Geodesic
Study of a deformation localization direction in slow motion of~a~granular medium
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 586-597

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This paper is devoted to the study of the direction of the deformation localization lines in a slow gravity flow of a granular medium in convergent channels with various geometric characteristics. Variational principles of the theory of limiting equilibrium, established within the framework of a special mathematical model of a material that resist tension and compression differently, are used. Assuming a linear deformation localization zone we obtain safety factors and carry out their comparative analysis.
Keywords: variational inequality, materials with different strengths, deformation localization. 
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     author = {Olga I. Kuzovatova},
     title = {Study of a deformation localization direction in slow motion of~a~granular medium},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     publisher = {mathdoc},
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     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a4/}
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Olga I. Kuzovatova. Study of a deformation localization direction in slow motion of~a~granular medium. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 586-597. http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a4/