A one-dimensional model for combustion wave propagation in deformed me
dia is proposed taking into account the coherence of the deformation a
nd temperature fields. It is shown that stresses and deformations chan
ge temperature profiles in the steady-state combustion wave and the co
nditions of steady-state combustion wave stability loss. The concept o
f the thermomechanical loss of combustion wave stability is introduced
, which can occur before the thermal loss of combustion stability. It
is shown that the coherence of deformation and temperature fields can
be the reason for the exponential stability loss.