[1] [1] WANG Y X. Development and applications of optical glasses ［J］. Journal Applied Optical, 2005(5): 61-66 . (in Chinese)

[2] [2] SINGH R P, SINGHAL S. Rotary ultrasonic machining: a review［J］. Materials and Manufacturing Processes, 2016, 31(14): 1795-1824.

[3] [3] ZHANG CH L, FENG P F, ZHANG J F. Ultrasonic vibration-assisted scratch-induced characteristics of C-plane sapphire with a spherical indenter［J］. International Journal of Machine Tools & Manufacture, 2013, 64(4): 38-48.

[4] [4] CAO J G, WU Y B, LU D, et al.. Material removal behavior in ultrasonic-assisted scratching of SiC ceramics with a single diamond tool［J］. International Journal of Machine Tools & Manufacture, 2014, 79: 49-61.

[5] [5] WANG J J, FENG P F, ZHANG J F, et al.. Investigations on the critical feed rate guaranteeing the effectiveness of rotary ultrasonic machining［J］. Ultrasonics, 2017, 74: 81-88.

[6] [6] GU W B, YAO ZH Q, LIANG X G. Material removal of optical glass BK7 during single and double scratch tests［J］. Wear, 2011, 270(3-4): 241-246.

[7] [7] ZHAO P Y, ZHOU M, HUANG SH N. Sub-surface crack formation in ultrasonic vibration-assisted grinding of BK7 optical glass［J］. The International Journal of Advanced Manufacturing Technology, 2017, 93(5-8): 1685-1697.

[8] [8] BANDYOPADHYAY P, DEY A, MANDAL A K, et al.. New observations on scratch deformations of soda lime silica glass［J］. Journal of Non-Crystalline Solids, 2012, 358(16): 1897-1907.

[9] [9] ZHAO P Y. Research on Brittle Ductile Transition and Machining Quality in Ultrasonic Vibration Assisted Grinding of BK7 Optical Glass ［D］. Harbin: Harbin Institute of Technology, 2017. (in Chinese)

[10] [10] LAWN B R, SWAIN M V. Microfracture beneath point indentations in brittle solids［J］. Journal of Materials Science, 1975, 10(1): 113-122.