One of the most important problems in cutting theory is modelling behaviour of cut material accompanied by significant plastic deformations. Determination the chip patterns formation allows to build a theory of entire complex of processes and phenomena occurring in cutting zone. Various schemes, methods and types of processing define a wide variety of implementation schemes with a wide range of orientation cutting edge relative to velocity vector of main working movement. In this regard, it becomes necessary to analyse basic schemes of metal flow around plate. Combination of various schemes can be used to obtain any processing scheme using the principle of superposition. Before, we have developed a new method constructing velocity fields, which is devoid of drawbacks and contradictions of other methods determining the displacements velocity fields. Thus, it becomes necessary to obtain particle velocity fields for basic schemes using the hyperbola method.