An analytical method for assessing the initiation and interaction of cracks in fused silica subjected to contact sliding

doi:10.1007/s40436-023-00444-2

Advances in Manufacturing ›› 2023, Vol. 11 ›› Issue (3): 363-377.doi: 10.1007/s40436-023-00444-2

An analytical method for assessing the initiation and interaction of cracks in fused silica subjected to contact sliding

Chang-Sheng Li^1,2, Na Zhao¹, Liang-Chi Zhang^3,4,5, Jian-Jun Ding¹, Lin Sun¹, Duan-Zhi Duan¹, Cheng-Wei Kang¹, Zhuang-De Jiang¹

1 State Key Laboratory for Manufacturing Systems Engineering & International Joint Laboratory for Micro/Nano Manufacturing and Measurement Technologies, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China;
2 State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China;
3 Shenzhen Key Laboratory of Cross-scale Manufacturing Mechanics, Southern University of Science and Technology, Shenzhen 518055, Guangdong, People's Republic of China;
4 SUSTech Institute for Manufacturing Innovation, Southern University of Science and Technology, Shenzhen 518055, Guangdong, People's Republic of China;
5 Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, Guangdong, People's Republic of China

收稿日期:2022-12-03 修回日期:2023-02-01 出版日期:2023-09-09 发布日期:2023-09-09
通讯作者: Na Zhao,E-mail:zn2020@xjtu.edu.cn;Liang-Chi Zhang,E-mail:zhanglc@sustech.edu.cn E-mail:zn2020@xjtu.edu.cn;zhanglc@sustech.edu.cn
作者简介:Chang-Sheng Li born in 1989, is currently an assistant professor at School of Mechanical Engineering, Xi'an Jiaotong University, China. He received his BSc, MSc and Ph.D. from Xi'an Jiaotong University, in 2012, 2015 and 2019. His research interests include precision/ultra-precision machining and precision measurement.
Na Zhao received the Ph.D. degree in instrument science and technology from the School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an, China, in 2020. She is currently an Assistant Professor at Xi'an Jiaotong University. Her research interests include optical fiber temperature sensing and optical fiber pressure sensing.
Liang-Chi Zhang is an academician/chair professor at Southern University of Science and Technology. His research interests include:precision manufacturing, bio-manufacturing, nanotechnology, characterisation of advanced materials, tribology, solid mechanics, computational mechanics.
Jian-Jun Ding is currently a professor at School of Mechanical Engineering, Xi'an Jiaotong University, China. He received his BSc and MSc from Central South University, China, and Ph.D. from Xi'an Jiaotong University. His research interests include:precision measurement, precision machining, intelligent manufacturing.
Lin Sun born in 1989, is currently an assistant professor at School of Mechanical Engineering, Xi'an Jiaotong University, China. He received his BSc in Northeastern University, China, in 2012, and Ph.D. in ultra-precision grinding from Xi'an Jiaotong University, in 2019.
Duan-Zhi Duan born in 1988, is currently an associate professor at School of Mechanical Engineering, Xi'an Jiaotong University, China. He received his BSc, MSc and Ph.D. from Nanjing University of Aeronautics and Astronautics, in 2009, 2012 and 2016. His research interests is focused on the precision/ultra-precision machining.
Cheng-Wei Kang is a professor at Xi’an Jiaotong University. He received his PhD from the University of Queensland in 2016 and joined University College Dublin as a post-doctoral research fellow afterwards. In 2018, he was promoted to Senior Research Engineer and Lab Supervisor in Centre of Micro/Nano Manufacturing Technology. He began working as a full professor at Xi’an Jiaotong University in the year 2022. Professor Kang’s research concerns the ultraprecision machining.
Zhuang-De Jiang is a distinguished professor in the field of MEMS, nanotechnology and precision engineering. He is an academician of Chinese Academy of Engineering and a professor of Xi'an Jiaotong University, China. In addition, Professor Jiang is affiliated with a number of committees at national levels. He is the director of Strategic Steering Committee under the State Council, the Head of mechanical discipline assessment of National Science and Technology Award Committee, vice chairman of Chinese Society of Micro-Nano Technology, and President of Shaanxi Provincial Association of Science and Technology.
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52293401, 52205494, 52293405), the State Key Laboratory of Mechanical System and Vibration in China (Grant No. MSV202103), the Key Research and Development Projects of Shaanxi Province in China (Grant No. 2021GXLH-Z-051), the Shenzhen Key Laboratory of Cross-scale Manufacturing Mechanics Project (Grant No. ZDSYS20200810171201007), and the Guangdong Specific Discipline Project (Grant No. 2020ZDZX2006).

