Experimental Mechanics
DOI 10.1007/s11340-016-0134-5
A Revisit to the Frozen Stress Phenomena in Photoelasticity
D. Swain
1
· J. Philip
1
· S.A. Pillai
1
· K. Ramesh
2
Received: 17 April 2015 / Accepted: 19 January 2016
© Society for Experimental Mechanics 2016
Abstract Stress freezing in photoelasticity is regularly
employed for 3-D elastic stress analysis of geometrically
complex models, wherein the models under load are soaked
at the stress freezing temperature and slowly cooled to room
temperature. During this process, a model may distort or
fail undergoing large deformations at the stress freezing
temperature owing to thermo-mechanical interactions. The
contribution of thermal deformation to the model distortions
is neglected in the available literature of stress freezing.
This aspect of stress freezing is investigated in this paper,
wherein Digital Image Correlation (DIC) is used to study
the strain behavior during a complete stress freezing cycle
for an epoxy made of CY230 resin cured with HY951 hard-
ener. The results show that the thermal contributions to
the model distortions at the critical temperature must be
taken care of to estimate the failure margins. The distor-
tions and failures would mainly depend upon the thermal
and mechanical response of the model material and the
complexity of the model.
Keywords Photoelasticity · 3-D Stress analysis ·
Stress freezing · Digital image correlation (DIC) ·
Thermal deformations · Model distortion and failure
K. Ramesh is a SEM Member
D. Swain
digendranath@gmail.com
1
Experimental Mechanics Division, Vikram Sarabhai
Space Center, Indian Space Research Organization,
Thiruvananthapuram, Kerala, 695 022, India
2
Department of Applied Mechanics, Indian Institute
of Technology Madras, Chennai, India
Introduction
Photoelasticity is one of the popular techniques for experi-
mental stress analysis. Stress analysis with two-dimensional
(2-D) models in photoelasticity is often sufficient for spec-
imen level and simple model studies. However, real life
mechanical components are more complex to carry out
stress analysis using simple 2-D models [1]. Hence, three-
dimensional (3-D) stress analysis is practised to measure
the stresses at interior critical locations of geometrically
complex models [2, 3]. With the advent of modern manufac-
turing capabilities such as rapid tooling, rapid prototyping,
and stereolithogrphy [4, 5] and digital photoelasticity [6], 3-
D stress analysis using photoelasticity would be an attractive
alternative to finite element analysis (FEA). Nevertheless,
photoelasticity is currently used as a valuable experimen-
tal tool to verify and validate critical and complex designs
wherein joints, tolerances and gaps have to be analyzed
accurately [7], which are otherwise difficult to handle with
analytical and computational techniques.
Three-dimensional stress analysis in photoelasticity uses
a unique technique of locking the birefringence and defor-
mations permanently into a model known as ‘frozen stress
technique’ [3, 8]. The models undergo a temperature cycle
to achieve this, wherein the models under the desired loads
are heated to and soaked at the stress freezing temperature,
then slowly cooled to the room temperature to avoid ther-
mal quenching. Subsequently the models are unloaded at the
room temperature. After stress freezing, the desired slices
are sawed out and interrogated in a polariscope to measure
the stresses [9]. These stresses are known as model stresses,
which are then scaled up/down to find prototype stresses.
For such a scaling, the geometric deviations due to model
deformations during stress freezing must be minimal [8,
10]. Furthermore, the locked in deformations in the model