Abstract
An improved technique is described for graduation and analysis of data from quasi-steady state isochoric plane flow, where the data represent a mesh defined by streamlines and isochrones, equispaced in the stream function and time variable, respectively. The graduation technique is a combination of adjustment of the areas of the mesh elements, and spline smoothing of the isochrones and streamlines, with the degree of smoothing of the latter controlled by tolerance matrices derived from the data and an adjustable scalar parameter. The analysis comprises computation of the velocity and rate of deformation from the spline representations of the smoothed streamlines, and the effective strain as a line integral of the maximum shear strain rate. The technique is applied to data sets representing plane plastic flow of metals in extrusion, machining, etc., and the effect of varying the smoothing parameter is investigated. With omission of the area adjustment, the technique is also largely applicable to data for compressible flow or flow with axial symmetry.
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