An analytical method for assessing the initiation and interaction of cracks in fused silica subjected to contact sliding

Chang-Sheng Li^1,2, Na Zhao¹, Liang-Chi Zhang^3,4,5, Jian-Jun Ding¹, Lin Sun¹, Duan-Zhi Duan¹, Cheng-Wei Kang¹, Zhuang-De Jiang¹

1 State Key Laboratory for Manufacturing Systems Engineering & International Joint Laboratory for Micro/Nano Manufacturing and Measurement Technologies, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China;
2 State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China;
3 Shenzhen Key Laboratory of Cross-scale Manufacturing Mechanics, Southern University of Science and Technology, Shenzhen 518055, Guangdong, People's Republic of China;
4 SUSTech Institute for Manufacturing Innovation, Southern University of Science and Technology, Shenzhen 518055, Guangdong, People's Republic of China;
5 Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, Guangdong, People's Republic of China

Received:2022-12-03 Revised:2023-02-01 Online:2023-09-09 Published:2023-09-09
Contact: Na Zhao,E-mail:zn2020@xjtu.edu.cn;Liang-Chi Zhang,E-mail:zhanglc@sustech.edu.cn E-mail:zn2020@xjtu.edu.cn;zhanglc@sustech.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52293401, 52205494, 52293405), the State Key Laboratory of Mechanical System and Vibration in China (Grant No. MSV202103), the Key Research and Development Projects of Shaanxi Province in China (Grant No. 2021GXLH-Z-051), the Shenzhen Key Laboratory of Cross-scale Manufacturing Mechanics Project (Grant No. ZDSYS20200810171201007), and the Guangdong Specific Discipline Project (Grant No. 2020ZDZX2006).

摘要/Abstract

摘要： Understanding the fracture behavior of fused silica in contact sliding is important to the fabrication of damage-free optics. This study develops an analytical method to characterize the stress field in fused silica under contact sliding by extending the embedded center of dilation (ECD) model and considering the depth of yield region. The effects of densification on the stress fields were considered by scratch volume analysis and finite element analysis. Key mechanisms, such as crack initiation and morphology evolution were comprehensively investigated by analyzing the predicted stress fields and principal stress trajectories. The predictions were validated by Berkovich scratching experiment. It was found that partial conical, median and lateral cracks could emerge in the loading stage of the contact sliding, but radial and lateral cracks could be initiated during unloading. It was also found that the partial conical crack had the lowest initiation load. The intersection of long lateral cracks makes the material removal greater.

The full text can be downloaded at https://link.springer.com/article/10.1007/s40436-023-00444-2

关键词: Fused silica, Contact sliding, Stress field, Crack initiation, Material removal

Abstract: Understanding the fracture behavior of fused silica in contact sliding is important to the fabrication of damage-free optics. This study develops an analytical method to characterize the stress field in fused silica under contact sliding by extending the embedded center of dilation (ECD) model and considering the depth of yield region. The effects of densification on the stress fields were considered by scratch volume analysis and finite element analysis. Key mechanisms, such as crack initiation and morphology evolution were comprehensively investigated by analyzing the predicted stress fields and principal stress trajectories. The predictions were validated by Berkovich scratching experiment. It was found that partial conical, median and lateral cracks could emerge in the loading stage of the contact sliding, but radial and lateral cracks could be initiated during unloading. It was also found that the partial conical crack had the lowest initiation load. The intersection of long lateral cracks makes the material removal greater.

The full text can be downloaded at https://link.springer.com/article/10.1007/s40436-023-00444-2

Key words: Fused silica, Contact sliding, Stress field, Crack initiation, Material removal

Chang-Sheng Li, Na Zhao, Liang-Chi Zhang, Jian-Jun Ding, Lin Sun, Duan-Zhi Duan, Cheng-Wei Kang, Zhuang-De Jiang. An analytical method for assessing the initiation and interaction of cracks in fused silica subjected to contact sliding[J]. Advances in Manufacturing, 2023, 11(3): 363-377.

