Deformable Voronoi model for the research of the plane stress-strain state

  • Victor V. Chaiko Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus https://orcid.org/0000-0003-2490-0401
  • Oleg L. Konovalov Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
DOI: https://doi.org/10.33581/2520-6508-2021-1-102-112

Abstract

The paper considers an approach to modelling geomechanical processes based on the internal forces method. In particular, the problem of non-invariance of the method to rotations is investigated. An original modification of the method based on additional central forces determined by deformations of adjacent Voronoi cells is proposed. An analytical relationship between the parameters of the microstructural model and the elastic properties of the simulated material is obtained. The results of numerical experiments to verify this relationship and the accuracy of modelling the stress-strain state are presented.

Author Biographies

Victor V. Chaiko, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

postgraduate student at the department of information management systems, faculty of applied mathematics and computer science

Oleg L. Konovalov, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

PhD (engineering); head of the laboratory of information technologies and computer graphics and associate professor at the department of information management systems, faculty of applied mathematics and computer science

References

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  6. Konovalov O, Ji S, Zhuravkov M. Modified virtual internal bond model based on deformable Voronoi particles. Theoretical and Applied Mechanics Letters. 2020;10(2):87–91. DOI: 10.1016/j.taml.2020.01.008.
Published
2021-04-12
Keywords: numerical experiment, discrete element modelling, microstructural parameters, stress-strain state, deformable Voronoi
How to Cite
Chaiko, V. V., & Konovalov, O. L. (2021). Deformable Voronoi model for the research of the plane stress-strain state. Journal of the Belarusian State University. Mathematics and Informatics, 1, 102-112. https://doi.org/10.33581/2520-6508-2021-1-102-112
Issue
No 1 (2021): Journal of the Belarusian State University. Mathematics and Informatics
Section
Theoretical Foundations of Computer Science

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