Abstract— The wear of cutting tools is one of the main current problems, especially when it comes to new materials called "difficult to machine" or with high added value. Tool wear is caused by extreme thermomechanical loads applied to the contact areas of tool chips and tool parts. During milling, turning or drilling operations, for example, large deformations, high deformation rates and high temperatures can be observed near the surface of the cutting tool. The objective of our work is to respond to the problem of abrasion wear by developing a predictive tool, based on knowledge of the physical and tribological mechanisms of workpiece-tool contacts, allowing us to quantitatively estimate the wear of the tool and its service life. To achieve this, we base our approach on previous studies carried out in the field of machining and metalworking. The modeling work was first applied to the wear case, then extended to the study of the crater wear occurring on the cutting face. By taking into account the mechanical load applied and the geometry of the contacts involved (plane-plane contacts), we have developed a two- dimensional approach in orthogonal cut configuration. Keywords— Wear, thermomechanical, cutting speed, ships, tools, Damage, temperature, conditions. I. INTRODUCTION here are several modes of wear which can occur simultaneously, mechanical wear (abrasion and adhesion), thermomechanical wear (fatigue), thermochemical wear (diffusion), electrochemical wear (oxidation). The increase in Cutting speed results in a decrease in adhesion wear, while all other types of wear increase. Kato and Adachi [1] have summarized the interrelationships of certain terms of usury depending on the type of contact, the state of deformation and the principles of material removal. According to Childs et al. [47], the degradation of cutting tools can be classified into two groups according to the scale of the study and the way in which the damage progresses: (i) - wear and (ii) - breakage at Fig (1). Grzesik [2] defined wear as a continuous phenomenon manifested by a loss of mass on the microscopic scale as is the case for diffusion, and / or on the scale of roughness or micro- switches. On the other hand, and always according to Grzesik [48], the rupture of the cutting tools is a brutal damage and observable on a macroscopic scale. As illustrated on Fig (1), the wear of the cutting tools occurs mainly on: - the cutting face of the tool where there is the formation of a crater Fig ( 1 a) and / or an added edge Fig (1c); - the draft face Fig (1b), close to the cutting edge and beak radius; these forms of degradation are the direct consequence of the interactions between the tool, the machined material, and the chip under the effect of high pressures, high temperatures and high sliding speed. They depend on the nature of the contact (sticky, Determination of a wear law for uncoated cutting tools M. Bourdim 1* , L. Zouambi 1 , M. Djilali Beida 1 , S. Kerrouz 1 1 Department of Mechanical Engineering, University of Relizane, Bormadia, 48000, Algeria T INTERNATIONAL JOURNAL OF SYSTEMS APPLICATIONS, ENGINEERING & DEVELOPMENT DOI: 10.46300/91015.2022.16.12 Volume 16, 2022 E-ISSN: 2074-1308 60