In the theory of inelastic deformations with internal variables, H.-D. Albe
r has defined an important class of models called models of monotone type.
For the subclass containig coercive models, the existence of global in time
solutions is known. Unfortunately, in practice the coerciveness condition
fails very often. Therefore we consider here noncoercive problems. In this
note we study a subclass of models of monotone type for which the so-called
coercive approximation converges to a solution of the original noncoercive
problem.