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Influence of blast waves on the characteristics of injuries at different altitudes 不同高度爆炸冲击波对损伤特征的影响
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-12-02 DOI: 10.1007/s00193-025-01247-z
Z. Duan, G. Li, M. Deng, K. Chen, X. Cheng, C. Weng, D. Zhang, L. Guo, G. Yang, J. Zhang, J. Wang

Altitude can influence the propagation of shock waves and induce various pathophysiological changes due to different air pressure and oxygen levels, resulting in distinct characteristics of blast injury. This study was performed to investigate the characteristics of biological effects of blast waves at different altitudes and explore how altitude influences the characteristics of blast injuries. In total, 126 goats were exposed to blast waves at low, medium, and high altitudes while positioned at four different distances. Injury severity was quantified according to percentage of surface area contused. Blast overpressure data were collected using blast test devices placed at locations that represented the goats’ exposure. Blood gas data were collected using a portable blood gas analyzer before injury and 1, 3, 6, and 24 h after injury. Our results showed that the shock wave attenuated significantly as the distance increased ((p< 0.05)) but did not significantly change as the altitude increased. The mortality rate, lung coefficient, and blood gas indices were significantly higher among the goats at high altitude ((p< 0.05)). The injury severity gradually increased as the altitude increased ((p< 0.05)). The goats at high altitude developed more severe and prolonged injuries than at low altitude. The main mechanism involved the low air pressure, which reduced the injury threshold of air-containing organs, and the low oxygen partial pressure, which exacerbated the injury severity and duration. These results suggested that altitudes greater than 3000 m (the medical altitude) significantly influenced the blast injury severity and duration while low air pressure and low oxygen were the primary contributing factors.

海拔不同的气压和氧气水平会影响冲击波的传播,引起不同的病理生理变化,造成不同的爆炸伤特征。研究不同海拔高度爆炸冲击波的生物效应特征,探讨海拔对爆炸损伤特征的影响。总共有126只山羊被放置在四个不同的距离上,暴露在低、中、高海拔的冲击波中。根据挫伤面积百分比量化损伤严重程度。爆炸超压数据是通过放置在代表山羊暴露地点的爆炸试验装置收集的。分别于伤前、伤后1、3、6、24 h用便携式血气分析仪采集血气数据。我们的研究结果表明,冲击波随距离的增加而显著衰减((p< 0.05)),但随高度的增加而不显著变化。高海拔地区山羊的死亡率、肺系数和血气指数均显著高于高原地区((p< 0.05))。随着海拔的升高,损伤程度逐渐增加((p< 0.05))。高海拔地区的山羊比低海拔地区的山羊受伤更严重、时间更长。低气压降低了含气器官的损伤阈值,低氧分压加重了损伤的严重程度和持续时间。以上结果表明,海拔高度大于3000 m(医学海拔高度)对爆炸伤害的严重程度和持续时间有显著影响,低气压和低氧是主要影响因素。
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引用次数: 0
Modeling and simulation of thermophysical properties using a combined mixture model 利用组合混合模型对热物性进行建模和模拟
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-28 DOI: 10.1007/s00193-025-01240-6
R. P. Thacker, Z. Harris, B. Gatza, K. Miki, H. D. Perkins, B. Maxwell

An approach to combine two different equation-of-state models is described, which expands an ideal gas model to a range that captures both cryogenic and combustion conditions for any generalized mixture. This proposed model includes a real gas Helmholtz energy semi-empirical model combined with NASA thermophysical property polynomial fits that transitions to a pure ideal gas mixture model that uses only NASA polynomial fits. Capturing cryogenic and supercritical states are important for rotating detonation rocket engines that have high pressure and cryogenic inlet conditions into the combustion chamber where downstream combustion conditions can be reasonably modeled as an ideal gas. A parahydrogen and oxygen mixture is selected and presented where chosen shock tube simulations display improvements due to higher fidelity thermophysical property calculations. Operational conditions approximating the operation of NASA’s SWORDFISH engine represents one of the test cases for the shock tube study and showed that such improvements are important to consider when capturing the entire flow regime throughout its combustion chamber in a simulation. When implemented in a CFD program, this new model shows an excellent match to all selected cases of the shock tube study.

