title: ÐÐ¾Ð»Ð½Ñ Ð² Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÑ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ ÑÑÐµÐ´Ð°Ñ ÐÐ¾ÑÑÐµÑÐ° ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¸Ð¿Ð°
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: Waves in anisotropic reduced Cosserat medium special type
Creators: name: Ð ÑÐ±ÑÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
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: 2022
Subjects: ÐÐ¾Ð»Ð½Ñ
Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð°Ñ Ð¿ÐµÑÐµÐ²ÑÐ·ÐºÐ°
ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ ÑÑÐµÐ´Ð° ÐÐ¾ÑÑÐµÑÐ°
Ð²Ð¾Ð»Ð½Ñ Ð² Ð¼Ð¸ÐºÑÐ¾Ð¿Ð¾Ð»ÑÑÐ½ÑÑ ÑÑÐµÐ´Ð°Ñ
Ð·Ð°Ð¿ÑÐµÑÐµÐ½Ð½Ð°Ñ Ð·Ð¾Ð½Ð°
anisotropic coupling
reduced Cosserat medium
waves in micropolar media
bandgap

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description: We consider a model of an anisotropic reduced Cosserat medium with axisymmetric couplingÂ between translational and rotational strains. Dispersion relations are analytically obtained forÂ the case of a wave propagating along the axis of symmetry, as well as orthogonally to it. DueÂ to the presence of the coupling between different types of strain and the absence of the reactionÂ to the gradient of microrotation, the longitudinal wave has a band gap. For the mixed waveÂ whose direction of propagation is orthogonal to the axis of symmetry, the coupling betweenÂ the shear and rotational deformation does not make any contribution but only the couplingÂ between the volumetric and rotational deformation matters. The theoretical results for theÂ case of the mixed wave whose direction is orthogonal to the axis of symmetry are comparedÂ with experimental data for cohesive powders, when the sample is formed by sieving under theÂ gravity field.