Automatic Stress Measurement by Integrating Photoelasticity and Spectrometry
Abstract
By integrating the white light photoelasticity (WLP) and spectrometry, a novel stress measurement method called transmissivity extremities theory of photoelasticity (TEToP) has been recently developed. The key of TEToP is to establish the systematic three-dimensional relationship of transmissivity with stress and wavelength (3DRoTwSW) and further derive the stress quantifying formula (SQF). Based on the high resolution and sensitivity of the spectrometer and the high measurement accuracy of the WLP, in contrast to the traditional photoelasticity, TEToP can measure the low level stress even in low birefringence materials. However, until now, TEToP has not been used in higher level stress measurement. The primary purpose of this paper is to extend the application of TEToP to higher level stress measurement. By analyzing the 3DRoTwSW, the correlation between different transmissivity extremities linear equations (TELEs) can be proved definitely and the feasibility of the development of TEToP on automatic stress measurement can be further confirmed. Furthermore, the measurement results of the specimens with different thicknesses were investigated. By exploring the connection between the parameters in TEToP and thicknesses of specimens, the SQFs of different thicknesses can be further derived. In this paper, both glass and PSM-1 were used to verify the generality of TEToP.
Keywords
Transmissivity extremities theory of photoelasticity Transmissivity extremities linear equation Automatic stress measurement White light photoelasticity SpectrometerNotes
Acknowledgments
This paper was supported in part by the National Science Council of the Republic of China (grant no. NSC 102-2221-E-007-041).
References
- 1.Bureau of Foreign Trade (2013) Information and communication technology industry development program. Bureau of Foreign Trade, Ministry of Economic Affairs, TaiwanGoogle Scholar
- 2.Frocht MM (1984) Photoelasticity, vol 2. Wiley, New York, Chapter 4Google Scholar
- 3.Ramesh K (2000) Digital photoelasticity: advanced techniques and applications. Springer, BerlinCrossRefGoogle Scholar
- 4.Ajovalasit A, Barone S, Petrucci G (1998) A review of automated methods for the collection and analysis of photoelastic data. J Strain Anal Eng Des 33(2):75–91CrossRefGoogle Scholar
- 5.Petrucci G (1997) Full field automatic evaluation of an isoclinic parameter in white light. Exp Mech 37(4):420–426CrossRefGoogle Scholar
- 6.Liu T, Asundi A, Boay CG (2001) Full-field automated photoelasticity using two-load-step method. Opt Eng 40(8):1629–1635CrossRefGoogle Scholar
- 7.D’Acquisto L, Petrucci G, Zuccarello B (2002) Full field automated evaluation of the quarter wave plate retardation by phase stepping technique. Opt Lasers Eng 37:389–400CrossRefGoogle Scholar
- 8.Wakayama T, Otani Y, Umeda N (2005) Real-time measurement for birefringence dispersion using double retarder. Proc SPIE 5888:588807/1–588807/6Google Scholar
- 9.Ajovalasit A, Barone S, Petrucci G (2007) Phase shifting photoelasticity in white light. Opt Lasers Eng 45:596–611CrossRefGoogle Scholar
- 10.Wakayama T, Otani Y, Umeda N (2008) One-shot birefringence dispersion measurement based on channeled spectrum technique. Opt Commun 281:3668–3672CrossRefGoogle Scholar
- 11.Otani Y, Wakayama T, Oka K, Umeda N (2008) Spectroscopic Muller matrix polarimeter using four-channeled spectra. Opt Commun 281:5725–5730CrossRefGoogle Scholar
- 12.Otani Y, Wakayama T (2008) Two-dimensional measurement of birefringence dispersion. In: Proceedings of the international symposium to commemorate the 60th anniversary of the invention of holography, Springfield, MA, 27–29 Oct, pp 178–182Google Scholar
- 13.Wang WC, Hwang CH, Sung PC, Chen WR, Lai GT (2012) An apparatus for quantifying unknown stress and residual stress of a material and a method thereof. USA invention patent, patent application number: 1006085Google Scholar
- 14.Sung PC, Wang WC, Hwang CH, Lai GT (2012) A novel stress measurement method by integrating white light photoelasticity and spectrometry. In: 2012 IUTAM symposium on advances of optical methods in experimental mechanics, paper no. G-10, Taipei, Taiwan, 3–6 Nov 2012, pp 1–11Google Scholar
- 15.Website: http://www.mathworks.com/