描述了一种结合两种不同状态方程模型的方法,该方法将理想气体模型扩展到一个范围,可以捕获任何广义混合物的低温和燃烧条件。该模型包括一个真实气体亥姆霍兹能量半经验模型,结合NASA热物性多项式拟合,过渡到一个仅使用NASA多项式拟合的纯理想气体混合模型。捕捉低温和超临界状态对于旋转爆震火箭发动机非常重要,因为旋转爆震火箭发动机进入燃烧室的入口条件是高压和低温的,因此下游的燃烧条件可以合理地模拟为理想气体。选择并提出了一种准氢和氧混合物,其中所选择的激波管模拟由于更高保真度的热物理性质计算而显示出改进。模拟NASA的SWORDFISH发动机的运行条件是激波管研究的一个测试案例,表明在模拟中捕捉整个燃烧室的整个流动状态时,这种改进是重要的考虑因素。当在CFD程序中实施时,该新模型显示出与所有选定的激波管研究案例的良好匹配。
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引用次数: 0
Shock reflection from an axial cylinder in axisymmetric supersonic steady flow 轴对称超声速定常流动中轴向圆柱的激波反射
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-27 DOI: 10.1007/s00193-025-01253-1
B. Shoesmith, E. Timofeev

The paper is devoted to a numerical study of a new variety of shock reflection hysteresis in axisymmetrical steady supersonic flow. A converging shock wave produced by a straight ring-wedge impinges on a cylinder placed along the axis of symmetry. The converging axisymmetrical shock gradually steepens as it approaches the surface of the cylinder. It is shown that it is possible to change the incident shock angle and Mach number and traverse the dual-solution domain by expanding and contracting the axial cylinder in a quasi-steady manner. The existence of shock reflection hysteresis induced in such a manner is demonstrated with an unstructured Euler finite-volume flow solver. The values of cylinder radius, and hence incident shock angle, at which regular-to-Mach and Mach-to-regular transitions of the hysteresis loop occur, are determined and compared with the theoretical detachment and von Neumann values.

本文对轴对称定常超声速流动中一种新的激波反射滞回现象进行了数值研究。由一个直楔环产生的会聚激波撞击沿对称轴放置的圆柱体。收敛轴对称激波在接近圆柱体表面时逐渐变陡。结果表明,通过准稳态扩张和收缩轴向气缸,可以改变入射激波角和马赫数,并可以穿越双解域。用非结构化欧拉有限体积流动求解器证明了这种方式引起的激波反射滞后的存在性。确定了迟滞回路发生从规则到马赫和从马赫到规则转变时的圆柱半径值以及入射激波角,并将其与理论脱离值和冯·诺伊曼值进行了比较。
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引用次数: 0
Markers of nonlinearity in the interaction of an acoustical shock with a ramp 声冲击与斜坡相互作用的非线性标志
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-16 DOI: 10.1007/s00193-025-01245-1
S. Deleu, R. Gojon, J. Gressier

The various nonlinear effects attributed to the propagation and the interaction of an acoustical shock with a ramp are investigated in this paper. The prevalent use of linear approximations in acoustic source localization techniques is a limitation to the accurate localization prediction required in military contexts. To address this issue, our approach seeks to identify different markers of nonlinearity within the acoustical shock wave framework, enlightening their reflective characteristics and the underlying physics. This study investigates the complex interaction between a high-amplitude acoustic pulse and a ramp, focusing on the reflection patterns of an acoustical shock. In particular, the single parameter used for the reflection pattern assessment is enhanced beyond its conventional formulation. The development of an irregular reflection detection algorithm is presented and serves as a fundamental component for a spectral analysis operating Fourier decomposition enabling a reflection-type classification solely based on time-signal measurements. This work contributes to the broader understanding of acoustic shock interactions and offers insights into improving the accuracy of source localization techniques, especially in situations where linear assumptions may prove to be limited.

