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

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

Chang-Sheng Li1,2, Na Zhao1, Liang-Chi Zhang3,4,5, Jian-Jun Ding1, Lin Sun1, Duan-Zhi Duan1, Cheng-Wei Kang1, Zhuang-De Jiang1   

  1. 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).

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