Numerical investigation of dynamic behavior of metal Pb driven by oblique shock waves
-
摘要: 高强度冲击加载作用下金属材料的动态物理行为是当前冲击波领域基础研究和工程应用最为关注的焦点。采用光滑粒子法(SPH)开展不同位置起爆诱发的斜冲击波对碰加载金属铅的二维数值模拟研究，得到了金属铅内入射斜冲击波的角度和强度，并利用极曲线方法理论上导出发生马赫反射时的临界入射角和入射马赫数关系。根据计算结果可知，金属铅内入射斜波对碰后将发生马赫反射。随着起爆位置与金属铅表面距离的增加，不仅金属铅内入射冲击波强度和入射角增加，而且形成的马赫杆宽度也在增加。由自由面速度剖面给出了马赫杆宽度及张角，结果与理论预测的结果吻合较好。Abstract: Dynamic behaviors of metal materials subjected to intense shock loading is presently a focus in basic research and engineering application in the field of shock wave study. This work investigated dynamic behaviors within the metal Pb loaded by two oblique shock waves via Smooth Particle Hydro dynamic (SPH) method, with an emphasis on the influence of different initiation points on the dynamic behaviors in the collision zone. Utilizing the shock polar theory, we obtained the critical angle for an incident oblique shock wave varying with the Mach number, which indicated a transition from regular to Mach reflection. The comparison of the numerical data with the theoretical plot confirmed the interaction of two oblique shock waves, thus essentially revealing the Mach reflection and the formation of the Mach stem. As the distance of the initiation point from the Pb surface increases, so do both the incident pressure and the angle for an oblique shock wave, including also the generated Mach stem. Based on the free surface velocity profiles, we calculated the width of the Mach stem and the Mach angle, the results being in good agreement with the theoretical prediction.
-
Key words:
- Pb /
- collide /
- Mach reflection /
- oblique shock wave
-
图 4 入射斜冲击波在铅内的相互作用
Figure 4. Interaction of incident oblique shock wave within the metal Pb
图 5 理论计算的入射斜波临界角αC与马赫数Ma0关系与数值模拟对比
Figure 5. Comparison of theoretical relationship of incident angle αC varying with Mach number Ma0 and numerical simulations
图 6 金属铅内呈现的入射波、反射波和马赫波示意图
Figure 6. Schematic illustration of incident, reflected and Mach shock waves within the metal
图 7 金属铅内具有相同纵坐标值标定点压力历史剖面
Figure 7. Pressure histories for the gauge points with the same longitudinal coordinates
-
[1] HOLTKAMP D B, CLARK D A, FERM E N, et al. A survey of high explosive-induced damage and spall in selected metals using proton radiography[J]. AIP Conference Proceedings, 2004, 706:477. doi: 10.1063/1.1780281 [2] 王继海.二维非定常流和激波[M].北京:科学出版社, 1994. [3] 经福谦.实验物态方程导引[M].第2版.北京:科学出版社, 1999. [4] BEN-DOR G. Shock wave reflection phenomena[M]. Second Edition. Springer, 2007. [5] SINGH M, SUNEJA H R, BOLA M S, PRAKASH S. Dynamic tensile deformation and fracture of metal cylinders at high strain rates[J]. International Journal of Impact Engineering, 2002, 27(9):939-954. doi: 10.1016/S0734-743X(02)00002-7 [6] 张崇玉, 胡海波, 李庆忠, 等.爆轰波对碰驱动下平面铅飞层对碰区动载行为实验研究[J].高压物理学报, 2009, 23(4):283-287. doi: 10.11858/gywlxb.2009.04.008ZHANG Chongyu, HU Haibo, LI Qingzhong, et al. Experimental study on dynamic behavior of lead plate driven by two head-on colliding detonation waves[J]. Chinese Journal of High Pressure Physics, 2009, 23(4):283-287. doi: 10.11858/gywlxb.2009.04.008 [7] 陈永涛, 洪仁楷, 王晓燕, 等.爆轰波对碰加载下平面金属样品动载行为实验研究[J].爆炸与冲击, 2016, 36(2):177-182. doi: 10.11883/1001-1455(2016)02-0177-06CHEN Yongtao, HONG Renkai, WANG Xiaoyan, et al. Experimental study on dynamic behaviors of metal sample driven by two head-on colliding detonation wave[J]. Explosion and Shock Waves, 2016, 36(2):177-182. doi: 10.11883/1001-1455(2016)02-0177-06 [8] 陈永涛, 洪仁楷, 吴建华, 等.爆轰波对碰加载下平面Sn材料动力学行为实验研究[J].高压物理学报, 2016, 30(3):221-226. doi: 10.11858/gywlxb.2016.03.007CHEN Yongtao, HONG Renkai, WU Jianhua, et al. Experimental study on dynamic behaviors of sn sample driven by two head-on colliding detonation waves[J]. Chinese Journal of High Pressure Physics, 2016, 30(3):221-226. doi: 10.11858/gywlxb.2016.03.007 [9] 张世文, 华劲松, 刘仓理, 等.金属圆管内爆轰波相互作用效应的数值模拟研究[J].爆炸与冲击, 2004, 24(3):219-225. http://www.bzycj.cn/CN/abstract/abstract9946.shtmlZHANG Shiwen, HUA Jingsong, LIU Cangli, et al. A numerical simulation of the metallic tube expansion induced by inside head-on hitting two detonation waves[J]. Explosion and Shock Waves, 2004, 24(3):219-225. http://www.bzycj.cn/CN/abstract/abstract9946.shtml [10] 袁帅, 胡海波, 张崇玉, 等.应用SPH方法对平板铅飞层对碰凸起动载行为的数值模拟研究[J].高压物理学报, 2010, 24(5):383-387. doi: 10.11858/gywlxb.2010.05.011YUAN Shuai, HU Haibo, ZHANG Chongyu, et al. Simulation on head-on bulging dynamic behavior of lead flyer with SPH method[J]. Chinese Journal of High Pressure Physics, 2010, 24(5):383-387. doi: 10.11858/gywlxb.2010.05.011 [11] 袁帅, 胡海波, 张崇玉, 等.爆轰波对碰驱动平面组合飞片的数值模拟[J].高压物理学报, 2016, 30(1):49-54. doi: 10.11858/gywlxb.2016.01.008YUAN Shuai, HU Haibo, ZHANG Chongyu, et al. A numerical simulation of the assembled flyers driven by two head-on colliding detonation waves[J]. Chinese Journal of High Pressure Physics, 2016, 30(1):49-54. doi: 10.11858/gywlxb.2016.01.008 [12] 陈大伟, 王裴, 孙海权, 等.爆轰波对碰驱平面锡飞层的动力学及动载行为特性研究[J].物理学报, 2016, 65(2):024701. http://www.cqvip.com/QK/94684X/201602/667819972.htmlCHEN Dawei, WANG Pei, SUN Haiquan, et al. Loading characteristics and dynamic behaviors of the plane tin flying layer driven by detonation collision[J]. Acta Physica Snica, 2016, 65(2):024701. http://www.cqvip.com/QK/94684X/201602/667819972.html -
下载:
图(10)
计量
- 文章访问数: 5376
- HTML全文浏览量: 1906
- PDF下载量: 199
- 被引次数: 0