the chemical reaction of the Al/PTFE/W (45%) energetic jets is saturated. The results provide a theoretical and experimental basis for the application of energetic jets.


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## Body

## 1. Introduction

Metal/fluoropolymer composites are formed when active metal powders are uniformly mixed into a fluoropolymer matrix, are cold pressed, and undergo a sintering hardening process to enhance their mechanical strength [1]. These composites are inert under normal conditions and insensitive to friction, heat, fusing, and detonation. However, the extreme forces upon impact cause the components to react with each other and release more energy than highly explosive components [2]. This kind of material can be prepared into next-generation ammunition by replacing components normally made of inert materials, such as fragmentation warheads, shaped-charge warheads, penetrating warheads, and projectiles and can cause additional damage to the target through additional chemical reactions.In recent years, researchers have made notable progress on shock-induced chemical reactions of metal/fluoropolymer composites. Feng et al. [3] found that the sintering temperature controls the crystallinity of the PTFE matrix, and the reactivity and toughness increase as the crystallinity decreases. Ames [4] and Mock and Drotar [5] studied the shock initiation of rods through Taylor impact tests and established the relationship between the ignition delay time and the impact energy. Shuai et al. [6], Xie et al. [7], and Xin et al. [8] conducted an experimental study on the penetration of PTFE-Al reactive fragments into steel targets, the damage of diesel fuel tanks, and the application of an active liner and determined that metal/fluoropolymer composites can achieve greater damage efficiency than conventional materials. Wang et al. [9, 10], Zhang et al. [11], and Luo et al. [12] used a vented chamber to measure the released energy of PTFE-Al energetic fragments under various impact conditions and concluded that the extent of the reaction was influenced by the impact velocity, strength properties, and target thickness.However, compared to conventional metals and alloys, active metal/fluoropolymer composites, such as PTFE/Al, have relatively low densities and material strength properties. Therefore,W particles are typically added to the composites to increase the density and structural strength. Recently, researchers have carried out studies on the reaction characteristics of active metal/fluoropolymer composites enhanced by W particles. Wang et al. [13] studied the effect of the W content on the reaction energy of W-PTFE-Al composites in both oxygen and argon and determined that the insensitivity to impact loading increased as the W mass ratio increased. Zhang et al. [14] researched the effects of the particle size of Al and W on the combustion characteristics and dynamic response of W-PTFE-Al composites and indicated that fine aluminum and coarse W contributed to an increase in the reaction energy. The aforementioned results show that the strength and reactivity of composites can be enhanced by properly adding W.In the above article, the energy release characteristics of energetic materials under impact loading were studied in the form of specimens or fragments, but few studies have focused on applications of the energetic materials of jets. After all, the formation process of the fragment and the jet and the mechanism of releasing the energy are completely different. Therefore, it is necessary to study the energy release characteristics of energetic materials in jet form. Because of the high loading strain rate, it is especially important to test the dynamic response of energetic jets under dynamic loading. The slip Hopkinson pressure bar (SHPB) experimental technology has become an important experimental method to study the dynamic response of materials under impact loading because of its advantages such as a simple structure, convenient operation, exquisite measurement method, and easily controllable waveform [15]. The dynamic mechanical properties of Al/PTFE/W composite energetic materials with W contents of 0%, 25%, 45%, and 60% are studied herein by using the SHPB system. A dynamic energy acquisition system is established to quantify the energy released by the response of Al/PTFE/W energetic jets to impact targets. The effects of the material ratio and impact energy on the mechanical and impact energy properties of the Al/PTFE/W energetic jets are analyzed.


## 2. Materials and Methods

### 2.1. Material Preparation

The equation for the reaction of Al with PTFE is 4Al + 3C2F4 = 4AlF3 + 6C. To fully carry out the chemical reaction between Al and PTFE, the mass ratio of Al to PTFE should satisfy the ratio of the zero-oxygen balance equation, which is 9 : 25. W does not participate in the chemical reaction between Al and PTFE.Ball mill mixing of the Al,W, and PTFE powders was performed using a ball mill (QM-35P4, Changsha Tianchuang Instrument Factory) with high-purity aluminum ceramic balls with diameters of 1 and 3 mm and a ball-to-powder mass ratio of 10 : 1. The particle sizes of the Al, W, and PTFE powders (Beijing Xing Rong Yuan Technology Co., Ltd.) were 5 μm, 5 μm, and 25 μm, respectively. The rotation speed was 200 r/min, the ball milling time was 480 min, and the milling was followed by drying in a vacuum oven. The dried powder was evenly loaded into a graphite mold and placed in a custom hot-pressing sintering furnace (R-C-ZKQY-07, Chenrong Electric Furnace Co., Ltd., Shanghai, China) in an Ar gas atmosphere, as shown in Figure 1. The heating rate was set as 1°C/min until 380°C was reached, and the sintering temperature was maintained for 6 hours. Pressurization started 10 min before reaching a sintering temperature of 380°C, and the applied pressure was 30 MPa. Then, the temperature was lowered at a rate of 30°C/h until 315°C was reached and maintained for 4 hours. Finally, the temperature was lowered at a rate of 30°C/h until room temperature was reached. According to the above process, Al/PTFE/W energetic materials with W masses of 0%, 25%, 45%, and 60% were prepared. The energetic material ratio and density are shown in Table 1. The preparation process of the Al/PTFE/W composites is shown in Figure 2.Figure 1
Hot-pressing sintering furnace.Table 1
Energetic material ratios and densities.
NumberMass ratio % (W/Al/PTFE)Theoretical density (kg/m3)Actual density (kg/m3)10/26.5/73.52.312.29225/19.9/55.12.972.89345/14.6/40.43.833.75460/10.6/29.44.904.81Figure 2
Process used to prepare the Al/PTFE/W composites.


