Initial and residual velocities of the projectiles in single- and triple-impact simulations.
\r\n\tThe objective of this book is to provide knowledge appropriate for students, scientists, both experienced and inexperienced horticulturists and, in general, for anyone wishing to obtain knowledge and experience on the topic of olive culture (and increasing productivity and improving product quality).
\r\n\tIt will cover all aspects of production from site selection, recommended varieties, pest and disease control, through to primary and secondary processing.
The deminers are the backbone of mine action. They consider the incidence of accidents during demining operations as low, only once per 25 work years. Most of them have lost family and friends from mine accidents, and in some cases, they have experienced the terrible face of war. An accident is something that happens. But when it happens, the life of the deminer depends on the personal protective equipment, he wears.\n
The consequences of an accident go beyond the injury of a deminer. Their occurrences affect the morale of the whole demining operation, maiming the motivation of the endeavour. Personal protective equipment serves this way a double purpose. The obligation of the scientific community is to provide with efficient tools to the manufacturers to tune the performance of their products, and clear guidelines to the end users for selecting them.\n
The physics of anti-personnel (AP) mine explosions may be examined from a science point of view or from a functional point of view. These two perspectives are complementary. The scientific approach aims at describing the details of the fundamental processes that come into play when an AP mine is actuated. This might involve chemistry, physics, material science, etc. The functional approach aims more at the end state, trying to describe the terminal effects of the mine against people and equipment.\n
All mine explosions share the same fundamental elements: a chemical reaction transforms an explosive material into a hot, high-pressure gas. This gas then performs work, in a thermodynamics sense, on its surroundings. This could be fragmenting the casing of the mine, pushing soil or water, or driving a shock in neighbouring air. It could also be damaging an object or injuring a person nearby. Chemistry and physics provide mathematical equations to describe and quantify these processes. Waves are one of the fundamental quantities in nature. They appear in almost every branch of physics, being associated with light, heat, electromagnetism, etc. In the case of the explosions, the transmission of mechanical waves through a deformable or elastic medium is the most fundamental phenomenon. Such waves originate in the displacement of some portion of an elastic medium from its normal position, causing it to oscillate about an equilibrium position. Because of the elastic properties of the medium, the disturbance is transmitted from one layer to the next. This disturbance, or wave, consequently progresses through the medium. Energy can be transmitted over considerable distances by wave motion. Thus, waves might be construed as being one of nature’s mechanisms to transmit and propagate information to materials. Therein lays their importance in describing the physics of mine explosions. This includes the propagation of a detonation wave through the explosive and the subsequent behaviour of the explosive by-products with their surroundings.\n
When an explosive device detonates, a blast wave is generated, along with multiple accelerating fragments, propagating away to all directions. The blast over-pressure, in extreme conditions, when it interacts with an individual, may cause amputations and shearing of body parts. It may also cause damage to the ears, which can lead to permanent hearing loss, and due to rapid acceleration to the head, a range of concussive injuries may occur, which can be lethal. The fragmentation of the casing of an explosive device (primary fragmentations), together with dirt, pebbles and debris from the ground (secondary fragmentations), are accelerated by the violently expanding gases of the explosive to supersonic velocities. These fragments, if no adequate ballistic protection is worn, can cause perforations to critical parts of the body resulting to even death.\n
Despite significant variations in geometry, mass and materials, all fragmentation mines share the same basic elements and the same working principle. There are four main elements to a fragmentation mine: a main explosive charge, a fragmentation case, a detonator and some actuation (fuse) system. Triggering the fuse usually releases a spring-loaded striker that hits the detonator. The latter is simply a small receptacle that contains a highly sensitive explosive that can be ignited by a simple mechanical hit. This first explosion ramps up to ignite the high explosive that makes up the main charge of the mine. It should be noted that a high explosive is usually much less sensitive than the explosive used in the detonator. This makes it safer to handle and transport the munitions. Detonators are much more sensitive, requiring special packaging and careful handling.\n
