Mathematical modeling of the pipe pressing process using the QForm package

Authors

  • M.I. Medvediev Ukrainian State University of Science and Technologies, Dnipro, Ukraine https://orcid.org/0000-0002-1230-420X
  • O.S. Bobukh Ukrainian State University of Science and Technologies, Dnipro, Ukraine https://orcid.org/0000-0001-7254-3854
  • A.V. Krasiuk Ukrainian State University of Science and Technologies, Dnipro, Ukraine
  • Yu.V. Nytkin Ukrainian State University of Science and Technologies, Dnipro, Ukraine
  • B.I. Kvak Ukrainian State University of Science and Technologies, Dnipro, Ukraine

DOI:

https://doi.org/10.15802/tpm.2.2025.13

Keywords:

pressing, deformation, modeling, pipe, stainless steel, stress

Abstract

Purpose of the work. Creation of a mathematical model of the process of hot pressing of pipes, development and improvement of the technology and design of the technological tool by determining the dependencies between the temperature-deformation and plastic characteristics of the metal under conditions of intensive plastic deformation. Research methodology. The mathematical model is based on a system of equations, which includes the equilibrium equation, the equation of connection between the velocity field of material points and deformation rates, the equation of connection between the stressed and deformed state, the incompressibility condition, the plasticity criterion, the energy equation. The resistance to deformation of the workpiece material is considered to depend on the accumulated deformation, the current deformation rate and temperature. Results. The modeling of the pipe pressing process was carried out for steels of austenitic class 12X18N10T and ferritic class 12x13 for pipes with dimensions of 45x4.0-5.0 mm, 88.9x6.45 mm, 114x6.88 mm and 219x 7.0-8. This model used the friction law of Levanov A.N., according to which the coefficient of friction on the metal-tool surface is within 0.015-0.02. The adequacy of the model was checked using the geometric parameters of the pressed products (pipes 45x4.5 mm and pressing forces for pipes with dimensions 45x4.0-5.0 mm, 114x6.88 mm and 219x 7.0-8.0 mm. Analysis of the results of the process modeling, completion speed, normal and tangential stresses. Scientific novelty. For the first time, data on the distribution of temperature, degree and rate of deformation, normal and tangential stresses in the deformation center during pipe pressing were obtained using the finite element method, which is distinguished by taking into account experimentally determined rheological properties of steels and comprehensive accounting of the regularities and features of elastic-plastic, thermal and kinematics. Practical significance. The use of the obtained data allows us to determine rational temperature-deformation and speed parameters for pressing pipes, which ensure the minimization of the probability of defects on the surface of the products.

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Published

2025-06-30

How to Cite

Medvediev , M., Bobukh , O., Krasiuk , A., Nytkin , Y., & Kvak , B. (2025). Mathematical modeling of the pipe pressing process using the QForm package. Theory and Practice of Metallurgy, (2), 92–105. https://doi.org/10.15802/tpm.2.2025.13

Issue

No. 2 (2025)

Section

Articles

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