In this study, micro-machining of f.c.c single-crystal materials was investigated based on a hybrid modelling approach combining smoothed particle hydrodynamics and continuum finite element analysis. The numerical modelling was implemented in a commercial software ABAQUS/Explicit by employing a user-defined subroutine VUMAT for a crystal-plasticity formulation to gain insight into the underlying mechanisms that drive a plastic response of materials in highdeformation processes. The numerical studies demonstrate that cutting-force variations in different cutting directions are similar for different f.c.c. crystals even though the magnitudes of the cutting forces are different.