The explosion of the detonator causes the main charge to detonate. As the shock front propagates through the high explosive, it transforms the solid (or liquid) explosive into detonation products. Given that the maximum physical dimension of the main charge for the average fragmentation mine is of the order of 100–200 mm, and assuming an average shock front velocity of 7 km/sec, it takes approximately 15–30 μs to transform the solid explosive into detonation products. In the thermodynamics sense, this mass of hot, high-pressure gas then performs work on its surroundings. For a fragmentation mine, this means breaking up the metallic case into a large number of small fragments and propelling these fragments away from the centre of the explosion at high velocity.\n
The aim of the fragmentation mines is to cause as many casualties as possible to the opponent, therefore they are extremely dangerous. Current deminer PPE are not able to protect from fragmentation mines.\n
An average blast anti-personnel mine contains about 110 g of explosive. The maximum reported charge mass is 300 g and the minimum is 28 g. Blast mines are typically classified in terms of small (less than 50 g explosive), medium (50–100 g of explosive) and large (greater than 100 g of explosive). The most common explosive used in blast mines is Trinitrotoluene (TNT), with Composition B, RDX and other explosives being less common. Most blast mines are concealed in ground.\n
The vast majority of blast mines are pressure actuated. Two scenarios prevail against this class of mines. In the first scenario, the victim steps on the mine and detonates it as per the intent of the design. In the second scenario, the victim is conducting a mine clearance drill and is in a low-down position when the mine goes off. The main difference between these scenarios is the stand-off distance between the mine and the victim.\n
A blast mine is a simple device that usually consists of a plastic container filled with the main explosive charge, a detonator and a mechanical actuation (fuse) system. Most detonators rely on stab initiation or a friction sensitive compound to start the combustion process that quickly transitions to a detonation. When a downward force of sufficient magnitude (often less than 10 kg) is applied to the fuse, the mine detonates. It takes between 5 and 10 μs to transform the explosive charge into detonation products. As the detonation wave reaches the mine case, the shock is transmitted to the case, then to the soil and finally, to the sole of footwear or to air. Similar to fragmentation mines, the case breaks up due to the combined effect of the transmitted stress wave and the extreme pressure from the detonation products. However, since the ignition temperature of plastics is much lower than for metals, the case materials also start to combust and continue to do so as they are ejected by the expanding gas. One can surmise that a blast mine relies on three main mechanisms to impart energy to an object nearby. First, it transmits a high-amplitude stress wave into the soil, footwear and air. Secondly, the detonation products expand and perform work on the immediate environment. Thirdly, part of the explosive energy imparts motion to the soil that is then ejected at relatively low velocity (< 1000 m/s) and strikes the victim.\n
Blast mines are typically used to inflict severe injuries to the enemy unit, causing it to stand in place to attend to the wound. Because of the severity of the injuries, it inflicts a major hit to the morale of the survivors. Current PPE are designed to protect the life of the deminer from all known AP blast mines and reduce the severity of possible injuries.\n
The term ‘sub-munitions’ generically describes any item of ordnance carried in or ejected by a dispenser. Anything from a scatterable mine to a remotely delivered radio jammer might be described as a sub-munition, the enormous diversity making it difficult to define their characteristics and effects. A wide variety of launch or delivery system is used, including missiles, rockets, projectiles and mortars. Sub-munitions warheads for these types of land service ammunitions are normally called ‘carriers’ while bombs containing sub-munitions are generally known as ‘cluster bombs’. Some air-delivered sub-munitions are dispensed from canisters that remain attached to the aircraft; examples include the British JP-233, German MW-1 and Russian KMG-U.\n
Once the dispenser is fired, launched or dropped, opening is normally determined by a time delay or proximity fuse. The sub-munitions are normally dispensed in one of three ways: base ejection, nose ejection or case rupture. Base ejection is most common in projectiles, but is also used in other carriers and some cluster bombs. In both, nose ejection and base ejection, the fuse usually initiates a small propellant charge that opens the carrier and pushes the sub-munitions out. Case rupture, used in some rocket and missile warheads, sometimes involves the use of small linear cutting charges to split the casing and may also use a propellant charge to eject the sub-munitions. Most (but not all) sub-munitions incorporate a separate arming mechanism (such as wind-driven vanes), which functions, after ejection, as the sub-munition falls. The majority use some form of stabilisation (normally, the fins, a streamer or a chute) to bring them into a nose-down attitude but some are designed to spin in the air stream and use this movement for arming. Since sub-munitions disperse after ejection, the density of the impact footprint is dependent on the speed and altitude at which the dispenser opens. Most sub-munitions are designed to detonate on impact but some (such as scatterable mines) are victim operated or incorporate delays.\n
