Dynamic quantitative visualization of transient shear stresses in solids

Abstract

To aid in shear strength analysis, a technique combined with a time-resolved imaging scheme to achieve direct dynamic quantitative visualization of the distribution and evolution of transient shear stresses in solids through one measurement is studied. By modulating the polarization state of the elliptically polarized light transmitted or reflected from the sample, this method requires only one measurement to achieve visualization. Mathematical models of the correlation between the variation of modulated light field and the shear stresses in the plane perpendicular to the optical axis are established based on the theory of mechanics and photoelasticity. The maximum shear stresses of any section are further derived. As an example, the distribution and evolution of shear stresses induced by an ultrasonic field have been quantitatively visualized by the technique. The visualization results are in fairly good agreement with the finite element simulation results. The simplicity and efficiency of this technique are embodied in the fact that one single measurement can directly obtain the distribution of shear stresses in solids, and the measurements of dynamic shear stresses can be conveniently realized through continuous monitoring.