MODELING THE IMPACT OF DEFECTS IN FERROMAGNETIC PRODUCTS ON THE QUALITY OF PROCESSING IN FINISHING OPERATIONS

Authors

DOI:

https://doi.org/10.32782/mathematical-modelling/2025-8-1-22

Keywords:

inherited defect, crack formation, finishing operation, ferromagnetic modeling, analytical dependencies

Abstract

To ensure the quality of processed surfaces, it is necessary, based on the functional relationships between the physical and mechanical properties of materials and parameters during finishing operations, to select machining conditions and tool characteristics such that the current grinding temperature values T (x, y, τ), thermal flux q (y, τ), maximum stresses σp max, grinding forces PY, PZ, and intensity coefficient K1 (S, α, σmax) do not exceed their specific values. These values should consider defects of certain geometric dimensions located in the surface layer, having an inherited nature, thus ensuring the required quality of the product’s working surfaces. This study addresses the mathematical formulation of the problem of detecting defects in ferromagnetic components resulting from previous operations during their magnetization. Mathematical expressions were derived to assess the geometric shape and depth of defect placement within the surface of a component based on measurements of magnetic induction distribution on its surface. The mechanism of technological crack formation during finishing operations on surfaces of ferro ceramic materials is considered from the viewpoint of the “weakest link” hypothesis, defined as an inherited defect whose size serves as a criterion for defect-free processing. Analytical conditions for preventing structural defects from developing into main cracks were established. These conditions depend on fracture toughness, physical and mechanical characteristics, and the contact temperature TK during processing, determined by operational parameters. As a result of the research informational support was developed for technological capabilities to achieve defect-free processing of products made from materials prone to cracking.This support involves establishing calculation dependencies to determine the influence of inherited defects formed during previous operations on the crack resistance of the surface layer during finishing operations. It includes technological processing conditions that account for accumulated damages and inhomogeneities in the surface layer of parts made from materials and alloys particularly susceptible to crack formation. This development holds significant economic importance by reducing defects in finishing operations and enhancing the operational properties of machine parts.

References

Фрайден Дж. Сучасні датчики : довідник. Київ : Техносфера, 2005. 589 с.

Ксюнин А.Г., Свеколкін Ф.Л. Розрахунок поля дефекту сталевої стрічки за її поздовжнього намагнічування. Електромеханіка. 1979. № 7. С. 573–576.

Троїцький В.А., Радько В.П., Демидко В.Г. Дефекти зварювальних з’єднань і методи їх виявлення. Київ : Вища школа, 1983. 144 с.

Корн Г., Корн Т. Довідник з математики для наукових робітників та інженерів. Київ : Наукова думка, 2010. 832 с.

Тозоні О.В. Розрахунок електромагнітних полів на обчислювальних машинах. Київ : Техніка, 2007. 324 с.

Savin N.W. Einige mathematische Verfahren zur Berechnung elektrischer und magnetischer Felder. Berichte des Rechenzentrum Graz. 1984. Bericht № 102. 105 s.

Кит Г.С., Кривцун М.Г. Площинні задачі термопружності для тіл із тріщинами. Київ : Наукова думка, 2003. 280 с.

Usov A., Tonkonogy V., Rybak O. Modelling of Temperature Field and Stress-Strain State of the Workpiece with Plasma Coatings during Surface Grinding. Machines. 2019. Vol. 7, № 1. Article 20. DOI: 10.3390/machines7010020.

Моделювання систем : монографія / Г.О. Оборський та ін. Одеса : Астропринт, 2013. 664 с.

Davim J.P. Modern mechanical engineering: Research, development and education. Springer, 2014. DOI: 10.1007/978-3-642-45176-8.

Popov G.Ya. Selected works. Vol. 1–2. Odessa : VMV, 2007.

Ladopoulos E.G. Singular integral operators method for two-dimensional plasticity problems. Computers & Structures. 1989. Vol. 33, № 3. P. 859–865. DOI: 10.1016/0045-7949(89)90260-5.

Kunitsyn M., Usov A., Zaychyk Y. Information technologies of the analysis for models to ensure quality characteristics of the working surfaces during mechanical processing. Advances in Design, Simulation and Manufacturing VI / Ed. by V. Ivanov et al. Cham : Springer Nature Switzerland, 2023. P. 274–285. DOI: 10.1007/978-3-031-32767-4_26.

Bhargava G.K., Sharma P., Bhardwaj S., Sharma I. An introduction to hard ferrites: From fundamentals to practical applications. Materials Research Forum LLC, 2023.

Published

2025-05-27