HOT-SPOT THERMAL-EXPLOSION IN DEFORMED SOLIDS

A model for hot-spot thermal explosion is proposed taking into account the coherence of deformation and temperature fields and the dependenc e of the reaction rate on the work of the deformation force. The probl em is considered in terms of thermal elasticity theory. The solution i s performed using matched asymptotic expansions in various particular cases. The temperature, displacement, deformation and stress fields, t he hot-spot radius corresponding to the boundary of ignition and extin ction regimes, and the ignition time are determined under critical con ditions.