A new nondestructive method for three-dimensional photoelasticity

Srinath, L. S.; Bhave, S.K.

doi:10.1007/bf02323563

Cited by 22 publications

(4 citation statements)

References 3 publications

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“…Schmid et al [6] applied the Jones matrix method, the exact method for the birefringence calculation, to the thermally induced birefringence in Nd: Yag crystal laser rods. In the first part of the present paper, we clarify the relation between the approximate method for birefringence calculation and the Jones matrix method in anisotropic materials, because such relation is only clarified for isotropic materials [7]. Then we performed the birefringence analysis of the CaF2 single crystal after annealing.…”

Section: Introductionmentioning

confidence: 99%

Birefringence Simulation of Annealed Ingot of Calcium Fluoride Single Crystal

Ogino

Miyazaki

Mabuchi

et al. 2006

2006 International Conference on Electronic Materials and Packaging

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We developed a method for simulating birefringence of an annealed ingot of calcium fluoride single crystal caused by the residual stress after annealing process. The method comprises the heat conduction analysis that provides the temperature distribution during the ingot annealing, the elastic thermal stress analysis using the assumption of the stress-free temperature that provides the residual stress after annealing, and the birefringence analysis of an annealed ingot induced by the residual stress. The finite element method was applied to the heat conduction analysis and the elastic thermal stress analysis. In these analyses, the temperature dependence of material properties and the crystal anisotropy were taken into account. In the birefringence analysis, the photoelastic effect gives the change of refractive indices, from which the optical path difference in the annealed ingot is calculated by Jones calculus. An approximate method for calculating the optical path difference using the average stress along the wave normal is also proposed and the relation between the Jones calculus and the approximate method is discussed. It is found that the result of the approximate method agrees very well with that of the Jones calculus. The distribution of the optical path difference in the annealed ingot obtained from the present calculation agrees reasonably well with that of the experiment. Its calculated value also agrees reasonably well with that of the experiment, when a stress-free temperature is adequately selected.

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Section: Introductionmentioning

confidence: 99%

Birefringence Simulation of Annealed Ingot of Calcium Fluoride Single Crystal

Ogino

Miyazaki

Mabuchi

et al. 2006

2006 International Conference on Electronic Materials and Packaging

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“…Srinath and Bhave (1974) have approximated stress distribution with polynomial or other convenient series and considered identification of constants in the assumed series. The major drawback of this method is that selection of a suitable series for modeling stress distributions along each light ray is not practical except for a few simple cases.…”

Section: Article In Pressmentioning

confidence: 99%

“…The 3D stress field tomography is one of such with wide range of applications in industry and academia (Aben et al, 2000;Schupp, 1999;Hammer and Lionheart, 2005). For tomographic reconstruction of stress fields, 3D photoelasticity is the most popular approach and has been paid much attention (Srinath and Bhave, 1974;Doyle and Danyluk, 1978;Aben et al, 1989;Schupp, 1999;Aben et al, 2000;Hammer and Lionheart, 2005). However, the inverse problem of 3D photoelasticity has not ARTICLE IN PRESS www.elsevier.com/locate/jmps 0022-5096/$ -see front matter r 2007 Elsevier Ltd. All rights reserved.…”

Section: Introductionmentioning

confidence: 99%

Stress field tomography based on 3D photoelasticity

Wijerathne

Oguni

Hori

2008

Journal of the Mechanics and Physics of Solids

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“…Schmid et al [6] applied the Jones calculus, the exact method for the birefringence calculation, to the thermally induced birefringence in Nd: Yag crystal laser rods. In the first part of the present paper together with Appendix A, we clarify the relation between the approximate method for birefringence calculation and the Jones calculus in anisotropic materials, because such relation is only clarified for isotropic materials [7]. Then we performed the birefringence analysis of the CaF 2 single crystal after annealing.…”

Section: Introductionmentioning

confidence: 98%