3D modeling of strain fields and strain rate in the cutting area: application to milling

Given the complexity of the physical phenomena present in machining, orthogonal cutting is the configuration that has been most studied and modeled analytically. However, this configuration is no longer applicable if we consider the true orientations of the cutting edge found in the modeling space, for , during milling. Along the cutting edge, geometric and kinematic parameters vary considerably and the speed vector at each point is very sensitive to the true position of the point under consideration on the cutting edge. For each shear zone, the study proposed here looks at the effect of velocity gradients on the strain and strain rate fields. These velocity gradients generate extra chip displacement, in three dimensions, and consequently give rise to new force components and cutting moments. This study describes the overall calculation process, starting with a detailed description of each characteristic zone in the cutting area. By determining the speed vector and the displacement vector, strains and strain rates can be mapped for the entire volume of the cutting area when milling.