### 2.2. Experimental Methods

The quasistatic compression mechanical properties of the Al/PTFE/W samples with differentW mass ratios were tested by a universal testing machine at a strain rate of 0.01 s−1. The dimensions of the compression samples were 4 × 4 × 10 mm. Each sample was tested at least five times, and the test data from three measurements with good agreement were averaged.The dynamic compressive mechanical properties of the Al/PTFE/W samples were tested on an SHPB system (Key Laboratory of Science and Technology on Materials under Shock and Impact, Beijing, China) at a strain rate of 1000∼5500 s−1. The experimental system consisted of a gas gun, a striker bar, an incident bar, a transmission bar, an absorption bar, and a data acquisition system. Different strain rates were obtained by changing the atmospheric pressure applied to the impact rod. When the stress pulse propagates to the interface between the incident bar and the test piece, it will cause high-speed deformation of the test piece and form a reflection wave that propagates in the incident bar and a transmission wave that propagates in the transmission bar. At the same time, the strain gauge pasted on the incident bar and transmission bar transmits the measured incident signal, reflected signal, and transmission signal to the dynamic strain gauge for strain amplification, and then through the signal acquisition of the digital oscilloscope and data processing of the computer, the interrelation among the internal stress, strain, strain rate, and time of the test piece can be obtained, as shown in Figures 3 and 4. It is necessary to apply a small amount of vacuum grease on both ends of the test piece as a lubricant to reduce the influence of the friction effect on the experiment.Figure 3
Quasistatic compressive stress-strain curves of the Al/PTFE/W energetic materials.Figure 4
Stress-strain curves of Al/PTFE/W energetic materials with differentW contents (the strain rate was 4500 s−1).The Al/PTFE/W composite has low mechanical strength and mechanical impedance, and the propagation speed of the stress wave is slow. According to the assumption of uniformity, the stress wave should be transferred more than three times in the specimen to be considered as dynamic equilibrium, and the experimental results can be considered as reliable. However, the SHPB experimental loading wave is a strong discontinuity wave, and the sudden loading of the specimen will cause the stress at one end of the stress to be significantly greater than that at the other end, so it is difficult to ensure the uniformity of the internal stress and deformation of the specimen, and the error of the experimental data is large. To make the internal stress of the specimen uniform, a waveshaper is added in the front of the incident bar to extend the rise time of the load, that is, to slow down the rising edge of the incident wave.The rod was made of steel with an elastic modulus of 200 GPa and a diameter of 14.5 mm. The bullet had a diameter of 14.5 mm and a length of 20 cm. The size of the samples was 10 × 5 mm. The schematic diagram of the SHPB test system is shown in Figure5. The experimental setup of SHPB is shown in Figure 6. The dynamic compression sample is shown in Figure 7.Figure 5
Schematic diagram of the SHPB test system.Figure 6
Experimental setup of SHPB.Figure 7
Dynamic compression samples: (a) 0% W. (b) 25% W. (c) 45% W. (d) 60% W.
(a)(b)(c)(d)A dynamic energy acquisition system was constructed to study the impact energy release characteristics of the Al/PTFE/W energetic jets, as shown in Figures8 and 9. The dynamic energy acquisition system consisted of an Al/PTFE/W composite liner (with a hemispherical shape, a diameter of 40 mm, an equal wall thickness of 2 mm, and an equivalent cone angle of 120°, as shown in Figure 10), a charge (poly-8 with a density of 1787 kg/m3 and a detonation velocity of 8390 m/s), a steel test container (with a diameter of 380 mm and a volume of 14.67 L), a pressure testing system (a BZ2202 multichannel dynamic strain gauge and a TST3125 dynamic test analyzer), a pressure sensor (with a −20∼20 kN pressure range, a sampling rate of 20 kHz, a sampling length of 58 s, a delay of 2 ms, and a control level of 0.15 V), a conductor, front and rear sealing plates, several Q235 steel target plates with different thicknesses, a steel protective plate, a high-speed camera, and support. The target plate was fixed to the steel support frame inside the test container by bolts, and a protective plate was placed between the test container and the liner to block detonation products and minimize the impact on the test system. To ensure that the jet entered the test container smoothly, an 80 mm pressure relief hole was located in the center of the protective plate and the front sealing plate. The axis of the liner was calibrated by a laser, and the heights of the protective plate and the front sealing plate were adjusted to be the same as that of the axis of the liner. The liner was placed on the launcher and was driven by explosive action to form a jet, which passed through the preperforated protective plate and impacted the steel baffle to produce a violent chemical reaction, releasing a large amount of heat and causing the air in the chamber to expand into an overpressure condition. The sensor at the front of the test container recorded the voltage-time signal due to the energy released by the energetic material in the jet, and the original signal was smoothed after filtering. The energy release pressure-time curve was obtained by numerical calculation.Figure 8
Schematic diagram of the energy acquisition system.Figure 9
Experimental device in the field.Figure 10
Al/PTFE/W composite liner.Two series of experiments were designed to investigate the effects of the ratio of the energetic materials and impact conditions on the impact energy release characteristics of the Al/PTFE/W energetic jets.In one set of experiments, the effect of different energetic material ratios on the energy release was investigated. The thickness of the steel diaphragm was 4 mm, and the mass ratio ofW was 0%, 25%, 45%, and 65%.In another set of experiments, the effect of the impact conditions on the energy release was investigated. The mass ratio of theW was 45%, and the thickness of the steel diaphragm was 2 mm, 3 mm, 4 mm, and 5 mm.


