Abstract
This paper derives spatial decay bounds in a dynamical problem of incremental thermoelasticity defined on a semi‐infinite cylindrical region. Previous results for isothermal elastodynamics and the parabolic heat equation lead us to suspect that the solution of the problem should tend to zero faster than a decaying exponential of the distance from the finite end of the cylinder. We prove that an energy expression is actually bounded above by a decaying exponential of a quadratic polynomial of the distance. As it has been previously proved for usual linear thermoelasticity, this is reminiscent of the decay rate in second order parabolic problems.