Current practices for assessing the performance of PPE have been proven significant for providing basic certified measurements to the humanitarian demining community but they lack physical reasoning. This has led to designs of PPE that over-estimate (expensive and non-ergonomic), or under-estimate the threats deminers are dealing with. The problem of designing PPE is the compromise between adequate protection and comfortability. A better protection is required against various types of threats (splinters, debris, fragments, blast, etc.) but the overall weight and the thermal impact have to remain acceptable for the demining personnel.\n
Currently, there are mainly two standardised techniques used by the manufacturers to test and certify their products according to the International Mine Action Standards (IMAS) provided by the United Nations Mine Actions Service (UNMAS). Multiple single ballistic impact tests are used to assess the V50, which is the velocity at which there is 50% probability of perforation, in order to test the impact resistance of the PPE against multiple fragment impacts usually generated by an anti-personnel blast-mine explosion event, according to the North Atlantic Treaty Organization (NATO) STANAG 2920. Blast tests are also used to test the structural integrity of the PPE against the blast loads of the explosion. These techniques have helped the humanitarian demining community to understand the necessity of standardised performance and the implementation of validating tools in order to provide the men on the field with certified PPE. However, the above-mentioned techniques have certain limitations. The single impact tests are based on the hypothesis that the effect of a simultaneous multiple-impact event can be simulated with single-impact events, something that is contradictory to the observations on the field. For example, police and armed forces have reported armour system failure when multiple shots impact within certain space and time intervals, called the “double-tap” technique. Also, the blast tests are not that enlightening if expensive measurement devices are not implemented as well, such as biofidelic “crash test” mannequins that cost a few hundreds of thousands of euros. The last point of this critique is that the assumption of analyzing two concurrent phenomena separately, viz. the blast wave over-pressure and the impacts of the fragments, would lead to an accurate and detailed description of the explosion effects, is already a farfetched hypothesis.\n
In 2013, a novel technique for testing protective materials against fragment impacts was presented. Three projectile impacts within close space and time proximity were incorporated in order to simulate the effects of multiple fragment impacts on protective structures. These fragments are typically generated when an explosive device detonates, and they are lethal if no sufficient protection is worn.\n
The announced ballistic performance of a protective material is highly dependent on the methodology that is followed to assess it . A few attempts have been made to examine the ballistic response of a protective material under near-simultaneous multi-site impacts [2–5]. Qian et al. investigated the terminal effects of fragment cluster impacts on a metallic plate [2,3]. Norris developed a five steel cube launcher for hazard assessments for non-nuclear munitions . Deka et al. developed an air gun triple launcher for conducting near-simultaneous triple-impact tests against S2-glass/epoxy composite laminates . Kechagiadakis et al. examined the response of fragmentation vests against dual impacts from 9 mm to investigate the effect of proximity .\n
After one impact occurs, the material transfers the kinetic energy of the projectile away from the point of impact. The path on which the energy travels depends on the micro- and macro-mechanical structural complexity of the material. Most of the ballistic grade materials are highly complex, heterogeneous and anisotropic. This complexity affects the way the internal stress waves manifest and propagate. Orthotropic materials polarise the three basic (pure) stress waves, the longitudinal and the two shear, on their two main axis of symmetry (for plates) causing the creation of high energy cross-like stress streams . Dynamic interactions of multi-site impacts generate multiple stress wave patterns that superimpose elevating the stress-strain energy density of the material in levels that may decrease its ballistic performance.\n
Moreover, a target plate after being impacted is beginning to deflect towards the direction of the velocity vector of the impactor till it reaches a maximum. After that point, the transverse wave that caused the deflection is reflected initiating a backwards motion of the plate that begins to oscillate generating Lamb waves. Second and third projectile impacts on an oscillating plate may result to a different terminal effect depending on the phase of this oscillation. A first consequence would be a variant relative velocity the second or third impactor would have with the target plate moving towards or away from the impactor. A second consequence would be the inclination of the deflected plate causing an oblique impact. This effect is more apparent to softer target materials, such as textiles, than metals. For this reason, the present article is focused on the response of aramid fabrics against multiple small size medium velocity impactors.\n