## 2.1. Material Preparation

The equation for the reaction of Al with PTFE is 4Al + 3C2F4 = 4AlF3 + 6C. To fully carry out the chemical reaction between Al and PTFE, the mass ratio of Al to PTFE should satisfy the ratio of the zero-oxygen balance equation, which is 9 : 25. W does not participate in the chemical reaction between Al and PTFE.Ball mill mixing of the Al,W, and PTFE powders was performed using a ball mill (QM-35P4, Changsha Tianchuang Instrument Factory) with high-purity aluminum ceramic balls with diameters of 1 and 3 mm and a ball-to-powder mass ratio of 10 : 1. The particle sizes of the Al, W, and PTFE powders (Beijing Xing Rong Yuan Technology Co., Ltd.) were 5 μm, 5 μm, and 25 μm, respectively. The rotation speed was 200 r/min, the ball milling time was 480 min, and the milling was followed by drying in a vacuum oven. The dried powder was evenly loaded into a graphite mold and placed in a custom hot-pressing sintering furnace (R-C-ZKQY-07, Chenrong Electric Furnace Co., Ltd., Shanghai, China) in an Ar gas atmosphere, as shown in Figure 1. The heating rate was set as 1°C/min until 380°C was reached, and the sintering temperature was maintained for 6 hours. Pressurization started 10 min before reaching a sintering temperature of 380°C, and the applied pressure was 30 MPa. Then, the temperature was lowered at a rate of 30°C/h until 315°C was reached and maintained for 4 hours. Finally, the temperature was lowered at a rate of 30°C/h until room temperature was reached. According to the above process, Al/PTFE/W energetic materials with W masses of 0%, 25%, 45%, and 60% were prepared. The energetic material ratio and density are shown in Table 1. The preparation process of the Al/PTFE/W composites is shown in Figure 2.Figure 1
Hot-pressing sintering furnace.Table 1
Energetic material ratios and densities.
NumberMass ratio % (W/Al/PTFE)Theoretical density (kg/m3)Actual density (kg/m3)10/26.5/73.52.312.29225/19.9/55.12.972.89345/14.6/40.43.833.75460/10.6/29.44.904.81Figure 2
Process used to prepare the Al/PTFE/W composites.


## 2.2. Experimental Methods

The quasistatic compression mechanical properties of the Al/PTFE/W samples with differentW mass ratios were tested by a universal testing machine at a strain rate of 0.01 s−1. The dimensions of the compression samples were 4 × 4 × 10 mm. Each sample was tested at least five times, and the test data from three measurements with good agreement were averaged.The dynamic compressive mechanical properties of the Al/PTFE/W samples were tested on an SHPB system (Key Laboratory of Science and Technology on Materials under Shock and Impact, Beijing, China) at a strain rate of 1000∼5500 s−1. The experimental system consisted of a gas gun, a striker bar, an incident bar, a transmission bar, an absorption bar, and a data acquisition system. Different strain rates were obtained by changing the atmospheric pressure applied to the impact rod. When the stress pulse propagates to the interface between the incident bar and the test piece, it will cause high-speed deformation of the test piece and form a reflection wave that propagates in the incident bar and a transmission wave that propagates in the transmission bar. At the same time, the strain gauge pasted on the incident bar and transmission bar transmits the measured incident signal, reflected signal, and transmission signal to the dynamic strain gauge for strain amplification, and then through the signal acquisition of the digital oscilloscope and data processing of the computer, the interrelation among the internal stress, strain, strain rate, and time of the test piece can be obtained, as shown in Figures 3 and 4. It is necessary to apply a small amount of vacuum grease on both ends of the test piece as a lubricant to reduce the influence of the friction effect on the experiment.Figure 3
Quasistatic compressive stress-strain curves of the Al/PTFE/W energetic materials.Figure 4
Stress-strain curves of Al/PTFE/W energetic materials with differentW contents (the strain rate was 4500 s−1).The Al/PTFE/W composite has low mechanical strength and mechanical impedance, and the propagation speed of the stress wave is slow. According to the assumption of uniformity, the stress wave should be transferred more than three times in the specimen to be considered as dynamic equilibrium, and the experimental results can be considered as reliable. However, the SHPB experimental loading wave is a strong discontinuity wave, and the sudden loading of the specimen will cause the stress at one end of the stress to be significantly greater than that at the other end, so it is difficult to ensure the uniformity of the internal stress and deformation of the specimen, and the error of the experimental data is large. To make the internal stress of the specimen uniform, a waveshaper is added in the front of the incident bar to extend the rise time of the load, that is, to slow down the rising edge of the incident wave.The rod was made of steel with an elastic modulus of 200 GPa and a diameter of 14.5 mm. The bullet had a diameter of 14.5 mm and a length of 20 cm. The size of the samples was 10 × 5 mm. The schematic diagram of the SHPB test system is shown in Figure5. The experimental setup of SHPB is shown in Figure 6. The dynamic compression sample is shown in Figure 7.Figure 5
Schematic diagram of the SHPB test system.Figure 6
Experimental setup of SHPB.Figure 7
Dynamic compression samples: (a) 0% W. (b) 25% W. (c) 45% W. (d) 60% W.
(a)(b)(c)(d)A dynamic energy acquisition system was constructed to study the impact energy release characteristics of the Al/PTFE/W energetic jets, as shown in Figures8 and 9. The dynamic energy acquisition system consisted of an Al/PTFE/W composite liner (with a hemispherical shape, a diameter of 40 mm, an equal wall thickness of 2 mm, and an equivalent cone angle of 120°, as shown in Figure 10), a charge (poly-8 with a density of 1787 kg/m3 and a detonation velocity of 8390 m/s), a steel test container (with a diameter of 380 mm and a volume of 14.67 L), a pressure testing system (a BZ2202 multichannel dynamic strain gauge and a TST3125 dynamic test analyzer), a pressure sensor (with a −20∼20 kN pressure range, a sampling rate of 20 kHz, a sampling length of 58 s, a delay of 2 ms, and a control level of 0.15 V), a conductor, front and rear sealing plates, several Q235 steel target plates with different thicknesses, a steel protective plate, a high-speed camera, and support. The target plate was fixed to the steel support frame inside the test container by bolts, and a protective plate was placed between the test container and the liner to block detonation products and minimize the impact on the test system. To ensure that the jet entered the test container smoothly, an 80 mm pressure relief hole was located in the center of the protective plate and the front sealing plate. The axis of the liner was calibrated by a laser, and the heights of the protective plate and the front sealing plate were adjusted to be the same as that of the axis of the liner. The liner was placed on the launcher and was driven by explosive action to form a jet, which passed through the preperforated protective plate and impacted the steel baffle to produce a violent chemical reaction, releasing a large amount of heat and causing the air in the chamber to expand into an overpressure condition. The sensor at the front of the test container recorded the voltage-time signal due to the energy released by the energetic material in the jet, and the original signal was smoothed after filtering. The energy release pressure-time curve was obtained by numerical calculation.Figure 8
Schematic diagram of the energy acquisition system.Figure 9
Experimental device in the field.Figure 10
Al/PTFE/W composite liner.Two series of experiments were designed to investigate the effects of the ratio of the energetic materials and impact conditions on the impact energy release characteristics of the Al/PTFE/W energetic jets.In one set of experiments, the effect of different energetic material ratios on the energy release was investigated. The thickness of the steel diaphragm was 4 mm, and the mass ratio ofW was 0%, 25%, 45%, and 65%.In another set of experiments, the effect of the impact conditions on the energy release was investigated. The mass ratio of theW was 45%, and the thickness of the steel diaphragm was 2 mm, 3 mm, 4 mm, and 5 mm.


