Study of a deformation localization direction in slow motion of a granular medium

Olga I. Kuzovatova

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: 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.

UDC: 539.37

Received: 09.11.2021
Received in revised form: 18.03.2022
Accepted: 25.06.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-5-586-597