Ilyushin’s Delay Trace in Granular Media in Deformation Along a Two-Link Broken Trajectory
D. S. Zhurkina, S. V. Lavrikov, O. F. Mikenina, A. F. Revuzhenko
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: Granular medium, plastic deformation, complex loading, break of a trajectory, Ilyushin’s delay trace
Abstract
Using the discrete element method, the scalar and vector properties of a granular medium subjected to loading along two-link broken trajectories are analyzed numerically. The calculations of loading samples of a granular medium by cyclic alternating shear and broken trajectory shear are performed. The issue of the value of Ilyushin’s delay trace is discussed. Based on the dilatancy analysis, the trace of delay in the scalar properties of a medium is estimated. The delay in the vector properties is assessed by comparing the stress and strain tensor components during loading. It is found that the trace of delay in the scalar and vector properties in granular media is higher than in metals by one-two orders of magnitude.
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