蓝宝石单晶的动态力学性能及本构关系研究

doi:10.16552/j.cnki.issn1001-1625.2025.0170

硅酸盐通报 ›› 2025, Vol. 44 ›› Issue (9): 3391-3401.DOI: 10.16552/j.cnki.issn1001-1625.2025.0170

蓝宝石单晶的动态力学性能及本构关系研究

黄友奇¹, 史刘彤², 高玉波², 周林²

1.中国建筑材料科学研究总院有限公司,北京 100024;
2.中北大学航空宇航学院,太原 030051

收稿日期:2025-02-28 修订日期:2025-05-06 出版日期:2025-09-15 发布日期:2025-09-19
通信作者: 高玉波,博士,副教授。E-mail:gaoyb@nuc.edu.cn.
作者简介:黄友奇(1983—),男,高级工程师。主要从事视窗屏蔽/隐身/防弹/电加热等功能玻璃的研究。E-mail:nanostar2008@163.com
基金资助:
国家自然科学基金(12172337);山西省基础研究计划(20210302123022)

Dynamic Mechanical Property and Constitutive Modeling of Sapphire Single Crystals

HUANG Youqi¹, SHI Liutong², GAO Yubo², ZHOU Lin²

1. China Building Materials Academy Co., Ltd., Beijing 100024, China;
2. School of Aerospace Engineering, North University of China, Taiyuan 030051, China

Received:2025-02-28 Revised:2025-05-06 Published:2025-09-15 Online:2025-09-19

摘要/Abstract

摘要： 蓝宝石单晶因具有优异的力学性能和光学透明性,在武器装备防护视窗中具有广泛应用前景。为系统研究其动态力学行为,本文开展了多种测试与数值仿真。通过准静态和动态压缩试验,获取材料的应力-应变关系,分析强度对应变率的敏感性;采用巴西圆盘劈裂试验测得抗拉强度;借助三轴围压试验方法,研究了颗粒状蓝宝石单晶在高静水压力下的力学响应。基于上述试验数据,构建了包含状态方程、强度准则和损伤演化的材料本构模型。进一步开展了弹丸高速撞击试验,并基于FEM-SPH耦合方法建立数值模型,对侵彻过程与裂纹扩展机理进行了模拟。结果表明,该本构模型可有效预测蓝宝石单晶在多种应力状态下的力学响应,对防护结构设计具有重要意义。

关键词: 蓝宝石单晶, 力学性能, 本构关系, 侵彻, 数值仿真, 损伤

Abstract: Sapphire single crystals are widely used in protective windows for military equipment due to their excellent mechanical strength and optical transparency. To systematically investigate their dynamic mechanical behavior, a series of experiments and numerical simulations were conducted in this study. Quasi-static and dynamic compression tests were carried out to obtain the stress-strain response and to analyze strength to strain rate sensitivity. The Brazilian disk splitting test was performed to measure the tensile strength, and a triaxial confining pressure test was conducted to study the mechanical response of granular sapphire single crystals under high hydrostatic pressure. Based on the above experimental data, a material constitutive model was conducted, incorporating an equation of state, a strength criterion, and a damage evolution law. Ballistic high speed impact tests were further conducted, and a FEM-SPH coupling method numerical model was established to simulate the penetration process and crack propagation mechanisms. The results show that the constitutive model accurately captures the mechanical response of sapphire single crystals under various stress conditions, providing important guidance for the design of protective structures.

Key words: sapphire single crystal, mechanical property, constitutive modeling, penetration, numerical simulation, damage

中图分类号:

TB321

黄友奇, 史刘彤, 高玉波, 周林. 蓝宝石单晶的动态力学性能及本构关系研究[J]. 硅酸盐通报, 2025, 44(9): 3391-3401.

HUANG Youqi, SHI Liutong, GAO Yubo, ZHOU Lin. Dynamic Mechanical Property and Constitutive Modeling of Sapphire Single Crystals[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2025, 44(9): 3391-3401.

