Ignition of condensed matter by thermal flux with regard for thermal stresses

The problem of the condensed substance ignition is considered in the framework of the statement of the thermoelasticity linear theory, regarding deformation and temperature fields connection. The solution is carried out using methods of the asymptotic expansion and of the border functions. The ignition time is shown to rise significantly being compared with the results of the heat theory. Tensions, occuring due to large temperature gradients in the chemical reaction zone are shown to reach values, near to the ultimate strengths of a number of substances. The destruction of some areas of the condensed substance leads to the change of the mechanism of chemical reaction initiation and to ignition regime instability.