Simulation of hypervelocity impact by the material point method coupled with a new equation of state
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摘要: 为更准确地对超高速碰撞进行数值模拟、获得与实验结果相似度更高的碎片云形态，利用分子动力学方法求解材料的冷能、冷压，并结合Grover定标律方程，建立了一种表达形式简洁、可处理相变影响的新型物态方程，并代入自编柱坐标物质点法计算程序，使用新型物态方程计算所得的碎片云与使用Mie-Grüneisen、Tillotson等传统物态方程的计算结果相比，在尺寸、形态方面均能够与实验结果更好地吻合，证明了新型物态方程的有效性。Abstract: In the numerical simulation of hypervelocity impact problems, the equation of state (EOS) is used to calculate the pressure of the material. In order to simulate the hypervelocity impact problems more accurately, a new EOS which has a clear expression and the ability to deal with the phase transformation, is established based on the Grover scaling-law EOS and the molecular dynamics (MD) method. The MD method was used to calculate the cold energy and the cold pressure of the material. In this paper, all numerical results are achieved through a cylindrical-coordinate material point method (MPM) calculating program. By comparing the numerical results with the experimental result, the shape and size of the debris cloud calculated with the new EOS are both more similar to the experimental result than the ones calculated with the traditional equations of state. The effectiveness of the new EOS is proven. The new EOS is valuable in the numerical research on hypervelocity impact problems.
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[1] LIU Menglong, WANG Qiang, ZHANG Qingming, et al. Characterizing hypervelocity(>2.5 km/s)-impact-engendered damage in shielding structures using in-situ acoustic emission: simulation and experiment [J]. International Journal of Impact Engineering, 2018, 111: 273–284. DOI: 10.1016/j.ijimpeng.2017.10.004. [2] 张雄, 廉艳平, 刘岩, 等. 物质点法[M]. 北京: 清华大学出版社, 2013: 7; 186. [3] ZHANG X, CHEN Z, LIU Y. The material point method [M]. Amsterdam: Elsevier Academic Press, 2017: 7. [4] ZUKAS A J. Introduction to hydrocodes [M]. Amsterdam: Elsevier Academic Press, 2004: 94−95. [5] 汤文辉, 张若棋. 物态方程理论及计算概论 [M]. 2版. 北京: 高等教育出版社, 2008: 282. [6] 贾光辉. 航天器结构超高速碰撞数值仿真[M]. 北京: 北京航空航天大学出版社, 2017: 18. [7] HIERMAIER S J. Structures under crash and impact [M]. Berlin: Springer Press, 2008:72. [8] SULSKY D, SCHREYER H L. Axisymmetric form of the material point method with application to upsetting and Taylor impact problems [J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1/2/3/4): 409–429. DOI: 10.1016/s0045-7825(96)01091-2. [9] MA X, ZHANG D Z, GIGUERE P T, et al. Axisymmetric computation of Taylor cylinder impacts of ductile and brittle materials using original and dual domain material point methods [J]. International Journal of Impact Engineering, 2013, 54: 96–104. DOI: 10.1016/j.ijimpeng.2012.11.001. [10] 黄鹏, 张雄. 显式物质点法的计算格式比较 [C] // 第五届全国爆炸力学实验技术学术会议. 西安, 2008: 220−229. [11] SATO A. Introduction to practice of molecular simulation [M]. Amsterdam: Elsevier Press, 2011: 1. [12] CAI J, YE Y Y. Simple analytical embedded-atom-potential model including a long-range force for fcc metals and their alloys [J]. Physical Review, 1996, 54(12): 8398–8410. DOI: 10.1103/PhysRevB.54.8398. [13] RAPAPORT D C. The art of molecular dynamics simulation [M]. 2nd ed. Cambridge: Cambridge University Press, 2004. [14] ROYCE E B. GRAY: a three-phase equation of state for metals: UCRL-51121 [R]. USA: Lawrence Livermore Lab, 1971. [15] PIEKUTOWSKI A J. Formation and description of debris clouds produced by hypervelocity impact: NASA contractor report 4707 [R]. USA: NASA, 1996. -
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