参考文献

[1] KRELL A, STRASSBURGER E. Order of influences on the ballistic resistance of armor ceramics and single crystals[J]. Materials Science and Engineering: A, 2014, 597: 422-430.
[2] TANG M, ZHU W W, ZOU H H, et al. High strength and high light transmittance sapphire/sapphire joints bonded using a La₂O₃-Al₂O₃-SiO₂ glass filler[J]. Journal of the European Ceramic Society, 2022, 42(11): 4607-4615.
[3] YU Y, ZHU W W, MA Y J, et al. Novel design of sapphire/spinel transparent ceramic joints with double glass interlayers by coating and bonding[J]. Ceramics International, 2024, 50(1): 1591-1600.
[4] JOHNSON R, BISWAS P, RAMAVATH P, et al. Transparent polycrystalline ceramics: an overview[J]. Transactions of the Indian Ceramic Society, 2012, 71(2): 73-85.
[5] 牛欢欢. 蓝宝石的应变率效应和破坏模式研究[D]. 太原: 太原理工大学, 2022.
NIU H H. Study on strain rate effect and failure mode of sapphire[D]. Taiyuan: Taiyuan University of Technology, 2022 (in Chinese).
[6] 韩国庆, 谈梦婷, 邓佳杰, 等. AlON透明陶瓷动态压痕加载响应研究[J]. 力学学报, 2025, 57(2): 473-487.
HAN G Q, TAN M T, DENG J J, et al. Study on the dynamic indentation loading response of ALON transparent ceramics[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(2): 473-487 (in Chinese).
[7] 牛欢欢, 闫晓鹏, 罗浩舜, 等. 不同应变率下蓝宝石透明陶瓷玻璃的力学响应[J]. 爆炸与冲击, 2022, 42(7): 74-83.
NIU H H, YAN X P, LUO H S, et al. Mechanical response of sapphire transparent ceramic glass at different strain rates[J]. Explosion and Shock Waves, 2022, 42(7): 74-83 (in Chinese).
[8] 葛彦鑫. Al₂O₃/SiC复相陶瓷冲击失效机理研究[D]. 太原: 中北大学, 2022: 52-54.
GE Y X. Study on impact failure mechanism of Al₂O₃/SiC composite [D]. Taiyuan: North University of China, 2022: 52-54 (in Chinese).
[9] JOHNSON G R, HOLMQUIST T J. An improved computational constitutive model for brittle materials[C]//High-Pressure Science and Technology, Colorado Springs, Colorado (USA), 1994: 981-984.
[10] 罗浩舜, 牛欢欢, 王木飞, 等. 透明陶瓷夹层结构冲击响应及BP神经网络预测[J]. 爆炸与冲击, 2023, 43(10): 73-88.
LUO H S, NIU H H, WANG M F, et al. Impact response of transparent ceramic sandwich structures and its prediction by BP neural network[J]. Explosion and Shock Waves, 2023, 43(10): 73-88 (in Chinese).
[11] 杨震琦, 庞宝君, 王立闻, 等. JH-2模型及其在Al₂O₃陶瓷低速撞击数值模拟中的应用[J]. 爆炸与冲击, 2010, 30(5): 463-471.
YANG Z Q, PANG B J, WANG L W, et al. JH-2 model and its application to numerical simulation on Al₂O₃ ceramic under low-velocity impact[J]. Explosion and Shock Waves, 2010, 30(5): 463-471 (in Chinese).
[12] 刘江丽, 黄志文. 蓝宝石单晶材料的抗弹仿真分析[J]. 直升机技术, 2022(3): 10-15.
LIU L J, HUANG Z W. Experimental study on penetration resistance of the sapphire single crystal[J]. Helicopter Technique, 2022(3): 10-15 (in Chinese).
[13] SCAZZOSI R, GIGLIO M, MANES A. FE coupled to SPH numerical model for the simulation of high-velocity impact on ceramic based ballistic shields[J]. Ceramics International, 2020, 46(15): 23760-23772.
[14] BRESCIANI L M, MANES A, ROMANO T A, et al. Numerical modelling to reproduce fragmentation of a tungsten heavy alloy projectile impacting a ceramic tile: adaptive solid mesh to the SPH technique and the cohesive law[J]. International Journal of Impact Engineering, 2016, 87: 3-13.
[15] WANG Z, REN T F, SUO T, et al. Quasi-static and low-velocity impact biaxial flexural fracture of aluminosilicate glass: an experimental and numerical study[J]. Thin-Walled Structures, 2021, 165: 107939.
[16] KALA J, HUŠEK M. Improved element erosion function for concrete-like materials with the SPH method[J]. Shock and Vibration, 2016, 2016(1): 4593749.
[17] 殷和栋. 蓝宝石变温弹性模量的实验测量[D]. 哈尔滨: 哈尔滨工业大学, 2010.
YIN H D. Experimental measurements of sapphire's elastic modulus with temperature change[D]. Harbin: Harbin Institute of Technology, 2010 (in Chinese).
[18] RENGANATHAN P, DUFFY T S, GUPTA Y M. Hugoniot states and optical response of soda lime glass shock compressed to 120 GPa[J]. Journal of Applied Physics, 2020, 127(20): 205901.
[19] ZHANG B, GUO X T, LIU Y, et al. Study of glass laminate configurations on ballistic resistance of novel lightweight sapphire transparent laminated structures[J]. International Journal of Lightweight Materials and Manufacture, 2021, 4(4): 397-404.
[20] FU Q, WANG Y W, AN R, et al. A possible mechanism for the difference in ballistic performance between sapphire and spinel[J]. Journal of the European Ceramic Society, 2023, 43(14): 6234-6246.
[21] 高玉波. TiB₂-B₄C复合材料动态力学性能及抗侵彻机理研究[D]. 哈尔滨: 哈尔滨工业大学, 2016.
GAO Y B, Study of dynamic mechanical property and anti-penetration mechanism of TiB₂-B₄C composites[D]. Harbin: Harbin Institute of Technology, 2016 (in Chinese).
[22] 谭升帜. 考虑复杂应力状态和应变率效应的无机玻璃本构模型和破坏机理[D]. 广州: 华南理工大学, 2023.
TAN S Z. Constitutive model and failure mechanism of inorganic glass considering complex stress states and strain rate effects[D]. Guangzhou: South China University of Technology, 2023 (in Chinese).
[23] PENG Y, YANG J K, DECK C, et al. Finite element modeling of crash test behavior for windshield laminated glass[J]. International Journal of Impact Engineering, 2013, 57: 27-35.
[24] SARıKAYA M, GÜDEN M, KAMBUR Ç, et al. Development of the Johnson-Cook flow stress and damage parameters for the impact response of polycarbonate: experimental and numerical approach[J]. International Journal of Impact Engineering, 2023, 179: 104674.