本文研究了声激波与斜坡的传播和相互作用所引起的各种非线性效应。在声源定位技术中普遍使用的线性近似限制了军事环境中所需的准确定位预测。为了解决这个问题,我们的方法试图在声激波框架内识别非线性的不同标记,启发它们的反射特性和潜在的物理。本研究探讨了高振幅声脉冲和斜坡之间的复杂相互作用,重点研究了声冲击的反射模式。特别是,用于反射方向图评估的单一参数比其常规公式得到了增强。提出了一种不规则反射检测算法的发展,并作为光谱分析操作傅立叶分解的基本组成部分,使反射类型分类完全基于时间信号测量。这项工作有助于更广泛地理解声冲击相互作用,并为提高源定位技术的准确性提供见解,特别是在线性假设可能被证明是有限的情况下。
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引用次数: 0
Dynamics simulations of RDX-based explosive materials during impact: role of the microstructure rdx基炸药冲击过程动力学模拟:微观结构的作用
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-16 DOI: 10.1007/s00193-025-01243-3
E. Kaeshammer, S. Belon, L. Borne, F. Willot, P. Dokládal

The present work is a numerical investigation of the influence of different microstructural characteristics on the sensitivity to shock of energetic materials. We study three energetic materials that have the same composition in terms of weight fractions of their individual constituents (RDX and wax) but markedly different microstructures and shock sensitivity. Namely, the materials are made of grains with (i) smooth grain boundaries and intra-granular defects, (ii) sharp edges and few defects, and (iii) smooth grain boundaries and very few intra-granular defects. Making use of X-ray micro-computed tomography images of the materials, we first identify and quantify morphological differences in terms of grain size distribution, grain spatial distribution, grain shape, and contact points between grains. Second, we generate representative synthetic microstructures with realistic grain shapes and controlled morphological parameters based on the segmented images. We generate virtual granular materials in two and three dimensions, with and without pores, and with different grain shapes. Third, we carry out dynamic numerical simulations of shock wave propagation on various microstructure models. In all models, points of elevated temperature (hot spots) are observed along intra-granular defects and near contact points between grains. The histograms of the computed pressure field and temperature field (albeit to a lesser extent) show differences in the tails depending on the microstructure models representing the different materials. Numerical predictions are found to be in good agreement with experimental results: the VI-RDX-based material, which is the least sensitive to shock, has the fewest hot spots, while the RS-RDX-based and RVI-RDX-based materials have similar shock sensitivities and hot spot densities. The simulations emphasize a strong influence of intra-granular defects and contact points on the sensitivity to shock for these materials.

本文研究了含能材料不同的微观结构特征对其冲击敏感性的影响。我们研究了三种含能材料,它们在各自成分(RDX和蜡)的重量分数方面具有相同的成分,但微观结构和冲击敏感性明显不同。也就是说,材料是由具有(i)晶界光滑、晶内缺陷,(ii)边缘锋利、缺陷少,(iii)晶界光滑、晶内缺陷少的晶粒组成的。利用材料的x射线微计算机断层扫描图像,我们首先识别并量化了晶粒尺寸分布、晶粒空间分布、晶粒形状和晶粒间接触点的形态学差异。其次,基于分割图像生成具有真实颗粒形状和控制形态参数的具有代表性的合成微观结构;我们生成二维和三维的虚拟颗粒材料,有和没有孔隙,具有不同的颗粒形状。第三,对激波在不同微观结构模型上的传播进行了动态数值模拟。在所有模型中,沿颗粒内缺陷和颗粒间接触点附近观察到高温点(热点)。计算得到的压力场和温度场的直方图(尽管程度较小)显示了尾部的差异,这取决于代表不同材料的微观结构模型。数值预测结果与实验结果吻合较好:基于vi - rdx的材料对冲击最不敏感,热点最少,而基于rs - rdx的材料与基于rvi - rdx的材料具有相似的冲击灵敏度和热点密度。模拟强调了颗粒内缺陷和接触点对这些材料的冲击敏感性的强烈影响。
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引用次数: 0
Experimental investigation of the Chester problem with weak shock waves propagating in converging ducts with quasi-steady flow 准定常流弱激波在会聚管道中传播的Chester问题的实验研究
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-14 DOI: 10.1007/s00193-025-01244-2
N. Shigeta, J. Hagiwara, D. Custodio, N. Kimura, T. Asahi, K. Ozawa, T. Yamaguchi, G. Fukushima, Y. Nakamura, A. Sasoh

