Influence of void coalescence on spall evolution of ductile polycrystalline metal under dynamic loading
-
摘要: 针对强动载作用下延性金属的层裂问题，在分析孔洞之间几何关联的基础上，定义了一个新的耦合损伤及孔洞几何信息的孔洞汇合判定方法，同时，基于能量守恒原理，解析了孔洞汇合对损伤快速增长影响的物理机理.通过分析数值计算结果和对比相关文献的实验可知：孔洞汇合后不仅引起损伤增长，而且导致了损伤材料内部微孔洞数目的减少、孔洞平均尺寸的增加。Abstract: In the present study, with a view to solve the spallation of ductile metal under intense dynamic loading, we develop a new void coalescence criterion accounting for the damage and void geometry based on the geometric relationship between voids. Following the principle of energy conservation, we reveal the physical mechanism explaining the influence of void coalescence on the growth of damage. The comparison between calculated results and experiment data indicates that void coalescence leads to rapid growth of damage, reduction of void numbers, and increase of average void size.
-
Key words:
- solid mechanics /
- spallation /
- intense dynamic loading /
- ductile metal /
- void coalescence /
- damage evolution
-
图 3 孔洞相对大小与孔洞汇合临界损伤度关系
Figure 3. Critical damage for void coalescence vs. relative difference in size between two voids
图 4 孔洞间距离与孔洞汇合临界损伤度关系
Figure 4. Critical damage for void coalescence vs. distance between two voids
图 7 晶粒尺寸、孔洞汇合对自由面速度曲线的影响
Figure 7. Influences of void coalescence and grain size on free surface velocities
图 8 孔洞汇合临界损伤度对自由面速度曲线的影响
Figure 8. Influences of critical damage for void coalescence on free surface velocities
表 1 损伤材料内部孔洞数及孔洞大小的统计结果
Table 1. Damage statistics
dg /μm N dv 实验 计算 实验 计算 30 236 11.460 38.1 12.17 0.044(考虑汇合) 37.12(考虑汇合) 60 363 3.236 22.7 22.36 100 267 1.421 33.0 34.51 200 111 0.566 55.1 42.60 
下载: 导出CSV
-
[1] Thomason P F. A view on ductile-fracture modelling[J]. Fatigue & Fracture of Engineering Materials & Structures, 1998, 21(9):1105-1122. https://www.researchgate.net/publication/229518515_A_View_on_ductile-fracture_modelling [2] Escobedo J P, Dennis-Koller D, Cerreta E K, et al. Effects of grain size and boundary structure on the dynamic tensile response of copper[J]. Journal of Applied Physics, 2011, 110(3):033513. doi: 10.1063/1.3607294 [3] Tvergaard V, Needleman A. Analysis of the cup-cone fracture in a round tensile bar[J]. Acta Metallurgica, 1984, 32(1):157-169. doi: 10.1016/0001-6160(84)90213-X [4] Benzerga A A. Micromechanics of coalescence in ductile fracture[J]. Journal of the Mechanics and Physics of Solids, 2002, 50(6):1331-1362. doi: 10.1016/S0022-5096(01)00125-9 [5] Gao X, Kim J. Modelling of ductile fracture: Significance of void coalescence[J]. International Journal of Solids and Structures, 2006, 43(20):6277-6293. doi: 10.1016/j.ijsolstr.2005.08.008 [6] 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. http://d.old.wanfangdata.com.cn/Periodical/gthjjs201304023Huang Zhuping, Yang Liming, Pan Keling. Dynamic damage and failure of materials[J]. Adavances in Mechanics, 1993, 3(4):433-467. http://d.old.wanfangdata.com.cn/Periodical/gthjjs201304023 [7] Pardoen T, Hutchinson J W. An extended model for void growth and coalescence[J]. Journal of the Mechanics and Physics of Solids, 2000, 48(12):2467-2512. doi: 10.1016/S0022-5096(00)00019-3 [8] Horstemeyer M F, Matalanis M M, Sieber A M, et al. Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence[J]. International Journal of Plasticity, 2000, 16(7):979-1015. