Identification of the shear-type displacement vector field and evaluation of its characteristics

Abstract

A problem of identification of a shear-type solid flow is considered. Characteristics of the shear flow are determined on the basis of the initial displacement vector field. An algorithm of formation of a finite-size model displacement field of the shear type is given. A functional is proposed to search for the amplitude and direction of the shear flow for each local area of the vector field. The influence of the size of this area and of the degree of its overlapping with the shear flow on the error of shear angle measurement is shown. The choice of the local area size is analyzed. Functional operation is demonstrated by an example of the displacement field obtained in the case of compressive loading of the Hadfield steel single crystal.