  We consider the quasi-static evolution of the thermo-plasticity model in
which the evolution equation law for the inelastic strain is given by the
Prandtl-Reuss flow rule. The thermal part of the Cauchy stress tensor is not
linearised in the neighbourhood of a references temperature. This nonlinear
thermal part imposed to add a damping term to the balance of the momentum,
which can be interpreted as external forces acting on the material. In general
the dissipation term occurring in the heat equation is integrable function only
and the standard methods can not be applied. Combining truncation techniques
and Boccardo-Gallou\"et approach with monotone methods we prove an existence of
renormalised solutions.
