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Separation of Photoelastic Principal Stresses by Analytical Evaluation and Digital Image Processing

Published online by Cambridge University Press:  05 May 2011

C.W. Chang*
Affiliation:
Department of Civil Engineering, Chung Hua University, HsinChu, Taiwan 30012, R.O.C
P.H. Chen*
Affiliation:
Commissioner of Public Works Department, HsinChu City Government, Taiwan
H.S. Lien*
Affiliation:
Department of Civil Engineering, Chung Hua University, HsinChu,, Taiwan 30012, R.O.C.
*
* Associate Professor
**Ph.D. student
**Ph.D. student
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Abstract

A new method for separation of isochromatic stresses is presented. This method is derived from the series solution of self-equilibrium polynomial stress equations and compatibility equations. The equations are quantified in terms of a stress function as the photoelastic stresses. Those equations are combined with the digital image processing technique and the linear regression curve fitting method to determine the contour equations of isochromictics and isoclinics fields. The solution of those equations provides a relationship between the normal stresses/shear stress and the photoelastic stress (maximum shearing stress). The results are consistent with the results obtained by the finite element method.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

1.Allison, I. M., “Rapid Method for Stress Separation in Two Dimensional Photoelastic Models,” Strain, 35, pp. 8386 (1999).CrossRefGoogle Scholar
2.Berghaus Donald, G., “Combining Photoelasticity and Finite-Element Methods for Stress Analysis Using Least Squares,” Experimental Mechanics, 31, pp. 3641 (1991).CrossRefGoogle Scholar
3.Quiroga, J. A. and Gonzalez-Cano, A., “Stress Separation from Photoelastic Data by a Multigrid Method,” Measurement Science & Technology, 9, pp. 12041210 (1998).CrossRefGoogle Scholar
4.Ramesh, K. and Mangal, S. K., “Whole Field Stress Separation by Oblique Incidence Using Phase-Shifting Technique,” Proceedings of SPIE—The International Society for Optical Engineering, 4317, pp. 123128 (2001).Google Scholar
5.Chen, T. Y., Lee, H. L. and Chou, Y. C., “An Improved Two-Load Method for Whole-Field Complete Photoelastic Fringe Analysis,” Journal of Mechanics, 21, pp. 199203 (2005).CrossRefGoogle Scholar
6.Zhao, Bing. and Fang, Ruhua., “Photoelastic Full-Field Measurement with a Polarized Microscope,” Tongji Daxue Xuebao/Journal of Tongji University, 27, pp. 2528 (1999).Google Scholar
7.Pao, Yih-Hsing, “Applied Mechanics in Science and Engineering,” The Chinese Journal of Mechanics, 16, pp. 5366 (2000).CrossRefGoogle Scholar
8.Mahfuz, H. and Wong, T. L. and Case, R. O., “Separation of Principal Stresses by SOR Technique Over Arbitrary Boundaries,” Experimental Mechanics, 30, pp. 319327 (1990).CrossRefGoogle Scholar
9.Jirousek, J. and Venkatesh, A., “Generation of Optimal Assumed Stress Expansions for Hybrid-Stress Elements,” Computers and Structures, 32, pp. 14131417 (1989).CrossRefGoogle Scholar
10.Zhenkun, Lei., Dazhen, Yun. and Wanming, Yu., “Whole-Field Determination of Isoclinic Parameter by Five-Step Color Phase Shifting and its Error Analysis,” Optics and Lasers in Engineering, 40, pp. 189200 (2003).CrossRefGoogle Scholar
11.Xinhua, Ji., Huang, Kai. and Jun, Li., “The Study of Automatic Photoelasticity Image Analysis by Load-Stepped Method and its Computer Analogy,” Proceedings of SPIE—The International Society for Optical Engineering, 5286, pp. 807810 (2003).Google Scholar
12.Patterson, Eann. A., “Digital Photoelasticity: Principles, Practice and Potential,” Strain, 38, pp. 2739 (2002).CrossRefGoogle Scholar
13.Ramesh, Krishnamurthi. and Singh, Rajeev. K., “Comparative Performance Evaluation of Various Fringe Thinning Photomechanics,” Journal of Electronic Imaging, 4, pp. 7183 (1995).CrossRefGoogle Scholar
14.Frocht, M. M., Photelasticity, John Willy & Sons, New York (1941).Google Scholar