Geodesic
Deformable voronoi model for the research of the plane stress-strain state
Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2021), pp. 102-112

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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.
Keywords: numerical experiment; discrete element modelling; microstructural parameters; stress-strain state; deformable Voronoi. 
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     author = {V. V. Chaiko and O. L. Konovalov},
     title = {Deformable voronoi model for the research of the plane stress-strain state},
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     pages = {102--112},
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V. V. Chaiko; O. L. Konovalov. Deformable voronoi model for the research of the plane stress-strain state. Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2021), pp. 102-112. http://geodesic.mathdoc.fr/item/BGUMI_2021_1_a8/