  Out of plane vibrations are suppressed in graphene layers placed on a
substrate. These modes, in suspended samples, are relevant for the
understanding of properties such as the resistivity, the thermal expansion
coefficient, and other. We present a general framework for the study of the
properties of out of plane modes in graphene on different substrates. We use
the model to estimate the substrate induced changes in the thermal expansion
coefficient, or in the temperature dependence of the resistivity.
