Development of hybrid method coupling moire interferometry and finite element analysis

Abstract

A hybrid method of stress analysis coupling moire interferometry and finite element analysis to solve two-dimensional elasticity problems is proposed. This method has the advantage of reliability of experimental measurement and fastness of data reduction using the finite element method. In this method, the moire fringe patterns of u and v displacements are superimposed to form the optimal mesh pattern, ensuring the required density and grading of mesh. The u and v displacements obtained from moire fringe patterns are specified at the nodes to achieve reliability of results. The concept and mathematical formulation of the hybrid method are shown. The effectiveness of the method is tested on a problem of a disk under diametrical compression, resulting in a theoretical solution. A comparison of results indicates that the mesh formed by the hybrid method and analyzed by an eight-noded isoparametric element provides accurate results and the same is also verified with simulated moire fringes of another example of cantilever beam.