蓝宝石单晶的动态力学性能及本构关系研究

Dynamic Mechanical Property and Constitutive Modeling of Sapphire Single Crystals

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	张争奇, 刘祉鑫, 芮照诚, 石杰荣, 杨新红. 地聚物稳定建筑固废再生集料性能研究[J]. 硅酸盐通报, 2025, 44(9): 3347-3354.
[2]	王倩倩, 戴航, 王立川, 张春瑜, 李利平, 王海彦, 张京京. 高氯盐加速侵蚀下水泥-水玻璃双液浆结石体耐久性研究[J]. 硅酸盐通报, 2025, 44(9): 3137-3146.
[3]	义启贵, 湛缕金, 刘祥, 许瑞天, 梁莹, 陈宗平. 碳酸氢钠溶液碳化:一种提高再生骨料混凝土性能的新方法[J]. 硅酸盐通报, 2025, 44(9): 3227-3237.
[4]	朱子龙, 陈培冲, 廖洁, 杨旋, 赵德强, 曲良辰, 王桂明, 沈卫国. 砂砾岩机制砂粒形对混凝土性能的影响[J]. 硅酸盐通报, 2025, 44(9): 3168-3177.
[5]	刘佳钰, 高誉, 刘泽, 温帅云, 王栋民, 危鹏, 张春辉, 朱正江, 李清亚. 水泥固化飞灰-水泥复合胶凝材料的性能与微观结构研究[J]. 硅酸盐通报, 2025, 44(9): 3272-3279.
[6]	张小龙, 王伟, 姚爱军, 王朝晖, 冯希浩, 王杰. 低温低压养护条件下复合胶凝材料性能研究[J]. 硅酸盐通报, 2025, 44(9): 3295-3304.
[7]	余洁歆, 朱艺婷, 庄旭, 陈玉霜, 张广达, 许莉. 以尾矿砂为骨料的绿色工程水泥基复合材料力学性能研究[J]. 硅酸盐通报, 2025, 44(9): 3337-3346.
[8]	金珊珊, 李响, 张扬, 刘鹏飞, 王志华, 李刘欢, 赵耀东. 沥灰比对水泥乳化沥青砂浆疲劳性能的影响[J]. 硅酸盐通报, 2025, 44(9): 3472-3482.
[9]	田哲泉, 刘涛, 余刘成, 黄习习, 张艳, 衣向阳. 硫酸盐侵蚀-干湿循环下纤维-水泥改良渣土的力学性能[J]. 硅酸盐通报, 2025, 44(9): 3483-3492.
[10]	阮佳豪, 张雷, 李宇佳. 烧结制度对陶瓷结合剂金刚石砂轮性能的影响[J]. 硅酸盐通报, 2025, 44(8): 2988-2995.
[11]	朱建平, 曹佳楠, 王祚麟, 李根深, 刘松辉, 郑波, 冯春花. 低钙高镁石灰石制备固碳熟料及其碳酸化硬化机理[J]. 硅酸盐通报, 2025, 44(8): 2762-2770.
[12]	白敏, 龙勇, 黄旺明, 胡雄伟, 郭蒙. 匹配养护下氧化镁膨胀剂对砂浆性能和微观结构的影响[J]. 硅酸盐通报, 2025, 44(8): 2781-2789.
[13]	王嘉伟, 李传海, 张冲, 张秀芝. LDHs对超硫酸盐水泥抗碳化性能的影响[J]. 硅酸盐通报, 2025, 44(8): 2790-2800.
[14]	李义胜, 吕伟, 吴赤球, 余正康, 何静, 水中和. 高掺量磷石膏胶凝材料硬化体制备及其性能调节[J]. 硅酸盐通报, 2025, 44(8): 2944-2954.
[15]	王雨铮, 周浩天, 谢鑫, 高旭, 高奎, 曹鸿猷. 车桥耦合振动对拼宽混凝土匀质性的影响[J]. 硅酸盐通报, 2025, 44(8): 2849-2855.