Solid-phase combustion in a plane stress state. 1. Stationary combustion wave

A model that describes propagation of the conversion front in a generalized plane stress state typical for technological conditions of coating synthesis on a substrate, with allowance for the coupled character of heat transfer and deformation without external mechanical loading, is proposed. A stationary solution is obtained in the approximation of a narrow combustion front. Ranges of model parameters where the temperature of reaction products and the components of stress and strain tensors behave differently are identified.