★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★Open research. Global perspectives.
editor@theamericanjournals.com Publisher Home ↗
Engineering and Technology OPEN ACCESS

Mathematical Modeling of The Machining Process of White Cast Iron

A.Allanazarov
Associate Professor, Termez Institute of Engineering and Agrotechnologies, Termiz, Uzbekistan
A.X.Axmedov
Head of Department, Doctor of Technical Sciences, Professor, Tashkent State Technical University named after Islam Karimov, Uzbekistan
DOI Crossref DOI 10.37547/tajet/Volume08Issue04-07
tajet 2026
VOL. 8 / NO. 4 APRIL
FULL TEXT PP. 87-92
PDF

View all articles in this issue ↗

VOLUME 8
ISSUE 4
YEAR 2026
PAGES 87-92
RESEARCH OVERVIEW

Abstract

This paper presents a mathematical model in the form of complex differential equations describing the mechanical cutting of white cast irons. Heat conduction PDE, similarity criteria theory (Peclet, F, D), and mechanical cutting theory were applied. A system of six interrelated equations was developed covering geometry, temperature, forces, plasticity, wear, and heat balance. Conclusion: The model enables justification of tool material requirements for machining white cast irons.

RESEARCH TOPICS

Keywords

White cast iron mechanical machining mathematical model

Downloads

Download data is not yet available.
SOURCES & SCHOLARSHIP

References

  1. Urtekin L., Sahin I.B., Yilan F. et al. Investigation and Optimization of Cutting Performance of High Chrome White Cast Iron by Wire Erosion // Arabian Journal for Science and Engineering. — 2024. — Vol. 49. — P. 1585–1596. DOI: 10.1007/s13369-023-07930-6
  2. Nelwalani B.N., van der Merwe J., Munyangane V. et al. On the influence of compositional variations in high chrome cast iron: an assessment of microstructure and mechanical behaviour // Manufacturing Review. — 2024. — Vol. 11. — P. 9. DOI: 10.1051/mfreview/2024001
  3. Hao G., Liu Z. The heat partition into cutting tool at tool-chip contact interface during cutting process: a review // The International Journal of Advanced Manufacturing Technology. — 2020. — Vol. 108. — P. 393–411. DOI: 10.1007/s00170-020-05404-9
  4. Suresh R., Basavarajappa S., Samuel G.L. Some studies on hard turning of AISI 4340 steel using multilayer coated carbide tool // Measurement. — 2012. — Vol. 45, № 7. — P. 1872–1884. DOI: 10.1016/j.measurement.2012.03.024
  5. Chinchanikar S., Choudhury S.K. Predictive modeling for flank wear progression of coated carbide tool in turning hardened steel under practical machining conditions // The International Journal of Advanced Manufacturing Technology. — 2015. — Vol. 76. — P. 1185–1201. DOI: 10.1007/s00170-014-6285-6
  6. Rosa S.D.N., Diniz A.E., Andrade C.L.F. et al. Analysis of tool wear, surface roughness and cutting power in the turning process of compact graphite irons // Journal of the Brazilian Society of Mechanical Sciences and Engineering. — 2010. — Vol. 32, № 3. — P. 234–240. DOI: 10.1590/S1678-58782010000300010
  7. Zhu K. Modeling of the Machining Process // Smart Machining Systems. Springer Series in Advanced Manufacturing. — Cham: Springer, 2022. — P. 25–68. DOI: 10.1007/978-3-030-87878-8_2
  8. Soori M. et al. Cutting tool wear prediction in machining operations, a review // Journal of New Technology and Materials. — 2022. — Vol. 12, № 1. — P. 1–19.
  9. Grzesik W. Advanced Machining Processes of Metallic Materials: Theory, Modelling and Applications. — 2nd ed. — Amsterdam: Elsevier, 2017. — 606 p.