title: Ð¢ÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð¿Ð»Ð¾ÑÐºÐ¾Ð³Ð¾ ÑÑÐ¾Ð½ÑÐ° Ñ Ð¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ°ÐºÑÐ¸Ð¸ Ð² ÑÐ¿ÑÑÐ³Ð¾Ð¼ ÑÐµÐ»Ðµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Theoretical investigation of the planar chemical reaction front propagation in an elastic solid
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: 2021
Subjects: Ð¼ÐµÑ Ð°Ð½Ð¾Ñ Ð¸Ð¼Ð¸Ñ
ÑÑÐ¾Ð½Ñ Ñ Ð¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ°ÐºÑÐ¸Ð¸
Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð°Ñ Ð´Ð¸ÑÑÑÐ·Ð¸Ñ
ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸
mechanochemistry
chemical reaction front
non-stationary diffusion
coupled problems

description: Ð ÐºÐ¾Ð½ÑÐµÐºÑÑÐµ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ ÑÐ²ÑÐ·Ð°Ð½Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Â«ÑÐ¸Ð¼Ð¸Ñ â Ð´Ð¸ÑÑÑÐ·Ð¸Ñ â Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ°Â» Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¾ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÑÐ¾Ð½ÑÐ° ÑÐ¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ°ÐºÑÐ¸Ð¸ Ð² Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÑÐµÐ¼Ð¾Ð¼ ÑÐµÐ»Ðµ. ÐÑÐ´ÐµÐ»ÐµÐ½Ñ Ð´Ð²Ð° ÑÑÐ°Ð¿Ð° ÑÐµÐ°ÐºÑÐ¸Ð¸: ÑÑÐ°Ð¿ Ð¿ÐµÑÐ²Ð¾Ð½Ð°ÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸ Ð´Ð¾ Ð½Ð°ÑÐ°Ð»Ð° ÑÐµÐ°ÐºÑÐ¸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 Ð¾Ð´Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Wolfram Mathematica Ð¸ ÐºÐ¾Ð½ÐµÑÐ½Ð¾-ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° ANSYS Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð², Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ²Ð°Ð·Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²Ð¾Ðº Ð·Ð°Ð´Ð°ÑÐ¸ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸. ÐÐ»Ñ ÑÐ¸ÑÐ¾ÐºÐ¾Ð³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° Ð²ÐµÐ»Ð¸ÑÐ¸Ð½ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸, ÐºÐ¾Ð½ÑÑÐ°Ð½ÑÑ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ ÑÐµÐ°ÐºÑÐ¸Ð¸ Ð¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐµÐ¼Ð¾Ð¹ Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸ÑÐ¼Ð¸ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ Ð´Ð¸ÑÑÑÐ½Ð´Ð¸ÑÑÑÑÐµÐ³Ð¾ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð½Ð° Ð²ÑÐµÐ¼Ñ Ð´Ð¾ Ð½Ð°ÑÐ°Ð»Ð° ÑÐµÐ°ÐºÑÐ¸Ð¸, ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð´Ð¸ÑÑÑÐ½Ð´Ð¸ÑÑÑÑÐµÐ³Ð¾ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ° Ð¿Ð¾ ÑÐµÐ»Ñ Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÑ ÑÑÐ¾Ð½ÑÐ°. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð² Ð²ÑÐ±ÑÐ°Ð½Ð½Ð¾Ð¼ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ¸Ðµ ÑÐºÐ¾ÑÐ¾ÑÑÐµÐ¹ ÑÑÐ¾Ð½ÑÐ° ÑÐµÐ°ÐºÑÐ¸Ð¸ 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¸ Ð¼Ð¾Ð¶ÐµÑ Ð¼ÐµÐ½ÑÑÑÑÑ Ð¾Ñ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸ Ð½ÑÐ»Ñ Ð´Ð¾ 30%.
description: In the context of the formulation of the coupled problem "chemistry â diffusion â mechanics", the propagation of the chemical reaction front in a deformable body is studied. Two stages of the reaction are distinguished: the stage of initial diffusion before the reaction begins and the stage of propagation of the reaction front after its detachment from the body boundary. In the one-dimensional formulation using Wolfram Mathematica and the finite element package ANSYS, the results obtained on the basis of the quasi-stationary and non-stationary statements of the diffusion problem are compared. For a wide range of values of the diffusion parameters, the reaction rate constant, and the equilibrium concentration of the diffusing component determined by mechanical stresses, the influence of the parameters on the time before the reaction, the distribution of the diffusing component over the body, and the front velocity is analyzed. It is shown that in the selected range of parameter values, the difference in the reaction front velocities in the quasi-stationary and non-stationary diffusion formulations can vary from almost zero to 30%.