title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ 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 Ð²ÑÐ·ÐºÐ¾-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° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Modeling of the chemical reaction front propagation in a viscoelastic solid
Creators: name: ÐÐ²Ð°Ð½Ð¾Ð²Ð°, 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: 2022
Subjects: ÐÐµÑ Ð°Ð½Ð¸ÐºÐ°
Ð¥Ð¸Ð¼Ð¸Ñ
ÐÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ
ÑÐµÐ½Ð·Ð¾Ñ Ñ Ð¸Ð¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÑÐ¾Ð´ÑÑÐ²Ð°
ÐºÐ¸Ð½ÐµÑÐ¸ÐºÐ° ÑÑÐ¾Ð½ÑÐ° ÑÐµÐ°ÐºÑÐ¸Ð¸
ÑÐµÐ»Ð°ÐºÑÐ°ÑÐ¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹
Ð¼Ð°Ð»ÑÐµ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸
chemical affinity tensor
reaction front kinetics
stress relaxation
small deformations

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description: Based on the concept of the chemical affinity tensor, the propagation of the chemical reaction front in relation to stresses in a deformable solid is considered in an one-dimensional formulation for a bar and in the case of a reaction planar front in a plate. For the bar, problems are posed and solved in the case of given displacements or given stresses for elastic and viscoelastic reaction products. It is studied how, in the case of given displacements, stresses and deformations depend on the position of the front. The possibility of blocking the propagation of the front is demonstrated. The influence of the diffusion coefficient, elastic modulus, and viscosity coefficient on the propagation of the front under external constant and cyclic deformations is analyzed. The problems of a reaction planar front with given displacements on the plate surfaces for elastic and viscoelastic reaction products are also posed and the problem for the elastic case is investigated.