Implementation and application of the multiresolution continuum theory

The multiresolution continuum theory (MCT) is implemented in FEA with a bespoke user defined element and materials. A simple dog-bone model is used to validate the code and study the effect of microscale parameters. The ability of the method to simulate the propagation of a shear band in simple shear without mesh dependence is shown. The length scale parameter is demonstrated to influence shear band width. Finally, we present a simulation of serrated chip formation in metal cutting, a case where accurate prediction of shear band formation is critical. The advantages of MCT over conventional methods are discussed. This work helps elucidate the role of the length scale and microscale parameters in MCT, and is a demonstration of a practical engineering application of the method: the simulation of high speed cutting.