The Chester problem (Adv. Appl. Mech. 6:119–152, 1960) introduces a quasi-one-dimensional (quasi-1D) analytical solution developed by Chester based on Chester–Chisnell–Whitham (CCW) theory (Proc. R. Soc. Lond. A 232:350–370, 1955; Lond. Edinb. Philos. Mag. 45:1293–1301, 1954; J. Fluid Mech. 2:286–298, 1957; J. Fluid Mech. 4:337–360, 1958) addressing the interaction between a steady flow within a converging–diverging duct and a shock wave entering from the converging section. Although Chester’s solution provided approximate results for both weak and strong shock waves, this study derives a solution without limitations on the shock Mach number. Additionally, experiments were conducted using a three-channel shock tube, equipped with two diaphragms with adjustable relative rupture timings, to investigate the interaction between the flow and weak shock waves (shock Mach number 1.01–1.10) in the converging section, where the lower wall is flat. The shock wave reflects off the converging upper wall; however, at particularly low shock Mach numbers, the arrival of the reflected wave at the lower wall is delayed. In such cases, the shock wave near the lower wall, which remains unaffected by duct compression, diverges from the quasi-1D solution, and the pressure behind the shock wave is reduced by the upstream co-directional flow. These findings confirm that the shock wave can be attenuated by the non-turbulent, steady upstream flow.

《切斯特问题》机械学报,6:119-152,1960)介绍了Chester基于Chester - chisnell - whitham (CCW)理论提出的准一维解析解(Proc. R. Soc.)。Lond。A 232:350 - 370,1955;Lond。Edinb。费罗斯。Mag. 45:12 3 - 1301, 1954;[j] .流体力学学报,2006;[j] .流体力学,(4):337 - 360,1958),解决了在会聚-发散管道内的稳定流动和从会聚部分进入的激波之间的相互作用。虽然Chester的解对弱激波和强激波都提供了近似的结果,但本研究导出了一个不受激波马赫数限制的解。此外,利用装有两个可调相对破裂时间隔膜的三通道激波管进行了实验,研究了下壁平坦的会聚段中流动与弱激波(激波马赫数1.01-1.10)之间的相互作用。冲击波从会聚的上壁反射;然而,当激波马赫数特别低时,反射波到达下壁的时间被延迟。在这种情况下,靠近下壁的激波不受管道压缩的影响,从准一维解中发散出来,激波后的压力被上游的同向流动降低。这些发现证实了激波可以被非湍流、稳定的上游流动所衰减。
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引用次数: 0
Exposure of a spherical human skull substitute to free-field blast conditions 将球形人类头骨替代品暴露在自由场爆炸条件下
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-14 DOI: 10.1007/s00193-025-01248-y
N. Elster, J. Boutillier, P. Magnan, S. De Mezzo, P. Naz, R. Willinger, C. Deck

On the battlefield, soldiers may be injured by the detonation of explosive charges, particularly to the head. Several injury mechanisms have been proposed in the literature to explain the observed brain lesions, and numerous experiments, such as post-mortem studies, have been carried out to investigate those hypotheses. In the current study, a new skull substitute has been developed and its mechanical behaviour has been evaluated under free-field blast conditions. Instrumentation included accelerometers, strain gauges, and pressure sensors mounted in multiple positions. The substitute was embedded on a rigid mount and subjected to the detonation of 21 explosive charges. The proposed experimental campaign included seven free-field scenarios with incident pressures ranging from 75 to 200 kPa and two blast durations of 1.2 ms and 2.0 ms. The time analysis of signals revealed an “ipsi-contralateral” effect for internal pressures, i.e., an overpressure at the ipsilateral site concomitant to a depressure at the contralateral site. A slight underestimation of the first peaks versus incident pressures was also observed when compared with the literature on post-mortem human subjects. For shell strains, an overestimation of the maximum values and the first peak values versus incident pressures was attested compared to the bibliographic data. According to the current findings, the newly designed skull substitute produces results in line with post-mortem human subjects in terms of first peak strain and peak internal pressure trends. The described methodology could be applied to develop new head substitutes and, in the future, investigate injury mechanisms.