## 3. Results and Discussion

### 3.1. Mechanical Properties in Compression

Figure11 shows an SEM micrograph of the fractures in the PTFE matrix. The main crack formed in the PTFE matrix is a fiber fracture, as shown by the arrow in the figure. It was formed because Al and W particles rubbed against each other during the compaction process, absorbing most of the stress, and the energetic material was in the strain hardening stage. When the stress reached the compressive strength, the microcracks in the material further expanded and met, leading to the fracture of the energetic materials.Figure 11
SEM micrograph of the fractures in the PTFE matrix.Figure3 shows the quasistatic compressive stress-strain curve of the Al/PTFE/W energetic material. Table 2 shows the quasistatic mechanical properties of the Al/PTFE/W energetic materials in compression. Figure 4 shows the stress-strain curves of the Al/PTFE/W energetic materials with different W contents (the strain rate was 4500 s−1). Figure 12 is the stress-strain curve of Al/PTFE/W energetic materials at different strain rates in the same ratio (the W content was 45%). Table 3 shows the experimental scheme and dynamic mechanical properties of the Al/PTFE/W materials.Table 2
Quasistatic compressive mechanical properties of the Al/PTFE/W materials.
NumberMass ratio (W/Al/PTFE) %Yield stress (MPa)Failure stress (MPa)10/26.5/73.516.3118.5225/19.9/55.121.7423.96345/14.6/40.427.3329.85460/10.6/29.428.0830.11Figure 12
Stress-strain curves of Al/PTFE/W energetic materials at different strain rates with the same ratio (theW content was 45%).Table 3
Dynamic mechanical properties of the Al/PTFE/W materials.
Mass ratio ofW (%)Strain rate (s−1)Yield stress (MPa)Failure stress (MPa)Fracture strain0450046.366.280.23825450052.8974.910.22545450058.2588.360.22460450059.7892.580.187450.0127.2229.850.12145100033.5648.550.14745300047.5172.620.18345450058.2588.360.22445580063.77114.290.325Figure3 shows that, in the early stage of the curve, the material strain and stress were linearly elastic. When the strain continued to increase to a specific value, the rate of rise of the curve sharply decreased, showing a nonlinear state, and the material exhibited a yielding phenomenon.Figure3 and Table 2 show that the static yield strength and failure strength of the Al/PTFE/W energetic materials increased as the W content increased because the W particles had high strength and hardness and a body-centered cubic structure, which can be evenly distributed in the face-centered cubic unit cell of the aluminum particles, play a bonding role, and improve the yield strength of the composite material. In addition, as the W content increased, the Al-PTFE binder phase could bond to additional W particles, improving the contact area between the particles and increasing interfacial infiltration, which prevents crack propagation. Therefore, the failure strength of the composite material was effectively improved. When the W content was between 45% and 60%, the adhesion of the Al-PTFE binder phase to the W particles was basically saturated, and the increases in static yield strength and failure strength were limited.Figure4 and Table 3 show that the yield strength and compressive strength of the material increased gradually as the W content in the composite increased under high strain rate conditions, which is similar to the trend at low strain rates. However, the strain at break decreased as the W content increased, indicating that the addition of W particles reduced the plasticity of the composite.Figure12 and Table 3 show that the yield strength, compressive strength, and strain at break of the Al/PTFE/W energetic materials were significantly improved under a high strain rate compared with the mechanical properties under static compression. The intensity increased as the strain rate increased, which had an obvious strain rate effect. In addition, the Al/PTFE/W energetic materials exhibited diminishing hardening properties after yielding under low strain rate conditions and exhibited incremental hardening properties under high strain rate conditions. Therefore, when the Al/PTFE/W energetic materials were subjected to impact loading, a secondary superposition of shock waves was formed inside the material, which helped to excite the activity of the Al/PTFE/W material, which then reacted to release energy.