参考文献

1. Campbell JH, Hawley-Fedder RA, Stolz CJ et al (2004) NIF optical materials and fabrication technologies: an overview. Proc Soc Photo-Opt Instrum 5341:84-101
2. Shao JD, Dai YP, Xu Q (2012) Progress on the optical materials and components for the high power laser system in China. Proc SPIE. https://doi.org/10.1117/12.911108
3. Criddle J, Nürnberg F, Sawyer R et al (2016) Fused silica challenges in sensitive space applications. SPIE Astron Telesc Instrum 9912:99120K. https://doi.org/10.1117/12.2231661
4. Andrew N, Aleksandr E (2014) Overview of the optic component manufacturing and measurements for the advanced virgo optics. In: Processing of SPIE optical engineering applications, 17-21 August, San Diego, California. https://doi.org/10.1117/12.2062229
5. Camp J, Billingsley G, Kells W et al (2001) LIGO optics: initial and advanced. SPIE Boulder Damage, 1-3 October 2001, Boulder. https://doi.org/10.1117/12.461689
6. Suratwala T, Steele R, Feit MD et al (2008) Effect of rogue particles on the sub-surface damage of fused silica during grinding/polishing. J Non-Cryst Solids 354(18):2023-2037
7. Li L, Ge P (2022) Analytical modeling of the stress field in scratching anisotropic single-crystal silicon. Mater Sci Semicond Process 152:107099. https://doi.org/10.1016/j.mssp.2022.107099
8. Rouxel T (2015) Driving force for indentation cracking in glass: composition, pressure and temperature dependence. Philos Trans R Soc A 373:20140140. https://doi.org/10.1098/Rsta.2014.0140
9. Rouxel T, Ji H, Guin JP et al (2010) Indentation deformation mechanism in glass: densification versus shear flow. J Appl Phys 107:094903. https://doi.org/10.1063/1.3407559
10. Sonneville C, Mermet A, Champagnon B et al (2012) Progressive transformations of silica glass upon densification. J Chem Phys 137:124505. https://doi.org/10.1063/1.4754601
11. Möncke D, Lind F, Topper B et al (2021) Anomalous deformation behavior in ULE glass upon microindentation: a vibrational spectroscopic investigation in the induced structural changes of a Ti-silicate glass. J Phys Chem C 125(7):4183-4195
12. Rouxel T, Ji H, Hammouda T et al (2008) Poisson’s ratio and the densification of glass under high pressure. Phys Rev Lett 100:225501. https://doi.org/10.1103/Physrevlett.100.225501
13. Johnson KL (1987) Contact mechanics. Cambridge University Press, Cambridge, UK
14. Yoffe EH (1982) Elastic stress-fields caused by indenting brittle materials. Philos Mag A 46(4):617-628
15. Wang W, Li Z, Yao P et al (2020) Sink-in/pile-up formation and crack nucleation mechanisms of high purity fused silica and sodalime silica glass during nanoindentation experiments. Ceram Int 46(15):24698-24709
16. Ahn Y, Farris TN, Chandrasekar S (1998) Sliding microindentation fracture of brittle materials: role of elastic stress fields. Mech Mater 29(3/4):143-152
17. Jing X, Maiti S, Subhash G (2007) A new analytical model for estimation of scratch-induced damage in brittle solids. J Am Ceram Soc 90(3):885-892
18. Hu W, Teng Q, Hong T et al (2022) Stress field modeling of singleabrasive scratching of BK7 glass for surface integrity evaluation. Ceram Int 48(9):12819-12828
19. Wang W, Yao P, Wang J et al (2017) Elastic stress field model and micro-crack evolution for isotropic brittle materials during single grit scratching. Ceram Int 43(14):10726-10736
20. Jiang Q, Zhang L, Yang C (2022) Analysis of crack initiation load and stress field in double scratching of single crystal gallium nitride. Eng Fract Mech 274:108732. https://doi.org/10.1016/j.engfracmech.2022.108732
21. Gao S, Li H, Kang R et al (2021) Effect of strain rate on the deformation characteristic of AlN ceramics under scratching. Micromachines 12(1):77. https://doi.org/10.3390/mi12010077
22. Feng J, Huang X, Yang S et al (2021) Speed effect on the material behavior in high-speed scratching of BK7 glass. Ceram Int 47(14):19978-19988
