SPATIAL POSITION OF A CONVENTIONAL SHEAR PLANE IN TREATMENT BY CUTTING

摘要

The technique of a numerical experiment that allows prediction of the position in space of the main heat-liberation source in treatment of materials by cutting is presented. It is assumed that heat liberation in cutting takes place mainly in the zone of the largest plastic deformations, in the so-called shear plane [1]. Therefore, determination of its position in space is an urgent problem. Usually the problem mentioned is reduced to determination of the angle of slope β of the conventional shear plane N-N to the velocity of the main motion of cutting v (Fig. 1) and is solved by most authors either experimentally [2] or by the methods of similarity theory [3] or using variation principles [4]. Each of the methods mentioned has its own advantages and disadvantages, which are widely known. The suggested technique of determination of the position of the conventional shear plane is based on numerical simulation by the finite-element method [5].