### 3.2. Impact Release Energy Characteristics

Due to the limitations of the experimental conditions, it was impossible to directly measure the energy released by the Al/Fe energetic jet under impact loading. Therefore, it was necessary to establish a correlation between the measured overpressure signal and the energy release value. First, the pressure signal was divided into two stages: the rising stage and the releasing stage. The rising stage was equivalent to the sealed chamber environment. Thus, the relationship between the pressure value and energy value of the sealed chamber can be given by [16](1)dQdt=Vγ−1∂p∂t+γpVmγ−1dmdt,where Q is the increase in the internal energy of the closed chamber, P is the pressure in the chamber, V is the volume of the chamber, m is the gas mass in the chamber, and γ is the adiabatic index, for which a value of 1.4 was chosen.Ames considered the rising stage of the overpressure in a chamber to take only a few milliseconds and the pressure-time relationship to be basically linear. Therefore, the presence of pressure relief holes can be neglected in the rising stage of the pressure curve. If the chamber is closed and the gas mass in the chamber is constant, equation (1) can be simplified as follows [16]:(2)ΔQ=Vγ−1ΔP.Equation (2) is the relationship between the peak value of the pressure in the container and the incremental change in the jet release energy during the rising stage of the pressure curve. When P reaches the peak value of pressure, Q is the maximum energy released during the rising stage of the pressure curve.The main mechanism of the chemical reaction of metal under impact conditions involves the shockwave changing the internal structure and order of the material and causing a certain increase in the temperature [17], resulting in a high-temperature and high-pressure environment in which a local hot spot forms and a rapid diffusion reaction occurs. The reaction principle for energetic materials, such as explosives, is basically the same. Therefore, the impact energy level becomes a scale for judging whether a chemical reaction can be induced in the energetic material and the degree of reflection. Walker and Wasley proposed a method for calculating the shockwave energy, as shown in [18](3)E=PUPt,(4)t=min2rUS1,2hUS2,(5)UP=−ρ2C2+ρ1C1+2ρ1S1V±ρ2C2+ρ1C1+2ρ1S1V2+4ρ1ρ2S2−ρ1S1C1V+S1V21/22ρ2S2−ρ1S1,where P is the pressure of the jet impact loading, t is the pulse loading time, as shown in equation (4), r is the radius of the jet when impacting a semi-infinite target, such as thick concrete, h is the thickness of a limited target, such as a thin steel target (thinner than the jet diameter), and UP is the jet particle velocity, as shown in equation (5). The values of the impact parameters are shown in Table 4.Table 4
Values of the impact parameters.
ρ1a (kg/m3)ρ2b (kg/m3)C1c (m/s)C2d (m/s)S1eS2fVg (m/s)UP (m/s)US2h (m/s)37507850333445691.441.49383513006506aThe density of the jet. bThe density of the target. cThe acoustic velocity of the jet. dThe acoustic velocity of the target. eThe empirical parameters of the jet. fThe empirical parameters of the target. gThe velocity of the jet. hThe shock wave velocities of the target.Figure13 shows the original signal recorded by the sensor. There was a brief pulse jump in the initial phase of the signal when the charge was ignited, and then a short pulse peak was generated. This was due to the detonation wave formed by the detonation of the charge propagating faster in the air than in the jet, and the shock pulse was generated before the jet reached the test container. The two pulse signals mentioned above should be eliminated in the analysis of the jet energy release. The rapid rise of the detonation pulse and slow decrease of the peak value indicate that the exothermic chemical reaction induced by the energetic jet under the impact produced a pressure. There was a short platform as the pulse decreased, which indicates that the secondary reaction of the residual substance of the energetic jet occurred after the impact, and the released energy was in balance with the dissipated energy. The duration of the platform can also be used to indicate if the energetic material reacted adequately. Regular waveform oscillations occurred during the rise and fall of the voltage signal. This was due to a small sloshing of the container and the reflection of the shock wave in the container wall under the high-speed impact of the jet. The data needed to be filtered and smoothed. The following content was analyzed after smoothing and filtering the pressure-time curve unless otherwise specified.Figure 13
The raw signal recorded by the sensor.Figure14 shows the energy release phenomenon of impacting the 4 mm steel plate with the Al/PTFE/W jets with 45% W content. The intense chemical reaction occurred after the jet impacted the steel target, accompanied by luminescence and heating. There was a clear jet of sparks in the pressure relief hole, and the reaction reached the most violent state at 25 ms. Figure 15 shows the pressure-time curve generated when the Al/PTFE/W energetic jets with different W contents impacted the 4 mm diaphragm. Figure 16 shows the pressure-time curve generated when the Al/PTFE/W energetic jets with a mass content of 45% W hit different target thicknesses.Figure 14
Energy release phenomenon of impacting a 4 mm steel plate with the Al/PTFE/W jets with a 45%W content.
(a)(b)(c)(d)Figure 15
Comparison of the pressure-time curves of the Al/PTFE/W energetic jets with differentW contents.Figure 16
Comparison of the pressure-time curves of the target plates with different thicknesses.Figure17 compares the pressure peak and energy release values of the Al/PTFE/W energetic jets with different W contents. Figure 18 compares the platform time and pressure duration of the Al/PTFE/W energetic jets with different W contents. Figure 19 compares the pressure peak and energy release of the Al/PTFE/W energetic jets for different target thicknesses. Figure 20 compares the platform time and pressure duration of the Al/PTFE/W energetic jets for different target thicknesses.Figure 17
Comparison of the overpressure peak value and energy release value of energetic jets with differentW contents.Figure 18
Comparison of the platform time and pressure duration for the Al/PTFE/W energetic jets with differentW contents.Figure 19
Comparison of the peak pressure and energy release of the Al/PTFE/W energetic jets for different target thicknesses.Figure 20
Comparison of platform time and pressure duration for the Al/PTFE/W energetic jets for different target thicknesses.Figures15 and 17 and Table 2 show that, as the W content in the energetic jet increased, the pressure peak and energy release values of the jets impacting the 4 mm thick target plate first increased and then decreased. When the W content was 45%, the pressure peak and total release energy of the Al/PTFE/W energetic jet were the highest. When the W content was less than 45%, the intensity of the Al/PTFE/W energetic jet was relatively low, and some materials broke and scattered after being subjected to impact loading, which did not have a subsequent reaction. When the W content reached 60%, the content of the Al/PTFE capable of a chemical reaction was low, thereby reducing the efficiency of the reaction release energy.Figures16 and 18 and Table 3 show that when the W content was 45%, the pressure platform time and pressure duration of the Al/PTFE/W energetic jets were also the longest, indicating that the Al/PTFE/W energetic jets with a W content of 45% had the longest reaction time and the highest energy release efficiency after impacting the target.Figures16 and 19 and Table 3 show that, as the thickness of the target increased, that is, as the impact energy of the Al/PTFE/W energetic jets increased, the pressure peak and energy release values increased. When the thickness of the target plate was 4 mm and 5 mm, the energy generated by the Al/PTFE/W energetic jets was almost the same. This result shows that when the impact energy was 106.1 MJ/m2, the chemical reaction of the Al/PTFE/W (45%) energetic jets was saturated.Figures16 and 20 show that the secondary reaction time and the total energy release time of the Al/PTFE/W energetic jets impacting different thickness targets varied greatly. When the jet impacted a 2 mm target (the impact energy was 53.1 MJ/m2), the secondary reaction time of the jet residual material was very short at only 5.6 ms. In contrast, when the jet impacted a 4 mm target (the impact energy was 106.1 MJ/m2), the secondary reaction time was 47.5 ms. When the impact energy continued to increase, the secondary reaction time and the total energy release time decreased. This indicates that the excessive impact energy caused the jet to dissipate to an elevated degree when it hit the target, resulting in a decrease in the energetic materials that can induce chemical reactions.In summary, the results of these experiments demonstrate that the energy release of the Al/PTFE/W energetic jets under loading was influenced by theW content and impact energy.


