The machining process of multi-layer composites made of Carbon Fiber Reinforced Polymer (CFRP) generatesmainly four damage modes in the workpiece: matrix cracking, debonding at the fiber-matrix interface, fiber rupture and interlaminar delamination. The damage modes mentioned above have been predicted through a user routine “VUMAT”, whichprovides the ability to implement,in Abaqus/Explicit, a combined elastoplasticdamage behavior law for progressive failure.The proposed approach is primarily focused on the understanding of interactions between the fiber orientation and the physical phenomena governing the chip formation and the induced damage process.