title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð² ÑÑÐµÐ´Ðµ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð° Ð½Ð° ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð²Ð¾Ð»Ð½
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 the prestressed state in the Kelvin medium on wave propagation
Creators: name: ÐÑÐµÐ¿Ð¸Ð½, ÐÐ¸ÑÐ°Ð¸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: 2022
Subjects: ÐÐ¾Ð»Ð½Ñ
ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ ÑÑÐµÐ´Ð° ÐºÐµÐ»ÑÐ²Ð¸Ð½Ð°
Ð¿ÑÐµÐ´Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
Ð°ÐºÑÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼ÐµÑÐ°Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ
reduced kelvinâs medium
prestressed state
acoustic metamaterials

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð² ÑÑÐµÐ´Ðµ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð° Ð½Ð° ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð²Ð¾Ð»Ð½Â». Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð½Ð° ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð²Ð¾Ð»Ð½ Ð² Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ´Ðµ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð°, Ð°Ð½Ð°Ð»Ð¸Ð·Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸. Ð ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÑÑÐ¸Ñ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð° Ð² Ð¿ÑÐµÐ´Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾Ð¼ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¸; Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¾Ð½Ð½ÑÐµ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐ°ÑÑÐ½ÑÑ ÑÐ»ÑÑÐ°ÐµÐ² ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð²Ð¾Ð»Ð½ Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð°; Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ð¿ÑÐ¸Ð¼ÐµÑÑ Ð½Ð¾Ð²ÑÑ Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼Ð¾Ð² Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸. ÐÐ¾Ð»ÑÑÐµÐ½Ð¾, ÑÑÐ¾ Ð²ÑÐµÑÑÐ¾ÑÐ¾Ð½Ð½ÐµÐµ Ð¾Ð´Ð½Ð¾ÑÐ¾Ð´Ð½Ð¾Ðµ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ðµ-ÑÐ¶Ð°ÑÐ¸Ðµ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº Ð²Ð¾Ð·Ð½Ð¸ÐºÐ½Ð¾Ð²ÐµÐ½Ð¸Ñ Ð½Ð¾Ð²ÑÑ ÑÐ¸Ð¿Ð¾Ð² Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸.Â ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð¿ÑÐ¾Ð´Ð¾Ð»ÑÐ½ÑÑ Ð²Ð¾Ð»Ð½ ÑÐ¿ÑÑÐ³Ð¾Ð¹ ÐºÐ¾Ð½ÑÑÐ°Ð½ÑÑ , ÑÐ¾Ð·Ð´Ð°ÑÑÐµÐ¹ Ð½Ð¸Ð²ÐµÐ»Ð¸ÑÑÑÑÐµÐ¹ ÑÑÑÐµÐºÑ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ ÑÐ¶Ð°ÑÐ¸Ð¸. Ð¢Ð°ÐºÐ¶Ðµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð» Ð¼ÐµÐ½ÑÐµÑ ÑÐ°ÑÐ°ÐºÑÐµÑ
Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð²Ð¾Ð»Ð½ ÑÐ´Ð²Ð¸Ð³Ð° Ð¿ÑÐ¸ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ð¸, Ð´Ð»Ñ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¾ÑÐ¾Ð±Ð¾Ð¹
ÑÐ¾ÑÐºÐ¾Ð¹ ÑÑÐ°Ð½Ð¾Ð²Ð¸ÑÑÑ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ðµ Ð² Ð´Ð²Ð° ÑÐ°Ð·Ð°. ÐÑÐ¸ ÑÐ°ÐºÐ¾Ð¼ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð°Ñ ÐºÐ¾Ð½ÑÑÐ°Ð½ÑÐ° = 0 Ð¸ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÐºÑÐ¸Ð²Ð°Ñ () ÑÑÐ°Ð½Ð¾Ð²Ð¸ÑÑÑ Ð¿ÑÑÐ¼Ð¾Ð¹ Ð»Ð¸Ð½Ð¸ÐµÐ¹.
description: Research topic: "Influence of spherical stress state on the wave properties for reduced Kelvinâs medium". We consider the influence of spherical stress state on the wave propagation in the reduced Kelvinâs medium, stability analysis.In this workwe have obtained constitutive relations for the reduced Kelvinâs medium in prestressed state;we have obtained and analysed dispersion relations for special cases of wave propogation for reduced Kelvinâs medium in vicinity of prestressed state; we have shown new ways of loss of stability. We obtained that spherical stress state leads to generating new types of instability. Have shown the influence on the stability of longitudinal waves of the elastic constant , creating a leveling effect with respect to instability under compression. Also, the material changes its behavior with respect to shear waves in tension. The special point is the stretching twice. Under such stretching, the effective constant = 0 and dispersion curve () becomes a straight line.