## 3.1. Mechanical Properties in Compression

Figure11 shows an SEM micrograph of the fractures in the PTFE matrix. The main crack formed in the PTFE matrix is a fiber fracture, as shown by the arrow in the figure. It was formed because Al and W particles rubbed against each other during the compaction process, absorbing most of the stress, and the energetic material was in the strain hardening stage. When the stress reached the compressive strength, the microcracks in the material further expanded and met, leading to the fracture of the energetic materials.Figure 11
SEM micrograph of the fractures in the PTFE matrix.Figure3 shows the quasistatic compressive stress-strain curve of the Al/PTFE/W energetic material. Table 2 shows the quasistatic mechanical properties of the Al/PTFE/W energetic materials in compression. Figure 4 shows the stress-strain curves of the Al/PTFE/W energetic materials with different W contents (the strain rate was 4500 s−1). Figure 12 is the stress-strain curve of Al/PTFE/W energetic materials at different strain rates in the same ratio (the W content was 45%). Table 3 shows the experimental scheme and dynamic mechanical properties of the Al/PTFE/W materials.Table 2
Quasistatic compressive mechanical properties of the Al/PTFE/W materials.
NumberMass ratio (W/Al/PTFE) %Yield stress (MPa)Failure stress (MPa)10/26.5/73.516.3118.5225/19.9/55.121.7423.96345/14.6/40.427.3329.85460/10.6/29.428.0830.11Figure 12
Stress-strain curves of Al/PTFE/W energetic materials at different strain rates with the same ratio (theW content was 45%).Table 3
Dynamic mechanical properties of the Al/PTFE/W materials.
Mass ratio ofW (%)Strain rate (s−1)Yield stress (MPa)Failure stress (MPa)Fracture strain0450046.366.280.23825450052.8974.910.22545450058.2588.360.22460450059.7892.580.187450.0127.2229.850.12145100033.5648.550.14745300047.5172.620.18345450058.2588.360.22445580063.77114.290.325Figure3 shows that, in the early stage of the curve, the material strain and stress were linearly elastic. When the strain continued to increase to a specific value, the rate of rise of the curve sharply decreased, showing a nonlinear state, and the material exhibited a yielding phenomenon.Figure3 and Table 2 show that the static yield strength and failure strength of the Al/PTFE/W energetic materials increased as the W content increased because the W particles had high strength and hardness and a body-centered cubic structure, which can be evenly distributed in the face-centered cubic unit cell of the aluminum particles, play a bonding role, and improve the yield strength of the composite material. In addition, as the W content increased, the Al-PTFE binder phase could bond to additional W particles, improving the contact area between the particles and increasing interfacial infiltration, which prevents crack propagation. Therefore, the failure strength of the composite material was effectively improved. When the W content was between 45% and 60%, the adhesion of the Al-PTFE binder phase to the W particles was basically saturated, and the increases in static yield strength and failure strength were limited.Figure4 and Table 3 show that the yield strength and compressive strength of the material increased gradually as the W content in the composite increased under high strain rate conditions, which is similar to the trend at low strain rates. However, the strain at break decreased as the W content increased, indicating that the addition of W particles reduced the plasticity of the composite.Figure12 and Table 3 show that the yield strength, compressive strength, and strain at break of the Al/PTFE/W energetic materials were significantly improved under a high strain rate compared with the mechanical properties under static compression. The intensity increased as the strain rate increased, which had an obvious strain rate effect. In addition, the Al/PTFE/W energetic materials exhibited diminishing hardening properties after yielding under low strain rate conditions and exhibited incremental hardening properties under high strain rate conditions. Therefore, when the Al/PTFE/W energetic materials were subjected to impact loading, a secondary superposition of shock waves was formed inside the material, which helped to excite the activity of the Al/PTFE/W material, which then reacted to release energy.