23. Zhao F, Lin B, He Y et al (2022) Curvature effect induced cutting stress field offset and its influence on the damage of hard and brittle materials. J Mater Process Technol 303:117526. https://doi.org/10.1016/j.jmatprotec.2022.117526
24. Feng J, Wan Z, Wang W et al (2020) Unique crack behaviors of glass BK7 occurred in successive double scratch under critical load of median crack initiation. J Eur Ceram Soc 40(8):3279-3290
25. Li C, Zhang L, Sun L et al (2020) A finite element study on the effects of densification on fused silica under indentation. Ceram Int 46(17):26861-26870
26. Li C, Zhang L, Sun L et al (2019) A quantitative analysis of the indentation fracture of fused silica. J Am Ceram Soc 102(12):7264-7277
27. Feng G, Qu S, Huang Y et al (2007) An analytical expression for the stress field around an elastoplastic indentation/contact. Acta Mater 55(9):2929-2938
28. Fang X, Li C, Sun L et al (2020) Hardness and friction coefficient of fused silica under scratching considering elastic recovery. Ceram Int 46(6):8200-8208
29. Hamilton GM (1983) Explicit equations for the stresses beneath a sliding spherical contact. Proc Inst Mech Eng C J Mech Eng Sci 197(1):53-59
30. Huang H, Lawn BR, Cook RF et al (2020) Critique of materialsbased models of ductile machining in brittle solids. J Am Ceram Soc 103(11):6096-6100
31. Bifano TG, Dow TA, Scattergood RO (1991) Ductile-regime grinding: a new technology for machining brittle materials. J Eng Ind 113(2):184-189
32. Oliver WC, Pharr GM (1992) An improved technique for determining hardness and elastic-modulus using load and displacement sensing indentation experiments. J Mater Res 7(6):1564-1583
33. Lambropoulos JC, Fang T, Funkenbusch PD et al (1996) Surface microroughness of optical glasses under deterministic microgrinding. Appl Opt 35(22):4448-4462
34. Broitman E (2017) Indentation hardness measurements at macro-, micro-, and nanoscale: a critical overview. Tribol Lett 65:23. https://doi.org/10.1007/s11249-016-0805-5
35. Li C, Ma Y, Sun L et al (2022) An investigation into the densificationaffected deformation and fracture in fused silica under contact sliding. Micromachines 13(7):1106. https://doi.org/10.3390/mi13071106
36. Sellappan P, Rouxel T, Celarie F et al (2013) Composition dependence of indentation deformation and indentation cracking in glass. Acta Mater 61(16):5949-5965
37. Yoshida S, Sangleboeuf JC, Rouxel T (2005) Quantitative evaluation of indentation-induced densification in glass. J Mater Res 20(12):3404-3412
38. Zarudi I, Zhang LC, Zou J et al (2004) The R8-BC8 phases and crystal growth in monocrystalline silicon under microindentation with a spherical indenter. J Mater Res 19(1):332-337
39. Liu M, Zheng Q, Gao C (2020) Sliding of a diamond sphere on fused silica under ramping load. Mater Today Commun 25:101684. https://doi.org/10.1016/j.mtcomm.2020.101684
40. Suratwala T, Wong L, Miller P et al (2006) Sub-surface mechanical damage distributions during grinding of fused silica. J Non-Cryst Solids 352(52):5601-5617

[1]	Ben-Kai Li, Biao Zhao, Wen-Feng Ding, Yu-Can Fu, Chang-He Li, Rong Wang, Yan-Jun Zhao. CBN grain wear and its effects on material removal during grinding of FGH96 powder metallurgy superalloy[J]. Advances in Manufacturing, 2023, 11(1): 21-38.
[2]	Wei Li, Liang-Chi Zhang, Chu-Han Wu, Zhen-Xiang Cui, Chao Niu, Yan Wang. Debris effect on the surface wear and damage evolution of counterpart materials subjected to contact sliding[J]. Advances in Manufacturing, 2022, 10(1): 72-86.
[3]	Xiao-Liang Shi, Shi-Chao Xiu, Hui-Ling Su. Residual stress model of pre-stressed dry grinding considering coupling of thermal, stress, and phase transformation[J]. Advances in Manufacturing, 2019, 7(4): 401-410.

An analytical method for assessing the initiation and interaction of cracks in fused silica subjected to contact sliding

An analytical method for assessing the initiation and interaction of cracks in fused silica subjected to contact sliding

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

编辑推荐

Metrics

本文评价