Fiber Bragg grating (FBG) sensors are being considered for health and conditionmonitoring of composite structures, where they may be embedded inside thematerial during the fabrication process. So far, research efforts have been directedtowards reconstruction of the strain tensor inside the material at the position of theFBG, using FBGs in polarization-maintaining fibers. However, the influence ofshear strains on the signals reflected from the FBG has hindered attempts toaccurately reconstruct the strain tensors. In this work, we employ a theoreticaldescription of FBGs which also describes the influence of shear strain. We proposean algorithm which, based on this underlying theory, allows for reconstructingthe principal strains, as well as the shear strain components. Further, we testthe algorithm on simulation data with noise levels comparable to those found inreal applications. Finally, we demonstrate the feasibility of the algorithm and itslimitations.
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