A New Statistical Meso-Scopic Damage Model and Its Applications in Spalling Processes
-
摘要: 采用统计细观损伤力学方法,基于延性金属断裂过程的孔洞演化机理,提出一个新的损伤演化方程,该方程在一定的条件下与由空心球体胞模型导出的损伤方程形式相同。在此基础上,将新的损伤演化方程编入一维Lagrange有限差分动力学程序,对OFHC铜的平板对称正碰撞层裂实验进行了数值模拟,计算结果与实验吻合得较好。Abstract: A new damage evolution equation for ductile materials is presented based on the statistical meso-scopic damage mechanism, which consistent well with the results of analysing the mechanical responses for the spherical cell containing a single central spherical void. The model presented is incorporated in a hydrodynamic one-dimensional finite-difference computer code, to simulate the process of spallation of OFHC copper. The calculation is in good agreement with the experimental data.
-
Kanel G I, Razorenov S V, Utkin A V. Spallation in Solids under Shock-Wave Loading: Analysis of Dynamic Flow, Methodology of Measurements, and Constitutive Factors [A]. Davison L, Grady D E, Shahinpoor M. High Pressure Shock Compression of Solid Ⅱ [C]. New York: Springer-Verlag, 1996. 1-23. Curran C R, Seaman L, Shockey D A. Dynamic Failure of Solids [J]. Physics Reports, 1987, 147(5-6): 253-388. Antoun T, Seaman L, Curran D R, et al. Spall Fracture [M]. New York: Springer-Verlag, 2003. Meyers M A, Aimone C T. Dynamic Fracture (Spalling) of Metals [J]. Prog Mater Sci, 1983, 28: 1-96. Johnson J N. Dynamic Fracture and Spallation in Ductile Solids [J]. J Appl Phys, 1981, 52: 2812-2825. Tonks D L, Vorthman J E, Hixson R S, et al. Spallation Studies on Shock Loaded U-6 WT PCT NB [A]. Furnish M D, Chhabildas L C, Hixson R S. AIP Conference Proceedings [C]. New York: American Institute of Physics, 2000. 329-332. Xia M F, Han W S, Ke F J, et al. Statistical Meso-Scopic Damage Mechanics and Damage Evolution Induced Catastrophe [J]. Chinese Journal of Advances in Mechanics, 1995, 25(1): 1-40. (in Chinese) 夏蒙棼, 韩闻生, 柯孚久, 等. 统计细观损伤力学和损伤演化诱致突变 (Ⅰ) [J]. 力学进展, 1995, 25(1): 1-40. Feng J B, Jing F Q, Zhang G R. Dynamic Ductile Fragmentation and the Damage Function Model [J]. J Appl Phys, 1997, 81(6): 2575-2578. Carroll M M, Holt A C. Static and Dynamic Pore-Collapse Relations for Ductile Porous Material [J]. J Appl Phys, 1972, 43: 1626-1636. Huang Z P, Yang L M, Pan K L. Dynamic Damage and Failure of Materials [J]. Chinese Journal of Advances in Mechanics, 1993, 23(4): 433-467. (in Chinese) 黄筑平, 杨黎明, 潘客麟. 材料的动态损伤和失效 [J]. 力学进展, 1993, 23(4): 433-467. Rajendran A M, Dietenberger M A, Grove D J. A Void Growth-Based Failure Model to Describe Spallation [J]. J Appl Phys, 1989, 65(4): 1521-1527. Zhang L, Zhang Z G, Qin X Y, et al. Dynamic Fracture and Mechanical Property of D6A, 921 and 45 Steels under Low Shock Pressure [J]. Chinese Journal of High Pressure Physics, 2003, 17(4): 305-310. (in Chinese) 张林, 张祖根, 秦晓云, 等. D6A、921和45钢的动态破坏与低压冲击特性 [J]. 高压物理学报, 2003, 17(4): 305-310. Mackenzie J K. The Elastic Constants of a Solid Containing Spherical Holes [J]. Proceedings of the Physical Society of London(Section B), 1950, 63: 2-11. Zhou H Q, Sun J S, Wang Y S. The Growth of Microvoids in Ductile Materials under Dynamic Loading [J]. Explosion and Shock Waves, 2003, 23(5): 415-419. (in Chinese) 周洪强, 孙锦山, 王元书. 动载荷下延性材料中微孔洞的增长模型 [J]. 爆炸与冲击, 2003, 23(5): 415-419.
点击查看大图
计量
- 文章访问数: 7776
- HTML全文浏览量: 451
- PDF下载量: 861