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=9b37e93469f2922e87ae03d47e0ed954 [9] Seppala E T, Belak J, Rudd R E. Three-dimensional molecular dynamic simulation of void coalescence during dynamic fracture of ductile metals[J]. Physics Review: B, 2005, 71(6):064112. doi: 10.1103/PhysRevB.71.064112 [10] Thomason P F. Ductile spallation fracture and the mechanics of void growth and coalescence under shock loading conditions[J]. Acta Materials, 1999, 47(13):3633-3646. doi: 10.1016/S1359-6454(99)00223-2 [11] Tonks D L, Zurek A K, Thissell W R. Coalescence rate model for ductile damage in metals[J]. Journal de Physique Ⅳ France, 2003, 110:893-898. doi: 10.1051/jp4:20020807 [12] Pardoen T, Scheyvaerts F, Tekoglu C, et al. Recent progress in micromechanics-based modeling of void coalescence[C]//The SEM Annual Conference. New Mexico, Albuquerque, USA, 2009. [13] Feng J P, Jing F Q, Zhang G R. Dynamic ductile fragmentation and the damage function model[J]. Journal of Applied Physics, 1997, 81(6):2575-2578. doi: 10.1063/1.363921 [14] Jacques N, Mercier S, Molinari A. Void coalescence in a porous solid under dynamic loading conditions[J]. International Journal of Fravture, 2012, 173(2):203-213. doi: 10.1007/s10704-012-9683-5 [15] Hosokawa A, Wilkinson D S, Kang J D, et al. Void growth and coalescence in model materials investigated by high-resolution X-ray microtomography[J]. International Journal of Fracture, 2013, 181(1):51-66. doi: 10.1007/s10704-013-9820-9 [16] Hosokawa A, Wilkinson D S, Kang J D, et al. Onset of void coalescence in uniaxial tension studied by continuous X-ray tomography[J]. Acta Materialia, 2013, 61(4):1021-1036. doi: 10.1016/j.actamat.2012.08.002 [17] Llorca F, Roy G. Metallurgical investigation of dynamic damage in tantalum[C]//13th APS Topical Conference on Shock Compression of Condensed Matter. Portland, Oregon, 2003: 589-592. [18] Lii G T G, Bourne N K, Vecchio K S, et al. Influence of anisotropy (crystallographic and microstructural) on spallation in Zr, Ta, HY-100 steel, and 1080 eutectoid steel[J]. International Journal of Fracture, 2010, 163(1):243-258. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=ad2df2e3a2e2ca5bf75978c7513272d1 [19] Venkert A, Guduru P R, Ravichandran G. Effect of loading rate on fracture morphology in a high strength ductile steel[J]. Journal of Engineering Materials and Technology, 2001, 123(3):261-267. doi: 10.1115/1.1371231 [20] Brown L M, Embury J D. The initiation and growth of void at second phase particles[C]//3rd International Conference on the Strength of Metals and Alloys. London, England, 1973: 164-169. [21] Johnson J N. Dynamic fracture and spallation in ductile solids[J]. Journal of Applied Physics, 1981, 52(4):2812-2825. doi: 10.1063/1.329011 [22] Zhang F G, Zhou H Q, Hu J, et al. Modelling of spall damage in ductile materials and its application to the simulation of the plate impact on copper[J]. Chinese Physics: B, 2012, 21(9):094601. doi: 10.1088/1674-1056/21/9/094601 [23] Jacques N, Mercier S, Molinari A. Effects of microscale inertiaon dynamic ductile crack growth[J]. Journal of the Mechanics and Physics of Solids, 2012, 60(4):665-690. doi: 10.1016/j.jmps.2011.12.010 [24] 张凤国, 周洪强.晶粒尺度对延性金属材料层裂损伤的影响[J].物理学报, 2013, 62(16):164601. doi: 10.7498/aps.62.164601Zhang Fengguo, Zhou Hongqiang. Effects of grain size on the dynamic tensile damage of ductile polycrystalline metall[J]. Acta Physica Sinica, 2013, 62(16):164601. doi: 10.7498/aps.62.164601 [25] Trivedi P B, Asay J R, Gupta Y M, et al. Influence of grain size on the tensile response of aluminum under plate-impact loading[J]. Journal of Applied Physics, 2007, 102(8):083513. doi: 10.1063/1.2798497 -
图(8) / 表(1)
计量
- 文章访问数: 5871
- HTML全文浏览量: 2441
- PDF下载量: 697
- 被引次数: 0