title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð½Ð°ÑÐ°Ð»ÑÐ½Ð¾-ÐºÑÐ°ÐµÐ²Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¼ÐµÑ Ð°Ð½Ð¾Ñ Ð¸Ð¼Ð¸Ð¸ Ð´Ð»Ñ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑ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: Investigation of the initial boundary value problem of mechanochemistry for a cylindrical region
Creators: name: Ð ÑÐ±Ð»ÐµÐ², ÐÐ»Ñ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: 2023
Subjects: ÐÐµÑ Ð°Ð½Ð¸ÐºÐ° ÑÐ¿Ð»Ð¾ÑÐ½ÑÑ ÑÑÐµÐ´
Ð¥Ð¸Ð¼Ð¸Ñ
ÐÐ¸ÑÑÑÐ·Ð¸Ñ
Ð¼ÐµÑ Ð°Ð½Ð¾Ñ Ð¸Ð¼Ð¸Ñ
ÑÑÐ¾Ð½Ñ Ñ Ð¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ°ÐºÑÐ¸Ð¸
ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸
mechanochemistry
chemical reaction front
coupled problems

description: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° Ð·Ð°Ð´Ð°ÑÐ° Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÑÐ¾Ð½ÑÐ° Ð»Ð¾ÐºÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ°ÐºÑÐ¸Ð¸ Ð¼ÐµÐ¶Ð´Ñ Ð´Ð¸ÑÑÑÐ½Ð´Ð¸ÑÑÑÑÐ¸Ð¼ Ð¸ ÑÐ²ÐµÑÐ´ÑÐ¼ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ°Ð¼Ð¸ Ð² ÑÐ¿ÑÑÐ³Ð¾Ð¼ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐµ. Ð£ÑÐµÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ Ð½Ð° ÑÐºÐ¾ÑÐ¾ÑÑÑ ÑÑÐ¾Ð½ÑÐ° ÑÐµÐ°ÐºÑÐ¸Ð¸ Ð¾ÑÑÑÐµÑÑÐ²Ð»ÐµÐ½ Ð·Ð° ÑÑÐµÑ Ð²Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐµÐ½Ð·Ð¾ÑÐ° ÑÐ¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÑÐ¾Ð´ÑÑÐ²Ð°. ÐÑÐ´ÐµÐ»ÐµÐ½Ñ ÑÑÐ°Ð¿ Ð¿ÐµÑÐ²Ð¾Ð½Ð°ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð½Ð°ÐºÐ¾Ð¿Ð»ÐµÐ½Ð¸Ñ Ð´Ð¸ÑÑÑÐ½Ð´Ð¸ÑÑÑÑÐµÐ³Ð¾ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ° Ð¸ ÑÑÐ°Ð¿ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÑÐ¾Ð½ÑÐ° ÑÐµÐ°ÐºÑÐ¸Ð¸ Ð¿Ð¾ÑÐ»Ðµ ÐµÐ³Ð¾ Ð¾ÑÑÐµÐ¿Ð»ÐµÐ½Ð¸Ñ Ð¾Ñ Ð³ÑÐ°Ð½Ð¸ÑÑ ÑÐµÐ»Ð°. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÑÐµÐ½Ð¸Ð¹, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð² Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ°Ñ ÐºÐ²Ð°Ð·Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¸ Ð±ÐµÐ· ÑÑÐµÑÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿ÐµÑÐ²Ð¾Ð½Ð°ÑÐ°Ð»ÑÐ½Ð¾ Ð½Ð°ÐºÐ¾Ð¿Ð»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð´Ð¸ÑÑÑÐ½Ð´Ð¸ÑÑÑÑÐµÐ³Ð¾ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ° Ð½Ð° ÑÐºÐ¾ÑÐ¾ÑÑÑ ÑÑÐ¾Ð½ÑÐ° ÑÐµÐ°ÐºÑÐ¸Ð¸, Ð° ÑÐ°ÐºÐ¶Ðµ Ð´Ð»Ñ ÑÐ»ÑÑÐ°Ñ Ð¾ÑÑÑÑÑÑÐ²Ð¸Ñ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸ Ð² Ð½ÐµÐ¿ÑÐµÐ²ÑÐ°ÑÐµÐ½Ð½Ð¾Ð¼ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ðµ. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸, ÑÐ¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð¸ Ð²Ð½ÑÑÑÐµÐ½Ð½Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹, Ð¸Ð½Ð´ÑÑÐ¸ÑÑÐµÐ¼ÑÑ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸ÐµÐ¹ Ð¿ÑÐµÐ²ÑÐ°ÑÐµÐ½Ð¸Ñ, Ð½Ð° ÑÐºÐ¾ÑÐ¾ÑÑÑ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÑÐ¾Ð½ÑÐ° Ð¸ ÐµÐ³Ð¾ Ð±Ð»Ð¾ÐºÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ.
description: The problem of describing the propagation of a localized chemical reaction front between diffusing and solid components in an elastic cylinder is investigated. The influence of mechanical stresses on the reaction front velocity is taken into account by chemical affinity tensor. The stage of initial accumulation of the diffusing component and the stage of propagation of the reaction front after its splitting from the body boundary are distinguished. A comparative analysis of the solutions obtained in the formulations of quasi-stationary and non-stationary diffusion is carried out, taking into account and without taking into account the influence of the initially accumulated diffusing component on the reaction front velocity, as well as for the case of the absence of diffusion in an untransformed material. The influence of diffusion parameters, chemical energy and internal stresses induced by transformation deformation on the propagation velocity of the front and its blocking is investigated.