Young's modulus measurement of the radius bone using a shearing interferometer with carrier fringes

A technique for measuring Young's modulus of the radius bone by using electronic speckle-shearing pattern interferometry is proposed. The technique is based on the introduction of carrier fringes and the use of a phase unwrapping algorithm to obtain a phase map corresponding to the out-of-plane displacements of a radius bone without sign ambiguities. The carrier fringes are obtained by the correlation algorithm of two consecutive speckle fields with a translation of the illuminating beam between each recording, then the spatial synchronous detection (SSD), an unwrapping phase algorithm and integration process along shear direction are successfully applied for obtaining a displacement phase map. Next, analysis of the radius bone as a cantilever allows us to obtain Young's modulus. The study was performed with speckle interferometry and with the finite element method for comparing the results. Advantages and disadvantages of the proposed method are discussed.