title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð²Ð¾Ð»Ð½ Ð² ÐºÐ¾Ð³ÐµÐ·Ð¸Ð²Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÑÐºÐ°Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð´Ð¸ÑÐºÑÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: DEM modelling of wave propagation in cohesive powders
Creators: name: ÐÑÐºÐ»Ð°ÐºÐ¾Ð², ÐÐ³Ð¾Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÐÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ ÑÑÐµÐ´Ð° ÐÐ¾ÑÑÐµÑÐ°
ÑÑÐ¿ÑÑÐ¸Ðµ ÑÑÐµÐ´Ñ
Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð°Ñ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð¸Ñ
reduced Cosserat medium
granular media
local anisotropy

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð´Ð¸ÑÐºÑÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¿ÑÐ¾ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð²Ð¾Ð»Ð½Ñ Ð² ÐºÐ¾Ð³ÐµÐ·Ð¸Ð²Ð½Ð¾Ð¼, ÑÐ»Ð°Ð±Ð¾ Ð¿Ð¾Ð´Ð¶Ð°ÑÐ¾Ð¼ Ð¿Ð¾ÑÐ¾ÑÐºÐµ. Ð ÑÐ¿Ð°ÐºÐ¾Ð²ÐºÐµ ÑÐ»Ð°Ð±Ð¾ ÐºÐ¾Ð³ÐµÐ·Ð¸Ð²Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÑÐºÐ°, Ð¿Ð¾Ð´Ð¶Ð°ÑÐ¾Ð³Ð¾ Ñ ÑÐµÑÑÑÐµÑ ÑÑÐ¾ÑÐ¾Ð½, ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÑ Ð²Ð¾Ð»Ð½ Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ¸Ñ Ð¿ÑÐ¸ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¸ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ Ð½Ð° Ð»ÐµÐ²Ð¾Ð¹ ÑÑÐµÐ½ÐºÐµ ÑÐ¿Ð°ÐºÐ¾Ð²ÐºÐ¸. Ð Ð°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð¼Ð°Ð»ÑÐ¹ Ð¾ÑÑÐµÐ·Ð¾Ðº Ð²ÑÐµÐ¼ÐµÐ½Ð¸. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð¼Ð¾Ð´ÑÐ»Ñ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ¸Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ, Ð½Ð° ÑÐ·ÑÐºÐµ Python. Ð ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ Ð²ÑÑÐ²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ ÐºÐ°Ðº Ð¿ÑÐ¾Ð´Ð¾Ð»ÑÐ½Ð°Ñ, ÑÐ°Ðº Ð¸ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð°Ñ Ð²Ð¾Ð»Ð½Ð° Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð²Ð½Ñ Ð½Ð° Ð²ÑÑÐ¾ÐºÐ¸Ñ ÑÐ°ÑÑÐ¾ÑÐ°Ñ, Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð°Ñ Ð²Ð¾Ð»Ð½Ð° Ð¾Ð±Ð»Ð°Ð´Ð°ÐµÑ Ð±Ð¾Ð»ÐµÐµ ÑÐ¸Ð»ÑÐ½Ð¾Ð¹ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸ÐµÐ¹. ÐÐ¾Ð¿ÐµÑÐµÑÐ½ÑÐµ Ð²Ð¾Ð»Ð½Ñ Ð¸Ð¼ÐµÑÑ Ð½ÐµÑÐ¸Ð¿Ð¸ÑÐ½Ð¾Ðµ Ð´Ð»Ñ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ, Ð²Ð¾Ð»Ð½Ð° ÑÐ´Ð²Ð¸Ð³Ð° ÑÐ²Ð»ÑÐµÑÑÑ Ð¾Ð´Ð½Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾ ÑÑÐ°Ð½ÑÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¸ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ½Ð¾Ð¹. ÐÐ° Ð²ÑÑÐ¾ÐºÐ¸Ñ ÑÐ°ÑÑÐ¾ÑÐ°Ñ Ð²Ð¾Ð»Ð½Ñ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÑÑÑ Ð¼ÐµÐ´Ð»ÐµÐ½Ð½Ð¾ Ð¸Ð»Ð¸ Ð»Ð¾ÐºÐ°Ð»Ð¸Ð·ÑÑÑÑÑ Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ°. Ð¢Ð°ÐºÐ¾Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ½Ð¾ Ð´Ð»Ñ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ ÐºÐ¾Ð½ÑÐ¸Ð½ÑÑÐ¼Ð¾Ð² Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ½ÑÐ¼Ð¸ ÑÑÐµÐ¿ÐµÐ½ÑÐ¼Ð¸ ÑÐ²Ð¾Ð±Ð¾Ð´Ñ.
description: The work is devoted to the development of effective algorithms and software for modeling by means DEM the wave propagation in a weakly cohesive, slightly compressed powder. Linear waves in the vicinity of a nonlinear equilibrium are simulated in a packing of a weakly cohesive powder compressed from four sides, whereas boundary conditions are set on the left wall of the package. We limit ourselves by a short period of time. A module in Python for visualization and analysis of the experiment results, is developed. The experiment revealed that both longitudinal and transverse wave are dispersive at high frequencies, the dispersion of the transverse wave is more pronounced. Transverse waves have atypical for classical theory character, they include both translational and rotational components. At high frequencies waves propagate slowly or are localised near the source. This behaviour is characteristic for reduced continua with rotational degrees of freedom.