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Published April 2011 | public
Journal Article

Phase-Multiplied Photoelastic and Series Interferometer Arrangement for Full-Field Stress Measurement


A compact, phase-multiplied, circular polariscope and series interferometer arrangement is developed for high-resolution, full-field stress measurement in single crystals with weak piezo-optical coefficients. We present a general stress-optic law, derived from anisotropic piezooptical constitutive relations, which provides the theoretical framework for obtaining stress field components from measured optical isoclinic, isochromatic and isopachic phase maps. A new phase image processing technique is also developed, which combines data obtained from different interference configurations for the successful removal of low-modulation zones within isoclinic and isopachic phase maps. The validity and accuracy of the proposed interferometer arrangement and stress measurement methodology are demonstrated through a compression test of a c-cut single crystal sapphire plate loaded by a cylindrical indenter.

Additional Information

© 2010 Society for Experimental Mechanics. Received: 26 July 2010; Accepted: 22 November 2010; Published online: 23 December 2010. Xia SM gratefully acknowledges the support of the National Science Foundation (DMR # 0520565) through the Center for Science and Engineering of Materials (CSEM) at the California Institute of Technology. The authors also thank Prof. Guruswami Ravichandran and Prof. Kaushik Bhattacharya at the California Institute of Technology for extremely helpful and insightful discussions.

Additional details

August 22, 2023
October 23, 2023