在战场上,士兵可能会因炸药的爆炸而受伤,尤其是头部。文献中提出了几种损伤机制来解释观察到的脑损伤,并进行了许多实验,如死后研究,以调查这些假设。在目前的研究中,开发了一种新的颅骨替代品,并对其在自由场爆炸条件下的力学行为进行了评估。仪器包括安装在多个位置的加速度计、应变计和压力传感器。替代物被嵌在一个坚硬的底座上,经受21个炸药的爆炸。拟议的实验活动包括7个自由场场景,入射压力范围为75至200 kPa,两次爆炸持续时间为1.2 ms和2.0 ms。信号的时间分析揭示了内压的“同侧-对侧”效应,即同侧部位的超压伴随对侧部位的降压。与死后人类受试者的文献相比,还观察到对第一个峰值与事件压力的轻微低估。对于壳应变,与文献数据相比,证明了最大值和第一峰值与入射压力的高估。根据目前的研究结果,新设计的颅骨替代物在首次峰值应变和峰值内压趋势方面产生的结果与死后人类受试者一致。所描述的方法可以应用于开发新的头部替代品,并在未来研究损伤机制。
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引用次数: 0
Blast loading of cylindrical columns using a small-scale explosive-driven shock tube 用小型炸药驱动激波管对圆柱柱进行爆炸加载
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-13 DOI: 10.1007/s00193-025-01252-2
B. R. Mohamed, M. Azer, A. Aldjabar, B. Bachir, T. Tine, L. David

Accurate estimation of blast loads on structures is essential for reliable structural response and damage prediction. This paper introduces a novel approach to this challenge, studying the interaction between a localized blast wave and a cylindrical column. The blast wave is generated using an explosive-driven shock tube (EDST) positioned in front of the mid-span of a cylindrical column. The background-oriented schlieren technique is used to visualize the diffraction pattern of the blast wave around the column, and piezoelectric pressure gauges measure the loading distribution on its circumference. The experimental data indicate a reduction in reflected pressure of 51% and 93% at angular positions of (40^circ ) and (90^circ ) with respect to the front face of the column. Compared to the reflected pressure on a flat rigid plate under identical loading conditions, a reduction of 12% is found. Two different approaches are adopted in LS-DYNA to simulate the blast wave generation and progression within the EDST and around the column. The numerical results show a good agreement with the measured data and allow the selection of the most efficient finite element approach regarding CPU time.

结构爆炸荷载的准确估计是可靠的结构响应和损伤预测的基础。本文介绍了一种新的方法来解决这一挑战,即研究局部爆炸波与圆柱形柱之间的相互作用。爆炸冲击波是通过放置在柱体中间跨度前的炸药驱动激波管(EDST)产生的。利用背景取向纹影技术可视化了冲击波在柱周围的衍射图,并利用压电式压力计测量了柱周上的载荷分布。实验数据表明,反射压力降低了51% and 93% at angular positions of (40^circ ) and (90^circ ) with respect to the front face of the column. Compared to the reflected pressure on a flat rigid plate under identical loading conditions, a reduction of 12% is found. Two different approaches are adopted in LS-DYNA to simulate the blast wave generation and progression within the EDST and around the column. The numerical results show a good agreement with the measured data and allow the selection of the most efficient finite element approach regarding CPU time.
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引用次数: 0
The effect of temperature on the geometry of driver inserts for better performance of a shock tube 温度对激波管驱动插片几何形状的影响
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-10-08 DOI: 10.1007/s00193-025-01249-x
K. V. Dhoke, T. Singh, K. P. J. Reddy, G. Jagadeesh, E. Arunan

In shock tubes, some non-ideal effects can result in a gradual rise in pressure behind the reflected shock wave. This variation in the reflected shock pressure (P(_text {5})) can significantly affect the accurate determination of kinetic parameters. Among the various techniques available to address the non-ideal pressure rise in the reflected shock wave region, the use of driver inserts has emerged as the most effective and reliable method for compensating the non-ideal increase in P(_text {5}). In this study, a step-size driver insert was implemented in a shock tube, and the resulting pressure measurements were analysed for two different initial temperatures T(_text {1}). The results reveal a notable difference in the geometry of the driver inserts required to achieve a uniform pressure profile behind the reflected shock wave for initial temperatures of 300 K and 353 K. While the direct design strategy of the driver insert did not yield optimal performance in one case, the final design of the driver insert was refined empirically based on the experimental pressure trace, guided by the principle of expansion fan reflection. Distinct insert shapes were ultimately developed for each temperature condition to maintain a stable pressure profile behind the reflected shock wave. Accurate chemical kinetic measurements require well-defined temperature and pressure conditions, and appropriately designed driver inserts play a crucial role in achieving these conditions. This manuscript presents the design methodology and experimental validation of driver inserts for improved performance under varying thermal conditions.