## 3.2. Impact Release Energy Characteristics

Due to the limitations of the experimental conditions, it was impossible to directly measure the energy released by the Al/Fe energetic jet under impact loading. Therefore, it was necessary to establish a correlation between the measured overpressure signal and the energy release value. First, the pressure signal was divided into two stages: the rising stage and the releasing stage. The rising stage was equivalent to the sealed chamber environment. Thus, the relationship between the pressure value and energy value of the sealed chamber can be given by [16](1)dQdt=Vγ−1∂p∂t+γpVmγ−1dmdt,where Q is the increase in the internal energy of the closed chamber, P is the pressure in the chamber, V is the volume of the chamber, m is the gas mass in the chamber, and γ is the adiabatic index, for which a value of 1.4 was chosen.Ames considered the rising stage of the overpressure in a chamber to take only a few milliseconds and the pressure-time relationship to be basically linear. Therefore, the presence of pressure relief holes can be neglected in the rising stage of the pressure curve. If the chamber is closed and the gas mass in the chamber is constant, equation (1) can be simplified as follows [16]:(2)ΔQ=Vγ−1ΔP.Equation (2) is the relationship between the peak value of the pressure in the container and the incremental change in the jet release energy during the rising stage of the pressure curve. When P reaches the peak value of pressure, Q is the maximum energy released during the rising stage of the pressure curve.The main mechanism of the chemical reaction of metal under impact conditions involves the shockwave changing the internal structure and order of the material and causing a certain increase in the temperature [17], resulting in a high-temperature and high-pressure environment in which a local hot spot forms and a rapid diffusion reaction occurs. The reaction principle for energetic materials, such as explosives, is basically the same. Therefore, the impact energy level becomes a scale for judging whether a chemical reaction can be induced in the energetic material and the degree of reflection. Walker and Wasley proposed a method for calculating the shockwave energy, as shown in [18](3)E=PUPt,(4)t=min2rUS1,2hUS2,(5)UP=−ρ2C2+ρ1C1+2ρ1S1V±ρ2C2+ρ1C1+2ρ1S1V2+4ρ1ρ2S2−ρ1S1C1V+S1V21/22ρ2S2−ρ1S1,where P is the pressure of the jet impact loading, t is the pulse loading time, as shown in equation (4), r is the radius of the jet when impacting a semi-infinite target, such as thick concrete, h is the thickness of a limited target, such as a thin steel target (thinner than the jet diameter), and UP is the jet particle velocity, as shown in equation (5). The values of the impact parameters are shown in Table 4.Table 4
Values of the impact parameters.
ρ1a (kg/m3)ρ2b (kg/m3)C1c (m/s)C2d (m/s)S1eS2fVg (m/s)UP (m/s)US2h (m/s)37507850333445691.441.49383513006506aThe density of the jet. bThe density of the target. cThe acoustic velocity of the jet. dThe acoustic velocity of the target. eThe empirical parameters of the jet. fThe empirical parameters of the target. gThe velocity of the jet. hThe shock wave velocities of the target.Figure13 shows the original signal recorded by the sensor. There was a brief pulse jump in the initial phase of the signal when the charge was ignited, and then a short pulse peak was generated. This was due to the detonation wave formed by the detonation of the charge propagating faster in the air than in the jet, and the shock pulse was generated before the jet reached the test container. The two pulse signals mentioned above should be eliminated in the analysis of the jet energy release. The rapid rise of the detonation pulse and slow decrease of the peak value indicate that the exothermic chemical reaction induced by the energetic jet under the impact produced a pressure. There was a short platform as the pulse decreased, which indicates that the secondary reaction of the residual substance of the energetic jet occurred after the impact, and the released energy was in balance with the dissipated energy. The duration of the platform can also be used to indicate if the energetic material reacted adequately. Regular waveform oscillations occurred during the rise and fall of the voltage signal. This was due to a small sloshing of the container and the reflection of the shock wave in the container wall under the high-speed impact of the jet. The data needed to be filtered and smoothed. The following content was analyzed after smoothing and filtering the pressure-time curve unless otherwise specified.Figure 13
The raw signal recorded by the sensor.Figure14 shows the energy release phenomenon of impacting the 4 mm steel plate with the Al/PTFE/W jets with 45% W content. The intense chemical reaction occurred after the jet impacted the steel target, accompanied by luminescence and heating. There was a clear jet of sparks in the pressure relief hole, and the reaction reached the most violent state at 25 ms. Figure 15 shows the pressure-time curve generated when the Al/PTFE/W energetic jets with different W contents impacted the 4 mm diaphragm. Figure 16 shows the pressure-time curve generated when the Al/PTFE/W energetic jets with a mass content of 45% W hit different target thicknesses.Figure 14
Energy release phenomenon of impacting a 4 mm steel plate with the Al/PTFE/W jets with a 45%W content.
(a)(b)(c)(d)Figure 15
Comparison of the pressure-time curves of the Al/PTFE/W energetic jets with differentW contents.Figure 16
Comparison of the pressure-time curves of the target plates with different thicknesses.Figure17 compares the pressure peak and energy release values of the Al/PTFE/W energetic jets with different W contents. Figure 18 compares the platform time and pressure duration of the Al/PTFE/W energetic jets with different W contents. Figure 19 compares the pressure peak and energy release of the Al/PTFE/W energetic jets for different target thicknesses. Figure 20 compares the platform time and pressure duration of the Al/PTFE/W energetic jets for different target thicknesses.Figure 17
Comparison of the overpressure peak value and energy release value of energetic jets with differentW contents.Figure 18
Comparison of the platform time and pressure duration for the Al/PTFE/W energetic jets with differentW contents.Figure 19
Comparison of the peak pressure and energy release of the Al/PTFE/W energetic jets for different target thicknesses.Figure 20
Comparison of platform time and pressure duration for the Al/PTFE/W energetic jets for different target thicknesses.Figures15 and 17 and Table 2 show that, as the W content in the energetic jet increased, the pressure peak and energy release values of the jets impacting the 4 mm thick target plate first increased and then decreased. When the W content was 45%, the pressure peak and total release energy of the Al/PTFE/W energetic jet were the highest. When the W content was less than 45%, the intensity of the Al/PTFE/W energetic jet was relatively low, and some materials broke and scattered after being subjected to impact loading, which did not have a subsequent reaction. When the W content reached 60%, the content of the Al/PTFE capable of a chemical reaction was low, thereby reducing the efficiency of the reaction release energy.Figures16 and 18 and Table 3 show that when the W content was 45%, the pressure platform time and pressure duration of the Al/PTFE/W energetic jets were also the longest, indicating that the Al/PTFE/W energetic jets with a W content of 45% had the longest reaction time and the highest energy release efficiency after impacting the target.Figures16 and 19 and Table 3 show that, as the thickness of the target increased, that is, as the impact energy of the Al/PTFE/W energetic jets increased, the pressure peak and energy release values increased. When the thickness of the target plate was 4 mm and 5 mm, the energy generated by the Al/PTFE/W energetic jets was almost the same. This result shows that when the impact energy was 106.1 MJ/m2, the chemical reaction of the Al/PTFE/W (45%) energetic jets was saturated.Figures16 and 20 show that the secondary reaction time and the total energy release time of the Al/PTFE/W energetic jets impacting different thickness targets varied greatly. When the jet impacted a 2 mm target (the impact energy was 53.1 MJ/m2), the secondary reaction time of the jet residual material was very short at only 5.6 ms. In contrast, when the jet impacted a 4 mm target (the impact energy was 106.1 MJ/m2), the secondary reaction time was 47.5 ms. When the impact energy continued to increase, the secondary reaction time and the total energy release time decreased. This indicates that the excessive impact energy caused the jet to dissipate to an elevated degree when it hit the target, resulting in a decrease in the energetic materials that can induce chemical reactions.In summary, the results of these experiments demonstrate that the energy release of the Al/PTFE/W energetic jets under loading was influenced by theW content and impact energy.


