Optical tomography of the stress tensor field

Hillar K. Aben; Siim J. Idnurm; Juri Josepson; Kalle-Juri E. Kell; Alfred E. Puro

doi:10.1117/12.131894

3 November 1992 Optical tomography of the stress tensor field

Hillar K. Aben, Siim J. Idnurm, Juri Josepson, Kalle-Juri E. Kell, Alfred E. Puro

Proceedings Volume 1843, Analytical Methods for Optical Tomography; (1992) https://doi.org/10.1117/12.131894
Event: Analytical Methods for Optical Tomography, 1991, Zvenigorod, Russian Federation

Abstract

Integrated photoelasticity, a nondestructive method of three-dimensional stress analysis, is treated as optical tomography of the stress tensor field. Distinguishing features of the optical tensor field tomography are considered. Since in the general case the measurement data is in a nonlinear way related to the stress field, two particular cases are considered in detail: (1) weak birefringence, (2) constant principal stress directions. In these cases it is possible to measure two line integrals of the components of the stress tensor. It is shown that the general problem of stress tensor field tomography can be reduced to a problem of scalar field tomography for a single component of the stress tensor. The other stress components can in some cases be determined using equations of the theory of elasticity. The paper is illustrated by some examples of application of the method.

Citation Download Citation

Hillar K. Aben, Siim J. Idnurm, Juri Josepson, Kalle-Juri E. Kell, and Alfred E. Puro "Optical tomography of the stress tensor field", Proc. SPIE 1843, Analytical Methods for Optical Tomography, (3 November 1992); https://doi.org/10.1117/12.131894

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