title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¼Ð°Ð»Ð¾Ð³Ð¾ Ð²Ð½ÑÑÑÐµÐ½Ð½ÐµÐ³Ð¾ ÑÑÐµÐ½Ð¸Ñ Ð½Ð° ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð°ÐºÑÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼ÐµÑÐ°Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° - Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð¾Ð¹ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ ÐÐ¾ÑÑÐµÑ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: Influence of inner dissipation on the properties of an acoustic metamaterial - linear isotropic reduced Cosserat medium
Creators: name: ÐÑÑÑÑÐµÐ²Ð°, ÐÐ»ÐµÐºÑÐ°Ð½Ð´ÑÐ°
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: 2020
Subjects: ÐÑÐ·ÐºÐ¾ÑÑÑ
Ð¢ÑÐµÐ½Ð¸Ðµ Ð²Ð½ÑÑÑÐµÐ½Ð½ÐµÐµ
ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ ÑÑÐµÐ´Ð° ÐÐ¾ÑÑÐµÑÐ°
Ð²ÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð¾ÑÑÑ
Ð°ÐºÑÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼ÐµÑÐ°Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ
reduced Cosserat medium
viscoelasticity
acoustic metamaterials

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description: We consider the influence of translational and rotational viscosity on the shear wave propagation in the linear isotropic reduced Cosserat medium. In this work - we have obtained and analysed dispersion relations for the linear isotropic viscoelastic reduced Cosserat medium with translational viscosity, as well as their asymptotic approximations for infinitesimal dissipation; we have shown that the acoustic metamaterial changes its type comparing to the elastic case; - we have obtained and analysed dispersion relations for the linear isotropic viscoelastic reduced Cosserat medium with rotational viscosity, as well as their asymptotic approximations for infinitesimal dissipation; - we have shown that the acoustic metamaterial changes its type comparing to the elastic case; - we obtained that rotational, as well as translational infinitesimal dissipation leads to appearing of an abnormal refraction zone, which takes the whole or the part of the former band gap (existing in the elastic case) and a small interval below it. Thus the acoustic metamaterial changes its type: from once negative in the elastic case to the double negative one in the viscoelastic case. In the former band gap the infinitesimal dissipation favours the shear wave propagation.