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In order to study the effect of micro-cracks on the damage growth, the different field enhancements of the Hertzian micro crack are investigated by varying its angle, width, and depth. Simulation results show that the most harmful cracks are those with inclination angles from 20.9° to 45°, and the cracks with an angle less than 45° and larger than 48.2° are also harmful, but the cracks with inclination angle of 45° are the least harmful. Increasing the depth of the Hertzian cracks will lead to their field enhancement factors increasing with a quadratic relationship. However, increasing the width does not make it essential to the increase of its field enhancement ability. The development of micro-cracks can be approximated by increase its depth and width, so the development of cracks will lead to the increase of its light field modulation capability, and also to its damage growth rate to accelerate, following an exponential law.
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Keywords:
- damage growth /
- sub-surface defects /
- Hertzian crack /
- light field enhancement
[1] Demos S G, Kozlowski M R, Staggs M C 2001 International Society for Optics and Photonics Boulder, October 16, 2000 p277
[2] Bloembergen N 1973 Applied Optics 12 661
[3] Genin F Y, Salleo A, Pistor T V 2001 JOSA A 18 2607
[4] Wang Y, Xu Q, Chai L Q, Chen N, Zhu X Q 2005 High Power Laser and Part. Beams 17 67 (in Chinese) [王毅, 许乔, 柴立群 2005 强激光与粒子束 17 67]
[5] Chai L Q, Ge D B, Xu Q 2005 Optical Technique 31 24 (in Chinese) [柴立群, 葛德彪, 许乔 2005 光学技术 31 24]
[6] Tian D B, Yuan X D, Zu X T 2008 High Power Laser and Part. Beams 319 (in Chinese) [田东斌, 袁晓东, 祖小涛 2008 强激光与粒子束 20 319]
[7] Hua J R, Li L, Xiang X 2011 Acta Phys. Sin. 60 044206 (in Chinese) [花金荣, 李莉, 向霞 2011 60 044206]
[8] Li L, Xia X, Xiao-Tao Z 2011Chin. Phys. B 20 074209
[9] Zhang L, Chen W, Hu L 2013 Applied Optics 52 980
[10] Rubenchik A M, Feit M D 2002 International Society for Optics and Photonics Boulder 2002 p79
[11] Norton M A, Hrubesh L W, Wu Z 2001 Proc. SPIE. 2001 p4347
[12] Norton M A, Carr A V, Carr C W 2008 International Society for Optics and Photonics Boulder Damage Symposium XL Annual Symposium on Optical Materials for High Power Lasers Boulder, September 22, 2008 p71321H
[13] Lawn B, Wilshaw R 1975Journal of Materials Science 10 1049
[14] Hamza A V, Siekhaus W J, Rubenchik A M Boulder Damage International Society for Optics and Photonics Boulder, October 01, 2001 p96
[15] Hrubesh L W, Norton M A 2001 LLNL REPORT 2001 UCRL-JC-144295 p1
[16] Yin W, Xu S Z, Zu X T 2009 Atomic Energy Science and Technology 43 860 (in Chinese) [尹伟, 徐世珍, 祖小涛 2009 原子能科学技术 43 860]
[17] Bass I L, Guss G M, Hackel R P 2005 Boulder Damage Symposium XXXVII: Annual Symposium on Optical Materials for High Power Lasers. International Society for Optics and Photonics Boulder, September 19, 2005 p59910C
[18] Gallais L, Cormont P, Rullier J L 2009 Opt. Express 17 p23488
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[1] Demos S G, Kozlowski M R, Staggs M C 2001 International Society for Optics and Photonics Boulder, October 16, 2000 p277
[2] Bloembergen N 1973 Applied Optics 12 661
[3] Genin F Y, Salleo A, Pistor T V 2001 JOSA A 18 2607
[4] Wang Y, Xu Q, Chai L Q, Chen N, Zhu X Q 2005 High Power Laser and Part. Beams 17 67 (in Chinese) [王毅, 许乔, 柴立群 2005 强激光与粒子束 17 67]
[5] Chai L Q, Ge D B, Xu Q 2005 Optical Technique 31 24 (in Chinese) [柴立群, 葛德彪, 许乔 2005 光学技术 31 24]
[6] Tian D B, Yuan X D, Zu X T 2008 High Power Laser and Part. Beams 319 (in Chinese) [田东斌, 袁晓东, 祖小涛 2008 强激光与粒子束 20 319]
[7] Hua J R, Li L, Xiang X 2011 Acta Phys. Sin. 60 044206 (in Chinese) [花金荣, 李莉, 向霞 2011 60 044206]
[8] Li L, Xia X, Xiao-Tao Z 2011Chin. Phys. B 20 074209
[9] Zhang L, Chen W, Hu L 2013 Applied Optics 52 980
[10] Rubenchik A M, Feit M D 2002 International Society for Optics and Photonics Boulder 2002 p79
[11] Norton M A, Hrubesh L W, Wu Z 2001 Proc. SPIE. 2001 p4347
[12] Norton M A, Carr A V, Carr C W 2008 International Society for Optics and Photonics Boulder Damage Symposium XL Annual Symposium on Optical Materials for High Power Lasers Boulder, September 22, 2008 p71321H
[13] Lawn B, Wilshaw R 1975Journal of Materials Science 10 1049
[14] Hamza A V, Siekhaus W J, Rubenchik A M Boulder Damage International Society for Optics and Photonics Boulder, October 01, 2001 p96
[15] Hrubesh L W, Norton M A 2001 LLNL REPORT 2001 UCRL-JC-144295 p1
[16] Yin W, Xu S Z, Zu X T 2009 Atomic Energy Science and Technology 43 860 (in Chinese) [尹伟, 徐世珍, 祖小涛 2009 原子能科学技术 43 860]
[17] Bass I L, Guss G M, Hackel R P 2005 Boulder Damage Symposium XXXVII: Annual Symposium on Optical Materials for High Power Lasers. International Society for Optics and Photonics Boulder, September 19, 2005 p59910C
[18] Gallais L, Cormont P, Rullier J L 2009 Opt. Express 17 p23488
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