The triple-impact technique is based on the idea that the interactions between multiple impacts influence the ballistic performance of the target material. The complex phenomena that occur during the impact process result in variant responses. These responses are probabilistic, so an enormous number of tests would be required for a sufficiently accurate statistical analysis. Alternatively, with the use of numerical simulations, it is possible to acquire adequate understanding of such a phenomenon. To realise these simulations, a typical aramid fabric is modelled using a homogenised orthotropic elastic shell plate to exhibit the stress wave propagating patterns and three fragment-simulating projectile (FSP) 5.56 mm simple elastic solids are chosen as projectiles . Different configurations of projectile formations with respect to the material’s axes of elastic symmetry are modelled in order to acquire a more thorough understanding of the variations in the impact interactions that may be encountered in real ballistic triple impact tests.\n
The parameters that influence these responses have non-constant weighting factors. There are two major categories of parameters. The ones that have been examined thoroughly in classic ballistics and the ones more related to the interactions of multiple impacts.\n
The influence of the projectile formation on the fabric’s ballistic response is examined for four cases of triple impacts. The synergistic effects of stress waves and the contact stress concentrations differ from case to case. This differentiation adds further probabilistic properties to the phenomena of terminal ballistics in the cases of multiple impacts. The distance between the projectiles is set to 22.5 mm (Figure 1).\n\n
In this configuration, two of the projectile impacts are aligned with one of the main axis of elastic symmetry of the material. Due to the orthotropic symmetry of the material, the waves exhibit pure longitudinal and shear modes on the main material axes of symmetry and hence they propagate faster. These two impacts interact with each other more intensely than with the third impact because of the constructive/destructive interference their wave stress streams invoke. In this set of simulations, the two on-axis impacting projectiles present generally higher residual velocities than the third off-axis. Characteristic examples of this phenomenon are the simulations at 420 m/s in which the off-axis impacting projectiles are either blocked or have significantly lower residual velocities (51 m/s).\n
Given the orthotropic elasticity of the fabric and the equilateral formation of the three projectiles, there are infinite different rotational configurations that may result in significant deviations of the apparent ballistic performance. However, the rotational ranges in which these configurations may appear in a triple ballistic test are only between 0o and 15o. Beyond the 15o, the line that connects two of the three impact points gradually converges with the second axis of elastic symmetry of the fabric. In this case, the interactions of the three impacts exhibit less dependency on the degree of anisotropy of the fabric.\n
The FSPs are projectiles with low length/diameter ratio, resulting in unstable flight after they leave the barrel. Usually, such a problem is minimised by inducing rotational movement on the projectiles, balancing them gyroscopically. While in single-impact tests, this rotational movement induces indifferent ballistic results, in the triple impact case, small deviations may appear. Because of the non-axisymmetrically shaped tip of the FSP, the contact forces that manifest during an impact are not constant along its nose-tip surface. Two areas of stress concentrations appear at the 90o edges of the FSPs tips.\n
Random rotational orientation of the FSPs result in random stress concentration points on the target and random stress waves source points. Cases 1 and 2 are re-examined for 90o rotated projectiles (Figure 2). The resultant residual projectile velocities opposed to the initial velocities for all four cases can be found on (Figure 3).\n\n\n
The distances between the projectiles, and between the projectiles impact points and the plate’s edges were taken into account for calculating the times of arrival of the quasi-longitudinal incident and reflected stress waves. Three distinct periods are observed. In the first period, the projectile has perforated the plate before the stress waves from the other two impacting projectiles reach the point of its impact. The third period is characterised by the influence of the reflected stress waves bouncing at the edges of the plate. The second period is defined between the arrival of the incident and reflected stress waves. In the first period, the projectiles perforate the plate without the influence of multiple-impact interactions due to high initial velocities, over 125% V50. Most cases of multiple plate perforations occur in the second period during which the constructive/destructive interactions coupled with the contact forces and the deflection of the plate have increased probability of failure initiation. In the third, the projectiles have low residual velocities. In Table 2, the times of block and initiation of perforation, after contact of the projectiles, are presented.\n\n
