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A Non-linear Algorithm of Photoelastic Tomography for the Axisymmetric Problem

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Abstract

A non-linear algorithm of photoelastic tomography for the measurement of axisymmetric stress fields has been elaborated. It is free of any assumptions concerning the value of the birefringence or rotation of the principal stress axes along the light rays. The algorithm is based on the measurement of characteristic directions and phase retardation in two parallel sections of the test object. Stress components are presented in the form of power series along the radial coordinate. A differential evolution algorithm has been used for finding the stress field parameters, which fit the measurement data best. Application of the method is illustrated by residual stress measurement in a drinking glass.

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Acknowledgements

Support of the Estonian Science Foundation (grant no. 6881) is gratefully acknowledged. The authors thank Jelena Sanko for consultations concerning the differential evolution method.

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Authors and Affiliations

  1. Institute of Cybernetics, Tallinn University of Technology, 21 Akadeemia tee, 12618, Tallinn, Estonia

    H. Aben (SEM member) & A. Errapart

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  1. H. Aben
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  2. A. Errapart
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Correspondence to H. Aben.

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Aben, H., Errapart, A. A Non-linear Algorithm of Photoelastic Tomography for the Axisymmetric Problem. Exp Mech 47, 821–830 (2007). https://doi.org/10.1007/s11340-007-9057-5

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