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Numerical Methods for the Photoelastic Technique using Phase Shifting

Published online by Cambridge University Press:  11 August 2015

C. A. Magalhaes ,
P. S. Neto ,
P. A. A. Magalhaes Jr.  and
C. S. de Barcellos
C. A. Magalhaes
Affiliation:
Coordenacoes das Engenharias, Centro Universitario Newton Paiva, Belo Horizonte, Brazil Departamento de Engenharia Mecanica, Pontifícia Universidade Católica de Minas Gerais, Belo Horizonte, Brazil
P. S. Neto
Affiliation:
Departamento de Engenharia Mecanica, Pontifícia Universidade Católica de Minas Gerais, Belo Horizonte, Brazil
P. A. A. Magalhaes Jr.*
Affiliation:
Departamento de Engenharia Mecanica, Pontifícia Universidade Católica de Minas Gerais, Belo Horizonte, Brazil
C. S. de Barcellos
Affiliation:
Departamento de Engenharia Mecanica, Univesidade Federal de Santa Catarina, Florianópolis, Brazil
*
* Corresponding author ([email protected])
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Abstract

The objective of this research is to find new equations for a novel phase-shifting method in digital photoelasticity. Some innovations are proposed. In terms of phase-shifting, only the analyzer is rotated, and the other equations are deduced by applying a new numerical technique instead of the usual algebraic techniques. This approach can be used to calculate a larger sequence of images. Each image represents a pattern and a measurement of the stresses present in the object. A reduction in the difference between the theoretical and experimental values of stresses was obtained by increasing the number of images in the equations for calculating phase. Every photographic image has errors and random noise, but the uncertainties due to these effects can be reduced with a larger number of observations.

Keywords

PhotoelasticityPhase shiftingNumerical methodsStress measurement
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 4 , August 2015 , pp. 355 - 367
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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