The times or arrival of stress waves were calculated using the composite material mechanics.\n
Supposedly, there is an orthotropic plate with axes of material symmetry represented by three dashed arrows 1, 2 and 3 (Figure 4). A projectile impacts the plate (at its centre for illustration purposes). Then, another projectile impacts at a second impact point. The line that is defined by the two impact points defines the path on which the interactions, from and between the two impacts, will occur (marked with red). This line, however, is having an angle in relation to one of the material’s axes of symmetry, in this case the second axis.\n
Then, the stiffness matrix of the plate is \n
The material response in directions other than the “on-axis” directions can be calculated by rotating the stiffness matrix, in this case by θο.\n
This it is possible to calculate the longitudinal stress wave velocities with the formula:\n
m = cos(ϑ), n = sin(ϑ).\n
It is possible to draw a curve of the stress wave velocities as a function of degrees (material anisotropy)(Figure 5).\n\n
|Initial\n||Single\n||Triple\n||90 Triple\n||Triple 15\n||90 Triple 15\n|
|Initial velocity\n||Time of block/perforation (μs)\n|
|Single\n||Triple\n||90 Triple\n||Triple 15\n||90 Triple 15\n|
Most protective materials apart from their directional composition (anisotropy) have a degree of heterogeneity. This discontinuity within their structure exacerbates the anisotropic distribution of stress waves. As the stress waves propagate inside the material, the internal boundaries between different material segments determine whether the propagation continues or reflects. At the interface between “internal” boundaries within the bulk of the structure, part of the stress waves is transmitted and the rest is reflected depending on the material impedance ratios. The heterogeneity and the anisotropy determine the distribution of the energy of an impact, thus the damage propagating patterns and the interactions between impacts. In the example of the aramid fabric, the stress waves travel within the filaments. Because of their long and thin shape they force the stress waves though the longitudinal direction. The filaments are grouped to yarns. The yarns interchange to form a woven structure. At the contact points between filaments and yarns stress waves are partially reflected and transmitted.\n
Dispersion between impacts is an important factor when analysing interactions of multiple impacts. Simulations at three different impact distances were performed in order to define the magnitude of the influence of the dispersion in the ballistic performance of the fabric. The projectile formation was identical to the first case in the triple impacts with two of the projectiles impacting on one of the axes of elastic symmetry of the plate. Simulations with over 420 m/s projectiles initial velocity have shown a decrease of the residual velocity of the projectiles with increasing dispersion. Also, the influence of the orthotropic stress wave polarisation is more intense with the increase of the dispersion. The off-axis impacts have considerably lower “ballistic limit”, a phenomenon more apparent in higher ranges of dispersion. The stress wave streams become narrower with increasing radius. The residual projectile velocities as a relation to the dispersion between the impacts are presented in the (Figure 6, Figure 7) and on the (Table 3, Table 4).\n\n\n
|Initial\n||22.5 mm\n||39.8 mm\n||57.1 mm\n|
|Initial velocity\n||Time (μs)\n|
|22.5 mm\n||39.8 mm\n||57.1 mm\n|
The influence of time and space intervals on the interactions between multiple impacts is direct. As described, the increasing dispersion between impacts results in a gradual convergence with single impacts. The same applies with time. Very long durations between two impacts result in less interactions. The response of the material tends to be indifferent from single impacts. However, a distinction between simple single impacts from single subsequent impacts has to be made. An impact in many cases may cause permanent changes in the target material. Plastic deformation, crack formations and structure distortion are the examples of residual damage from an impact. If the same material is subjected to a subsequent impact (at a different impact point), this residual damage will influence the terminal ballistic response.\n
The extent of the influence of cumulative damage effects and dynamic interactions in the initiation of perforation in multiple impacts is examined in this section. Four cases of fabrics with pre-defined damage formations are investigated under single and dual ballistic impacts. The kinetic energy absorption of the fabric is analysed in all four cases and is compared with the single and triple impacts with no pre-defined damaged plates.\n\n
