  In this work we investigate the material point model and exploit the
geometrical meaning of the "entropy form" introduced by B.Coleman and R.Owen.
We analyze full and partial integrability (closeness) condition of the entropy
form for the model of thermoelastic point and for the the deformable
ferroelectric crystal media point. We show that the thermodynamical phase space
(TPS) introduced by R.Hermann and widely exploited by R. Mrugala with his
collaborators and other researchers, extended possibly by time, with its
canonical contact structure is an appropriate setting for the development of
material point models in different physical situations. This allows us to
formulate the model of a material point and the corresponding entropy form in
terms similar to those of the homogeneous thermodynamics. Closeness condition
of the entropy form is reformulated as the requirement that the admissible
processes curves belongs to the constitutive surface S of the model.
  Our principal result is the description of the constitutive surfaces S of the
material point model as the Legendre submanifolds of the TPS shifted by the
flow of Reeb vector field. This shift is controlled, at the points of Legendre
submanifold by the entropy production function $\sigma$.
