基于格点-弹簧模型模拟含缺陷陶瓷材料的压缩破坏过程
PDF下载 (19276)吕文银 1,张青艳 2,周风华 1*.基于格点-弹簧模型模拟含缺陷陶瓷材料的压缩破坏过程[J].宁波大学学报(理工版),2017,30(5):76-82.DOI:
L? Wen-yin 1,ZHANG Qing-yan 2,ZHOU Feng-hua 1*.Lattice-spring model simulations on compressive failure process of ceramics with internal defects[J].Journal of Ningbo University(Natural Science & Engineering Edition),2017,30(5):76-82.DOI:
| Title: | Lattice-spring model simulations on compressive failure process of ceramics with internal defects |
| 作者: | 吕文银 1, 张青艳 2, 周风华 1* |
| Author(s): | L? Wen-yin 1, ZHANG Qing-yan 2, ZHOU Feng-hua 1* |
| 关键词: | 陶瓷; 多孔性; 压缩破坏; 格点-弹簧模型; 应变率 |
| Keywords: | ceramics; porosity; compressive failure; lattice-spring model; strain rate effect |
| 分类号: | O347.3 |
| 文献标识码: | A |
| 摘要: | 采用基于有限元参数映射的格点-弹簧模型(lattice spring model)对多晶三氧化二铝(Al2O3)陶瓷的压缩破坏过程进行了数值模拟. 采用弹脆性模型模拟材料, 用弱界面模拟材料晶界, 基于Griffith能量准则判断断裂. 模拟了特定孔隙率下的Al2O3陶瓷的冲击破坏过程, 所得到压缩强度与实验测试结果基本吻合. 考察了孔隙对材料压缩力学性能的影响, 结果显示: 有孔隙陶瓷表现出一定的应变率敏感性并且其裂纹密度时程曲线具有明显的“台阶”, 而无孔隙陶瓷没有此现象; 含孔隙陶瓷的裂纹密度发展过程中的“台阶”对应了内部裂纹的发展和止裂机制, 是有孔隙陶瓷和无孔隙陶瓷的重要区别. |
| Abstract: | A lattice spring model based on Gusev’s finite element parameter mapping is used to simulate the failure of polycrystalline alumina (Al2O3) under compressive loading. An elastic-brittle model is utilized and the fracture criterion is set based on the Griffith’s energy principle. Grain boundaries are considered, which will affect crack propagation. Simulations of alumina with certain porosity under impact loading are carried out, showing that the peak compressive stresses, which represent the compressive strengths of the material, are in good agreement with the experimental results. Also investigated is the strain rate sensitivities of porous and non-porous specimens, finding that the porous specimen exhibits strain rate sensitivity while non-porous specimen does not. In addition, the former’s crack density history curve shows distinctive “steps”. Further analysis shows that there are two crack preventing mechanisms corresponding to these steps, which causes the apparent strain rate effect in porous ceramics. |
| 参考文献 /References: | [1] GREEN D J, 陶瓷材料力学性能导论[M]. 北京: 清华大学出版社, 2003:1-2. [2] VIECHNICKI D J, SlAVIN M J, KLIMAN M I. Development and current status of armor ceramics[J]. American Ceramic Society Bulletin, 1991, 70:1035-1039. [3] 肖桂凤, 唐志平, 周昌国, 等. 氮化硅陶瓷层裂强度的研究[J]. 高压物理学报, 2005, 19(3):219-224. [4] DI?AZ-RUBIO F G, P?REZ J R, G?LVEZ V S. The spalling of long bars as a reliable method of measuring the dynamic tensile strength of ceramics[J]. International Journal of Impact Engineering, 2002, 27(2):161-177. [5] ZHOU F, WANG Y. Failure and fragmentation of alumina cylinders under compressive loading[C]// DYMAT 2009- 9th International Conference on the Mechanical and Physical Behaviour of Materials Under Dynamic Loading, Brussels, Belgium, 2009:1311-1316. [6] 张青艳, 靳晓庆, 周风华. Al2O3陶瓷柱在准静态压缩下的破坏和动态碎裂过程[C]// 西安: 第十一届全国冲击动力学学术会议, 2013. [7] KRAFT R H, MOLINARI J F. A statistical investigation of the effects of grain boundary properties on transgranular fracture[J]. Acta Materialia, 2008, 56(17):4739-4749. [8] ZHOU F, MOLINARI J F. Stochastic fracture of ceramics under dynamic tensile loading[J]. International Journal of Solids and Structures, 2004, 41(22/23):6573-6596. [9] KRAFT R H, MOLINARI J F, RAMESH K T, et al. Computational micromechanics of dynamic compressive loading of a brittle polycrystalline material using a distribution of grain boundary properties[J]. Journal of the Mechanics and Physics of Solids, 2008, 56(8):2618- 2641. [10] KARWOWSKI J, SZEWC K. Separable N-particle Hookean models[EB/OL]. [2017-01-15]. http://iopscience. iop.org/article/10.1088/1742-6596/213/1/012016. [11] OSTOJA-STARZEWC M. Lattice models in micro- mechanics[J]. Applied Mechanics Reviews, 2002, 55(1): 35-60. [12] YAN H, LI G, SANDER L M. Fracture growth in 2d elastic networks with Born model[J]. Europhysics Letters, 1989, 10(1):7-13. [13] GRAH M, ALZEBDEH K, SHENG P Y, et al. Brittle intergranular failure in 2D microstructures: Experiments and computer simulations[J]. Acta Materialia, 1996, 44(10):4003-4018. [14] GUSEV A A. Finite element mapping for spring network representations of the mechanics of solids[EB/OL]. [2016-09-10]. https://journals.aps.org/prl/abstract/10.110 3/PhysRevLett.93.034302. [15] YU Y, WANG W, HE H, et al. Modeling multiscale evolution of numerous voids in shocked brittle material[EB/OL]. [2016-10-21]. https://journals.aps.org/ pre/pdf/10.1103/PhysRevE.89.043309. [16] YU Y, WANG W, HE H, et al. Mesoscopic deformation features of shocked porous ceramic: Polycrystalline modeling and experimental observations[EB/OL]. [2016- 11-06]. http://aip.scitation.org/doi/10.1063/1.4916244. [17] LAWN B. 脆性固体断裂力学[M]. 第二版. 北京: 高等教育出版社, 2010:150-161. |
| 备注/Memo: | 收稿日期: 2017－04－21. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11272163, 11390361）; 浙江省重点科技创新团队（2013TD21）. 第一作者: 吕文银（1989－）, 男, 湖北襄阳人, 在读硕士研究生, 主要研究方向: 冲击动力学. E-mail: lvwenyin1012@163.com ?*通信作者: 周风华（1964－）, 男, 浙江宁波人, 教授, 主要研究方向: 冲击动力学. E-mail: zhoufenghua@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