The damage patterns that were induced in the plate were taken by the eroded shell elements in the triple-impact simulations at 440 m/s. A small script in Matlab© was written in order to filter and document the eroded elements from the message files from the triple-impact simulations at 440 m/s so to be deleted in the key files. The calculations for the absorbed kinetic energy are based on the difference between the initial/residual velocities of the projectiles. The shapes of the damaged fabrics are presented in the Figures 8 and 9. The results are presented in the (Figure 10) and on the (Table 5).\n
Two simulations with one projectile impacting at two different points of a plate with pre-defined damage were performed. Results show a reduced ballistic performance compared to single-impact simulations on intact plate. More specifically, the energy absorption of the plate was reduced by 4.58–9.37% compared to single-impact simulations and by 37.32–40.46% compared to triple-impact simulations with no pre-defined damage. These results prove the hypothesis that the reduced ballistic performance of the plate is due to the dynamic interactions of multiple impacts. Cumulative damage on the plate during the multiple impacts plays less important role in the initiation or continuation of perforation.\n
In this simulation, the cumulative damage effects together with the dynamic interactions of two simultaneous impacts are examined. A pre-defined single perforated plate under dual ballistic impact was performed. The results show elevated energy absorption of the fabric 93.07% more than the single impact with intact plate and 26.83% more than the triple-impact simulations with intact plate. In this simulation, the fabric instead of perforating at the two impact points, the combined impulse from the two projectiles increases the surface tension resulting in shear tearing of the pre-defined hole. Dynamic interactions of the two simultaneous impacts seem to increase the energy absorption of the damaged fabric by invoking more extensive damage patterns.\n\n\n
|In higher velocities, multiple impacts converge with single impacts. The material responses locally due to inertia. Perforation sequence is fast, thus less interactions are exhibited between multiple impacts.\n||Increases\n||Decrease\n|
|Sharp impactors induce more localized material responses.\n||Increases\n||Decrease\n|
|Hard materials respond locally.\n||Depends on other material properties\n||Decrease\n|
|The impact energy is more distributed.\n||Decreases\n||Increase\n|
|More restricted material response.\n||Increases\n||Decrease\n|
|In off-axis impacts, the interactions decrease severely with increasing distance. On-axis impacts are less affected.\n||Decreases\n||Decrease\n|
|Flat non-axisymmetric impactors enhance the \n|
influence of projectile rotation. The stress concentration
points are shifted. Also, anisotropy and
heterogeneity exacerbate its influence.
|Increases\n||Depends on anisotropy/heterogeneity\n|
|Isotropic/homogeneous materials behave indifferently when the formation of the impacting projectiles rotates. Materials with higher degree of anisotropy/heterogeneity alter their response if the projectile formation rotates.\n||Depends on Anisotropy/Heterogeneity\n||Depends on Anisotropy/Heterogeneity\n|
|The time interval between impacts affects other parameters as well, such as the obliquity and the relative impacting velocity. Its effect on penetrability depends greatly on the oscillation phase of the material.\n||Depends on Phase and/or oscillation phase\n||Increase generally though some phases are more synergic\n|
|Defines the distribution of stress waves. The material response depends strongly on the formation of the impacting projectiles.\n||Depends on angle with respect of material axes f(θ)\n||Depend on angle with respect of material axes f(θ)\n|
|Defines the distribution of stress waves. The material response depends strongly on the formation of the impacting projectiles.\n||Depends on coordinates f(x,y,z)\n||Generally decreases Depends on coordinates f(x,y,z)\n|
In this simulation, one projectile impacts on a plate perforated on two points. The same Matlab script was used as with the single-hole simulations without filtering the higher number ID elements. The ballistic performance was in the same levels as with the simulations with a single hole and a single impact with 6.24% absorbed kinetic energy compared to single-impact simulations with no pre-defined damage and 38.41% compared to triple-impact simulations without pre-defined damage.\n
A triple launcher was developed for conducting multiple-impact tests on protective structures and materials. The system consists of a 12.7 mm barrel (0.50 in), three 5.56 mm barrels and a custom made diffuser that connects the 12.7 mm barrel to the three 5.56 mm barrels. The whole assembly is fitted on a laboratory universal receiver (Figure 11). The triple launcher is capable of shooting three 1.102 g NATO fragment-simulating projectiles (FSP) simultaneously within a range of velocities between 390 and 580 m/s depending on the amount of charge mass that is inserted. The three 5.56 mm barrels are arranged in an equilateral triangular formation.\n
The charging protocol for the triple launcher is the following:
The front piece of the triple launcher, which holds the three 5.56 mm barrels, is removed in order to have access to the chambers of the 5.56 mm barrels.
