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Thread milling is a method which is increasingly used for machining thread. Forthis operation, a helical interpolation is required. Furthermore, the thread mill is a toolwhose geometry is rather complex. Its envelope profile is linked to the thread profile anda single tooth of the thread mill is composed of three continuous cutting edges. Thepresent study proposes a geometrical model and an analytical formulation to define therake face and the cutting edge. Further, the calculations of cutting planes and cuttingangles are explained. The analysis shows specific aspects of thread mills, in particularthe fact that the flute angle may lead to a negative rake angle. This study is a contributionto cutting geometry aspect and constitutes a step for cutting force model in thread milling

Geometrical analysis of thread milling—part 1: evaluation of tool angles