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A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography
The elastic properties of materials, either under external load or in a relaxed state, influence their mechanical behaviour. Conventional optical approaches based on techniques such as photoelasticity or thermoelasticity can be used for full-field analysis of the stress distribution within a specime...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4973287/ https://www.ncbi.nlm.nih.gov/pubmed/27488605 http://dx.doi.org/10.1038/srep30541 |
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author | Anthony, Nicholas Cadenazzi, Guido Kirkwood, Henry Huwald, Eric Nugent, Keith Abbey, Brian |
author_facet | Anthony, Nicholas Cadenazzi, Guido Kirkwood, Henry Huwald, Eric Nugent, Keith Abbey, Brian |
author_sort | Anthony, Nicholas |
collection | PubMed |
description | The elastic properties of materials, either under external load or in a relaxed state, influence their mechanical behaviour. Conventional optical approaches based on techniques such as photoelasticity or thermoelasticity can be used for full-field analysis of the stress distribution within a specimen. The circular polariscope in combination with holographic photoelasticity allows the sum and difference of principal stress components to be determined by exploiting the temporary birefringent properties of materials under load. Phase stepping and interferometric techniques have been proposed as a method for separating the in-plane stress components in two-dimensional photoelasticity experiments. In this paper we describe and demonstrate an alternative approach based on photoelastic ptychography which is able to obtain quantitative stress information from far fewer measurements than is required for interferometric based approaches. The complex light intensity equations based on Jones calculus for this setup are derived. We then apply this approach to the problem of a disc under diametrical compression. The experimental results are validated against the analytical solution derived by Hertz for the theoretical displacement fields for an elastic disc subject to point loading. |
format | Online Article Text |
id | pubmed-4973287 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-49732872016-08-12 A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography Anthony, Nicholas Cadenazzi, Guido Kirkwood, Henry Huwald, Eric Nugent, Keith Abbey, Brian Sci Rep Article The elastic properties of materials, either under external load or in a relaxed state, influence their mechanical behaviour. Conventional optical approaches based on techniques such as photoelasticity or thermoelasticity can be used for full-field analysis of the stress distribution within a specimen. The circular polariscope in combination with holographic photoelasticity allows the sum and difference of principal stress components to be determined by exploiting the temporary birefringent properties of materials under load. Phase stepping and interferometric techniques have been proposed as a method for separating the in-plane stress components in two-dimensional photoelasticity experiments. In this paper we describe and demonstrate an alternative approach based on photoelastic ptychography which is able to obtain quantitative stress information from far fewer measurements than is required for interferometric based approaches. The complex light intensity equations based on Jones calculus for this setup are derived. We then apply this approach to the problem of a disc under diametrical compression. The experimental results are validated against the analytical solution derived by Hertz for the theoretical displacement fields for an elastic disc subject to point loading. Nature Publishing Group 2016-08-04 /pmc/articles/PMC4973287/ /pubmed/27488605 http://dx.doi.org/10.1038/srep30541 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Anthony, Nicholas Cadenazzi, Guido Kirkwood, Henry Huwald, Eric Nugent, Keith Abbey, Brian A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography |
title | A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography |
title_full | A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography |
title_fullStr | A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography |
title_full_unstemmed | A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography |
title_short | A Direct Approach to In-Plane Stress Separation using Photoelastic Ptychography |
title_sort | direct approach to in-plane stress separation using photoelastic ptychography |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4973287/ https://www.ncbi.nlm.nih.gov/pubmed/27488605 http://dx.doi.org/10.1038/srep30541 |
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