The three 1.102 g FSP are loaded in the three 5.56 mm barrels.
The front piece is reattached to the rest of the assembly.
The 12.7 mm barrel is then loaded with a cartridge containing the desired amount of combustion powder.
The weapon system is armed and ready to shoot.
After ignition, the combustion gases are directed from the 12.7 mm barrel to the diffuser. The diffuser redirects the gases through the 5.56 mm barrels accelerating the three 1.102 g FSP.\n
The triple-impact technique was evaluated experimentally against 15 layers of plain weave Kevlar® K29. The fabrics were fully clamped on a 100 x 100 mm clamping device and they were tested against single and triple impacts of 1.102 g FSP (Figure 12). The single-impact tests were conducted with the use of a standard single barrel of 5.7 mm and the triple-impact tests with the triple launcher. In total, 10 fabrics were tested against single shots and eight against triple shots. The velocities were measured using a Photron high-speed camera that was positioned laterally, filming perpendicular to the projectiles flight. A second high-speed camera was also used to monitor the status of the material during impact and to assist evaluating which of the shots was perforating (in the case of triple impacts).\n\n\n
The experimental results for the single-impact tests were processed using the Probit calculation method and the results were fitted with the normal cumulative distribution. For the triple-impact tests, the results were calculated as an average velocity value per triple shot. The results from the triple-impact tests were fitted with the Weibull cumulative distribution using the method of least squares. The ballistic limit of the aramid fabric in single-impact tests was 455 m/s while based on the triple-impact tests, the ballistic limit dropped to 426 m/s (Figure 13). The terminal ballistic results can be found on the (Table 6). Seven consequent instances of a triple impact test, with three FSP being ejected towards an aramid specimen can be found on the (Figure 14).\n
|Test\n||Velocity/average velocity (m/s)\n||P/NP\n||V50 (m/s)\n|
The probability density function that is produced reveals the true value of the triple-impact technique. The V50 is a statistical value that has not direct practical use. The velocity at which perforation is improbable, i.e. 5%, is more usefull for the end users and the manufacturers. Due to the unpredictable nature of the interactions between multiple impacts, the actual difference of the ballistic performance may be much greater.\n\n
Numerical simulations and experimental results have shown a significant decrease of the ballistic performance of the aramid fabric under triple impacts compared to single impacts. The constructive/destructive interference of the stress wave patterns of the three impacts increase the stress-strain energy density of the material closer to its strength.
Different configurations οf triple impacts, such as the orientations of the projectile formation, the rotation of the projectiles (in the case they are not axisymmetric) and their radial dispersion, and modify the material’s apparent ballistic performance.
With the increase of the initial velocity of the triple impacts, their residual velocity converges with the residual velocity of the single impacts.
The on-axis impacts due to generation of pure mode longitudinal stress waves interact more intensely and exhibit higher residual velocities.
With increasing distance between the projectiles, the triple impact interactions decrease; thus the penetrability tends to converge with the one in single impacts.
With increasing distance between the projectiles, the influence of paired on-axis impacts becomes more obvious. This happens because of the stress wave streams that become narrower in higher distances. Non-pure (quasi-longitudinal) waves become evanescent.
The ballistic performance in simultaneous multiple impacts cannot be assessed with subsequent impacts.
The existence of damage on the target material does not imply necessarily reduction of the ballistic performance.