在激波管内,一些非理想的效应会导致反射激波后的压力逐渐上升。反射冲击压力(P (_text {5}))的这种变化会显著影响动力学参数的准确测定。在可用于解决反射冲击波区域非理想压力上升的各种技术中,使用驱动器插入已经成为补偿P (_text {5})非理想增加的最有效和可靠的方法。在这项研究中,在激波管内安装了一个步长驱动插入,并分析了两种不同初始温度T (_text {1})下的压力测量结果。结果显示,在初始温度为300 K和353 K时,为了在反射冲击波后获得均匀的压力分布,驱动器插入件的几何形状存在显著差异。虽然驱动插件的直接设计策略在某一情况下没有获得最佳性能,但在膨胀风扇反射原理的指导下,基于实验压力轨迹对驱动插件的最终设计进行了经验改进。为了在反射冲击波后保持稳定的压力分布,在不同的温度条件下,最终开发出了不同的插片形状。精确的化学动力学测量需要明确的温度和压力条件,而适当设计的驱动插件在实现这些条件方面起着至关重要的作用。这份手稿提出了设计方法和实验验证的驱动器插入,以改善性能在不同的热条件下。
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引用次数: 0
Shock wave propagation along a straight street 冲击波沿直街传播
IF 1.8 4区 工程技术 Q3 MECHANICS Pub Date : 2025-09-25 DOI: 10.1007/s00193-025-01250-4
Y. Marchal, I. Sochet, E. Lapébie, K. Atlassi, A. Faugaret, N. Billois

This study is motivated by concerns for the safety of goods and people, as well as the need to provide individuals with the means to prevent and protect against accidental risks and terrorist threats. The research is one of the tasks in the ANR research project (mathrm{URB(EX)}^{{3}}), which aims at developing a fast-running, breakthrough model for blast consequences in urban configurations. The objective is to characterize the propagation of a shock wave along a straight street using experimental and numerical approaches. The shock wave results from the detonation of a gaseous explosive charge. The experiments are carried out at laboratory scale by applying the laws of similarity. Shock waves are studied using pressure profiles recorded by regularly distributed pressure sensors. Visualization is also used to illustrate various shock wave interactions between the two walls. The explosive charge is placed on the central axis of a street between two parallel walls. The shock wave propagation is analysed in terms of street width and height. It is demonstrated that the shock wave changes its propagation mode from 3D to 2D. It is also shown that several planar shock waves are correlated with the junction of two Mach stems. This study reveals secondary shock waves, as well as multiple shock waves, which can lead to a certain complexity in interpreting the measured pressure signals. The 3D to 2D mode transition zone is determined for each configuration, and an empirical law is established based on the different experimental results obtained. The law considers three parameters, namely the diameter of the explosive charge and the dimensions of the street (height and width).

这项研究的动机是对货物和人员安全的关注,以及需要为个人提供预防和保护意外风险和恐怖主义威胁的手段。这项研究是ANR研究项目(mathrm{URB(EX)}^{{3}})的任务之一,该项目旨在为城市结构中的爆炸后果开发一个快速运行的突破性模型。目的是利用实验和数值方法来描述冲击波沿直线街道的传播特性。冲击波是由气体炸药爆炸产生的。这些实验是应用相似定律在实验室规模上进行的。冲击波的研究采用了由规则分布的压力传感器记录的压力曲线。可视化还用于说明两面墙之间的各种冲击波相互作用。炸药被放置在两堵平行墙之间街道的中轴线上。根据街道的宽度和高度对冲击波传播进行了分析。结果表明,激波的传播方式由三维转变为二维。研究还表明,几个平面激波与两个马赫干的连接处有关。该研究揭示了二次激波以及多重激波,这可能导致对测量压力信号的解释具有一定的复杂性。确定了每种构型的三维到二维模态过渡区,并根据不同的实验结果建立了经验规律。法律考虑了三个参数,即炸药的直径和街道的尺寸(高度和宽度)。
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引用次数: 0
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Shock Waves
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