Magnetophotoelasticity as parametric tensor field tomography

Abstract

A method of using a magnetopolariscope for reconstructing stress fields by means of the tomography technique is proposed. Stresses are determined within the framework of the Maxwell piezo-optic law (linear dependence of the permittivity tensor on stresses) and weak optical anisotropy. The path difference and isocline parameter values measured by the tomography technique in the presence and absence of a magnetic field are used as initial information. Up to now, the magnetopolariscope has been employed only to determine bending and membrane stresses in plane models. Their novel application allows us to determine the residual stress completely.