Inverse method to determine elastic constants using a circular disk and moire interferometry

We propose an inverse method, using a circular disk in diametrical compression, for the simultaneous determination of two elastic constants, E and v, from a single displacement map. Moire interferometry combined with the phase-shifting technique provides a full-field displacement field. An overdeterministic approach using the least-squares method is implemented to fit the experimentally determined displacements to the theoretical solution. An implementation guideline is provided, considering the effects of accidental rigid-body motions, random noise and imperfect position of the origin. Accuracy and repeatability of the proposed method are verified experimentally.