Determination of the parameters of two-beam laser splitting of silicate glasses using regression and neural network models
Abstract
The current work takes the results of the numerical experiment implemented in the Ansys finite element analysis program to create the neural network and regression models of two-beam laser splitting of silicate glasses. The regression models of two-beam laser glass cutting have been obtained in the DesignXplorer module of Ansys Workbench using a face-centered version of the central composite design. The processing speed, the parameters of laser beams, the glass plate thickness, and the distance between the laser radiation and the refrigerant affected zones were used as variable factors. The maximum temperatures and thermoelastic tensile stresses in the laser processing area were used as responses. The artificial neural networks have been constructed and trained using the TensorFlow package. The results of determining the maximum temperatures and thermoelastic stresses in the laser treatment area using the neural network and regression models have been compared.
References
- Lumley RM. Controlled separation of brittle materials using a laser. Journal of the American Ceramic Society. 1969;48(9):850–854.
- Machulka GA. Lazernaya obrabotka stekla [Laser processing of glass]. Moscow: Sovetskoe radio; 1979. 135 p. (Massovaya biblioteka inzhenera «Elektronika»). Russian.
- Bokut’ BV, Kondratenko VS, Myshkoeots VN, Serdyukov AN, Shalupaev SV. Termouprugie polya v tverdykh telakh pri ikh obrabotke lazernymi puchkami spetsial’noi geometrii [Thermoelastic fields in solids when they are being processed by special-geometry laser beams]. Minsk: Institut fiziki AN BSSR; 1987. 58 p. (Preprint. Institut fiziki AN BSSR; № 487). Russian.
- Kondratenko VS, inventor; PTG Precision Technology Center LLC, assignee. Method of splitting non-metallic materials. United States Patent US5609284A. 1997 March 11.
- Nisar S, Li L, Sheikh M. Laser glass cutting techniques – a review. Journal of Laser Applications. 2013;25(4):042010-1. DOI: 10.2351/1.4807895.
- Shalupaev SV, Shershnev EB, Nikityuk YuV, Sereda AA. Two-beam laser thermal cleavage of brittle nonmetallic materials. Journal of Optical Technology. 2006;73(5):356–359. DOI: 10.1364/JOT.73.000356.
- Sysoev VK, Vyatlev PA, Chirkov AV, Grozin VA, Konyashchenko DA. Two laser thermo splitting of glass elements for spacecraft conception. Vestnik NPO imeni S. A. Lavochkina. 2011;1:38–44. Russian.
- Junke Jiao, Xinbing Wang. Cutting glass substrates with dual-laser beams. Optics and Lasers in Engineering. 2009;47(7–8):860–864. DOI: 10.1016/j.optlaseng.2008.12.009.
- Golovko VA, Krasnoproshin VV. Neirosetevye tekhnologii obrabotki dannykh [Neural network technologies for data processing]. Minsk: Belarusian State University; 2017. 263 p. (Klassicheskoe universitetskoe izdanie). Russian.
- Chollet F. Deep learning with Python. Shelter Island: Manning Publications Co.; 2018. 384 p.
- Bakhtiyari AN, Zhiwen Wang, Liyong Wang, Hongyu Zheng. A review on applications of artificial intelligence in modeling and optimization of laser beam machining. Optics & Laser Technology. 2021;135:1–18. DOI: 10.1016/j.optlastec.2020.106721.
- Bessmel’tsev VP, Bulushev ED. [Optimisation of laser microprocessing modes]. Avtometriya. 2014;50(6):3–21. Russian.
- Rusia S, Pathak KK. Application of artificial neural network for analysis of triangular plate with hole considering different geometrical and loading parameters. Open Journal of Civil Engineering. 2016;6(1):31–41. DOI: 10.4236/ojce.2016.61004.
- Kant R, Joshi SN, Dixit US. An integrated FEM-ANN model for laser bending process with inverse estimation of absorptivity. Mechanics of Advanced Materials and Modern Processes. 2015;1:6. DOI: 10.1186/s40759-015-0006-1.
- Kadri MB, Nisar S, Khan SZ, Khan WA. Comparison of ANN and finite element model for the prediction of thermal stresses in diode laser cutting of float glass. Optik – International Journal for Light and Electron Optics. 2015;126(19):1959–1964. DOI: 10.1016/j.ijleo.2015.05.033.
- Nikitjuk YV, Serdyukov AN, Prohorenko VА, Aushev IY. Application of artificial neural networks and finite element method for determining the parameters of elliptic laser beam treatment of quartz sol-gel glasses. Problems of Physics, Mathematics and Technology. 2021;3:30–36. Russian. DOI: 10.54341/20778708_2021_3_48_30.
- Krasnoshchekov AA, Sobol’ BV, Solovjev AN, Cherpakov AV. Identification of crack-like defects in elastic structural elements on the basis of evolution algorithms. Russian Journal of Nondestructive Testing. 2011;47(6):412–419. DOI: 10.1134/S1061830911060088.
- Htet Aung Lin, Taksants МV, Misurov АI. Mathematical model of the efficiency of using laser radiation in hybrid processing. Herald of the Bauman Moscow State Technical University. Series: Mechanical Engineering. 2015;3:71–79. Russian. DOI: 10.18698/0236-3941-2015-3-71-79.
- Gvozdev AE, Golyshev IV, Minaev IV, Sergeev NN, Tikhonova IV, Khonelidze DM, et al. Multiparametric optimization of laser cutting of steel sheets. Inorganic Materials: Applied Research. 2015;6(4):305–310. DOI: 10.1134/S2075113315040115.
- Madić M, Radovanović M. Comparative modeling of CO2 laser cutting using multiple regression analysis and artificial neural network. International Journal of Physical Sciences. 2012;7(16):2422–2430. DOI: 10.5897/IJPS12.109.
- Zhogal’ SP, Zhogal’ SI, Maksimei VI. Osnovy regressionnogo analiza i planirovaniya eksperimenta [Fundamentals of regression analysis and experiment design]. Gomel: Francisk Skorina Gomel State University; 1997. 94 p. Russian.
- Morgunov AP, Revina IV. Planirovanie i analiz rezul’tatov eksperimenta [Planning and analysis of the results of the experiment]. Omsk: Izdatel’stvo OmGTU; 2014. 344 p. Russian.
Copyright (c) 2022 Journal of the Belarusian State University. Physics

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)