American Journal of Mechanical Engineering, 2014, Vol. 2, No. 7, 239-243
Available online at http://pubs.sciepub.com/ajme/2/7/13
© Science and Education Publishing
DOI:10.12691/ajme-2-7-13
Characteristic Entities in PhotoStress Method
Peter Frankovský
1,*
, František Trebuňa
2
, Ján Kostka
2
, František Šimčák
2
, Oskar Ostertag
2
, Władysław Papacz
3
1
Department of Mechatronics, Faculty of Mechanical Engineering, Technical University of Košice, Košice, Slovakia
2
Department of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Technical University of Košice, Košice,
Slovakia
3
Instytut Budowy i Eksploatacji Maszyn, Uniwersytet Zielonogórski, Zielona Góra, Poland
*Corresponding author: peter.frankovsky@tuke.sk
Received September 15, 2014; Revised October 01, 2014; Accepted October 30, 2014
Abstract The presented paper describes characteristic entities in PhotoStress method - isoclinic fringes, singular
points, isostatic lines, and isochromatic fringes. These entities are used in PhotoStress method to visualise and
quantify deformation and stress fields of various photoelastically coated structural elements.
Keywords: isoclinic fringes, singular points, isostatic lines, isochromatic fringes
Cite This Article: Peter Frankovský, František Trebuňa, Ján Kostka, František Šimčák, Oskar Ostertag, and
Władysław Papacz, “Characteristic Entities in PhotoStress Method.” American Journal of Mechanical
Engineering, vol. 2, no. 7 (2014): 239-243. doi: 10.12691/ajme-2-7-13.
1. Introduction
Reflection photoelasticity or PhotoStress method is an
experimental method of mechanics which allows
quantitative as well as qualitative analysis of directions
and magnitudes of principal strains or principal normal
stresses on a variety of structural elements.
Being universal, this method can be used in a variety of
engineering applications such as structural analysis of
engines, analysis of architectural structure solutions,
development of prosthetic implants, development of
structural components of planes, machines etc.
A photoelastic coating is used for the evaluation of
deformation. This coating is applied with a special two-
component adhesive on the analysed surface of the object
under examination. When the object, which is subjected to
loads, is illuminated with light from the reflection
polariscope, it is possible to view isoclinic or isochromatic
fringes, based on the polariscope settings.
For the purposes of a quantitative evaluation it is
necessary to be familiar with parameters of isoclinic and
isochromatic fringes in points of measurements. This
paper presents the procedure of obtaining individual
photoelastic entities, as well as a description of these
entities.
2. Isoclinic Fringes
Isoclinic fringes (Figure 1) are defined as geometrical
points in which directions of principal normal stresses are
parallel to intersected polarisation planes of the polariser
and the analyser. They occur at plane-polarised white light.
Isoclinic fringes of a particular angle parameter α are
related to a chosen direction of intersected polarisation
planes of the polariser and the analyser, which is given by
angle α or /2 α π + [1,2].
The creation of isoclines with regards to angle
parameter α is a periodical phenomenon with period
/2 π . With synchronous rotation of the polariser and the
analyser, isoclinic fringes continuously change from the
isoclines of angle parameter 0 α = ° up to angle parameter
90 α = ° in line with rotation angle of the polariser and the
analyser.
Figure 1. Isoclinic fringes
The creation of isoclines with regards to angle
parameter α is a periodical phenomenon with period
/2 π . With synchronous rotation of the polariser and the
analyser, isoclinic fringes continuously change from the
isoclines of angle parameter 0 α = ° up to angle parameter
90 α = ° in line with rotation angle of the polariser and the
analyser. They are distributed along whole analysed
surface of the object under examination simultaneously
according to the changes in directions of principal normal
stresses. The isoclinic fringe runs through every point of