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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2025, Volume 26, Issue 4, Pages 520–533 (Mi cheb1615)

HISTORY OF MATHEMATICS AND APPLICATIONS

Modeling of energy effects during laser microstructuring of carbon steel products

I. V. Minaeva, A. N. Chukanovb, D. V. Zhurbac, I. V. Golysheva, S. N. Kutepovb, D. S. Klementyevb, E. V. Tsoib

a LLC Scientific and Production Enterprise “TELAR” (Tula)
b Tula State Lev Tolstoy Pedagogical University (Tula)
c ITMO National Research University, ITMO University (Saint Petersburg)

Abstract: The article describes a technique for modeling the energy parameters of laser exposure in the COMSOL software environment (COMSOL Multiphysics PC), which makes it possible to optimize the microstructure and improve the physics-mechanical properties of the working surfaces of carbon steel parts without destroying the surface layer.
Based on theoretical concepts of the mechanisms of the main processes that determine the energy characteristics of laser radiation exposure, equations of the average energy density (energy dose) of laser radiation, the temperature of local heating in the center of the scanning spot of the treated surface, as well as the area of radiation coverage per unit time and the rate of radiation coverage sufficient to change the microstructure of carbon steel without destruction of the surface layer.
Based on their experimental testing, laser exposure modes (microstructuring) were developed, which made it possible to control the diffusion of carbon from the inner layers of the part to its working surfaces. The implementation of the developed modes made it possible to form the structure of the surface layer with a high carbon content and high hardness without melting due to the diffusion of carbon from the inner layers to the working surfaces of the products.
The research results served as the basis for the registration of a patent of the Russian Federation for a method of laser micromachining of steels (RU 2 840 325 C1).

Keywords: carbon steels, laser microstructuring, energy density, laser coating area, hardness, residual stresses.

UDC: 004.942:535.872:621.373.826

Received: 03.05.2025
Accepted: 17.10.2025

DOI: 10.22405/2226-8383-2025-26-4-520-533



© Steklov Math. Inst. of RAS, 2026