In the past automated photoelasticity has been demonstrated to be one of the most efficient technique for determining the complete state of stress in a 3-D component. However, the measurement accuracy, which depends on many aspects of both the theoretical foundations and experimental procedures, has not been studied properly. The objective of this thesis is to reveal the intrinsic properties of the errors, provide methods for reducing them and finally improve the system accuracy.
A general formulation for a polariscope with all the optical elements in an arbitrary orientation was deduced using the method of Mueller Matrices. The deduction of this formulation indicates an inherent connectivity among the optical elements and gives a knowledge of the errors. In addition, this formulation also shows a common foundation among the photoelastic techniques, consequently, these techniques share many common error sources.
The phase-stepping system proposed by Patterson and Wang was used as an examplar to analyse the errors and provide the proposed improvements. This system can be divided into four parts according to their function, namely the optical system, light source, image acquisition equipment and image analysis software. All the possible error sources were investigated separately and the methods for reducing the influence of the errors and improving the system accuracy are presented.
To identify the contribution of each possible error to the final system output, a model was used to simulate the errors and analyse their consequences. Therefore the contribution to the results from different error sources can be estimated quantitatively and finally the accuracy of the systems can be improved.
For a conventional polariscope, the system accuracy can be as high as 99.23% for the fringe order and the error less than 5 degrees for the isoclinic angle. The PSIOS system is limited to the low fringe orders. For a fringe order of less than l.5, the accuracy is 94.60% for fringe orders and the error about 6 degrees for the isoclinic angle if the undefined zones are ignored.