à Òåõíîëîãî-ãóìàí³òàðíèé óí³âåðñèòåò ³ì. Êàçèìèðà Ïóëàâñüêîãî â Ðàäîì³, ²íñòèòóò ìàøèíîáóäóâàííÿ, Ðàäîì, Ïîëüùà á Òåõíîëîã³÷íèé óí³âåðñèòåò AEåøóâà, Ôàêóëüòåò ìàøèíîáóäóâàííÿ òà àåðîíàâòèêè, AEåøóâ, Ïîëüùà Íàâåäåíî ìåòîäèêè âèçíà÷åííÿ ãëèáèíè ïëàñòè÷íî äåôîðìîâàíîãî âåðõíüîãî øàðó ìàòåð³àëó ïðè îáêî÷óâàíí³ ðîëèêîì. Àíàë³òè÷íèé ìåòîä ðîçðîáëåíî íà îñíîâ³ òåî𳿠Ãåðöà-Áåëÿºâà. Ãëèáèíó òàêîãî øàðó îòðèìàíî ÿê ôóíêö³þ çóñèëëÿ îáêî÷óâàííÿ, ì³öíîñò³ ìàòåð³àëó ³ ãåîìåò𳿠ðîëèêà. Àíàë³òè÷íèé ðîçâ'ÿçîê ïåðåâ³ðåíî îðèã³íàëüíèì ìåòîäîì, ùî áàçóºòüñÿ íà âèì³ðþâàíí³ ëèöüîâîãî ïðîô³ëþ ê³ëåöü. Ðîçðîáëåíî ìàòåìàòè÷íó ìîäåëü òåîðåòè÷íîãî ðîçâ'ÿçêó ³ ïëàí åêñïåðèìåíò³â. ×èñåëüíå ìîäåëþâàííÿ ãëèáèíè ïëàñòè÷íî äåôîðìîâàíîãî øàðó âèêîíàíî ìåòîäîì ñê³í÷åííèõ åëåìåíò³â. Ðåçóëüòàòè, îòðèìàí³ àíàë³òè÷íèì ³ åêñïåðèìåíòàëüíèì ìåòîäàìè, ïîêàçóþòü ¿õ õîðîøó â³äïîâ³äí³ñòü.Êëþ÷îâ³ ñëîâà: ãëèáèíà äåôîðìîâàíîãî øàðó, ïëàñòè÷íà äåôîðìàö³ÿ, ñê³í÷åííîåëåìåíòíèé ìåòîä, îáêî÷óâàííÿ ðîëèêîì.Introduction. Many material forming technologies such as burnishing, thread rolling, spline rolling, knurling, and drawing lead to both the deformation of the surface layer of the material and changes in its properties. This phenomenon introduces compressive stresses into the surface layer increasing its surface hardness, and both static and fatigue strength [1,2]. Under the pressure of the rounded tool, deformation not only occurs in the plastic forming processes, but also in turning, milling, grinding [3] or even laser surface treatment [4]. The deformation of the surface layer occurs during deep drawing of the thin sheet metal, where the complex stress state caused by the rounded tools leads to the change in friction conditions and loss of stability of the sheet material undergoing plastic tension [5,6]. The scale of plastic deformation in the above processes is smaller than in roller burnishing, but it is always possible to observe a plastically deformable surface layer. Plastic deformations of the metal surface can occur under relatively small forces, i.e. during measurements or assembly [7][8][9]. Roller burnishing causes strain hardening of the material and introduces compressive stresses into the surface layer that increase the hardness [10] and strength of the surface layer of the material [11]. In order to obtain greater depths of the