Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren

Stress fields affect various characteristics of materials. However, measurement methods for three-dimensional stress fields tend to be complicated because stress tensors generally consist of six independent components. We therefore propose a simple method for measuring axisymmetric three-dimensional...

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Autores principales:	Kiminori TOYA, Hiroshi OHNO
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2019
Materias:	nondestructive evaluation stress measurement contact background-oriented schlieren solid mechanics Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/cc924e63466e441f8e9f310abad622d9
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spelling	oai:doaj.org-article:cc924e63466e441f8e9f310abad622d92021-11-29T05:48:33ZMeasurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren2187-974510.1299/mej.19-00393https://doaj.org/article/cc924e63466e441f8e9f310abad622d92019-10-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/6/6/6_19-00393/_pdf/-char/enhttps://doaj.org/toc/2187-9745Stress fields affect various characteristics of materials. However, measurement methods for three-dimensional stress fields tend to be complicated because stress tensors generally consist of six independent components. We therefore propose a simple method for measuring axisymmetric three-dimensional stress fields by measuring deflection angles of light rays using the background-oriented schlieren technique. Assuming axial symmetry of the stress field, we use the Lagrangian optics to derive a relationship between two-dimensional deflection angle and three-dimensional stress. Using independent ray polarizations, the method can reconstruct the respective refractive indices from the deflection angle. Equilibrium equations for the stress tensor can be written under the assumption of axial symmetry. By applying appropriate approximations, we formulate normal and shear stress-tensor components, which enables reconstruction of these components from refractive indices. Stress-tensor components can be experimentally generated by applying a load to a glass plate surface on the basis of the Hertz contact theory. The proposed method reconstructs the stress-tensor components from a refractive index field that is induced by the stress in the glass. The reconstructed axial-stress tensor σzz and shear-stress tensor τrz well agree with numeric calculations using structural analysis software. Other stress-tensor components, however, slightly deviate from those of the numeric calculations.Kiminori TOYAHiroshi OHNOThe Japan Society of Mechanical Engineersarticlenondestructive evaluationstress measurementcontactbackground-oriented schlierensolid mechanicsMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 6, Iss 6, Pp 19-00393-19-00393 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	nondestructive evaluation stress measurement contact background-oriented schlieren solid mechanics Mechanical engineering and machinery TJ1-1570
spellingShingle	nondestructive evaluation stress measurement contact background-oriented schlieren solid mechanics Mechanical engineering and machinery TJ1-1570 Kiminori TOYA Hiroshi OHNO Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren
description	Stress fields affect various characteristics of materials. However, measurement methods for three-dimensional stress fields tend to be complicated because stress tensors generally consist of six independent components. We therefore propose a simple method for measuring axisymmetric three-dimensional stress fields by measuring deflection angles of light rays using the background-oriented schlieren technique. Assuming axial symmetry of the stress field, we use the Lagrangian optics to derive a relationship between two-dimensional deflection angle and three-dimensional stress. Using independent ray polarizations, the method can reconstruct the respective refractive indices from the deflection angle. Equilibrium equations for the stress tensor can be written under the assumption of axial symmetry. By applying appropriate approximations, we formulate normal and shear stress-tensor components, which enables reconstruction of these components from refractive indices. Stress-tensor components can be experimentally generated by applying a load to a glass plate surface on the basis of the Hertz contact theory. The proposed method reconstructs the stress-tensor components from a refractive index field that is induced by the stress in the glass. The reconstructed axial-stress tensor σzz and shear-stress tensor τrz well agree with numeric calculations using structural analysis software. Other stress-tensor components, however, slightly deviate from those of the numeric calculations.
format	article
author	Kiminori TOYA Hiroshi OHNO
author_facet	Kiminori TOYA Hiroshi OHNO
author_sort	Kiminori TOYA
title	Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren
title_short	Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren
title_full	Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren
title_fullStr	Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren
title_full_unstemmed	Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren
title_sort	measurement method for axisymmetric 3d stress-tensor fields using background-oriented schlieren
publisher	The Japan Society of Mechanical Engineers
publishDate	2019
url	https://doaj.org/article/cc924e63466e441f8e9f310abad622d9
work_keys_str_mv	AT kiminoritoya measurementmethodforaxisymmetric3dstresstensorfieldsusingbackgroundorientedschlieren AT hiroshiohno measurementmethodforaxisymmetric3dstresstensorfieldsusingbackgroundorientedschlieren
_version_	1718407612040478720

Measurement method for axisymmetric 3D stress-tensor fields using background-oriented schlieren

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