## 4. Conclusions

The main contribution of this paper is a study of the mechanical properties and energy release characteristics of Al/PTFE/W energetic materials. The influence of different material ratios and impact conditions on the energy release characteristics of Al/PTFE/W energetic jets was obtained by constructing a dynamic energy harvesting test system. The following conclusions are drawn from the study:(1)
The static yield strength and failure strength of the Al/PTFE/W composites increase as theW content increases. When the W content is between 45% and 60%, the adhesion of the Al-PTFE binder phase to the W particles is substantially saturated, and the increases in the static yield strength and failure strength of the composites are limited.(2)
At high strain rates, the Al/PTFE/W composites have a significant strain rate effect. As theW content in the composite increases, the yield strength and compressive strength of the material increase gradually, but the strain at break decreases as the W content increases. In addition, the Al/PTFE/W energetic materials exhibit diminishing hardening properties after yielding under low strain rate conditions and increasing hardening properties under high strain rate conditions.(3)
When theW content is 45%, the Al/PTFE/W energetic energy jet pressure peak, total release energy, pressure platform duration, and total pressure duration are the highest. As the impact energy increases, the pressure peak and energy release values of the energetic jets increase. When the impact energy reaches 106.1 MJ/m2, it induces a sufficient chemical reaction and the longest secondary reaction time of the Al/PTFE/W (45%) energetic jet.The results show that PTFE material can be applied to jets and release energy under impact loading, which provides a theoretical and experimental basis for the application of high-energy jets. The next step will focus on determining if, compared with the inert jet, the PTFE jet has a damage enhancement effect when penetrating the target.



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*Source: 8942523-2020-08-30.xml*