  First, two examples of 1D distributed port-Hamiltonian systems with
dissipation, given in explicit (descriptor) form, are considered: the Dzekster
model for the seepage of underground water and a nanorod model with non-local
viscous damping. Implicit representations in Stokes-Lagrange subspaces are
formulated. These formulations lead to modified Hamiltonian functions with
spatial differential operators. The associated power balance equations are
derived, together with the new boundary ports. Second, the port-Hamiltonian
formulations for the Timoshenko and the Euler-Bernoulli beams are recalled, the
latter being a flow-constrained version of the former. Implicit representations
of these models in Stokes-Lagrange subspaces and corresponding power balance
equations are derived. Bijective transformations are proposed between the
explicit and implicit representations. It is proven these transformations
commute with the flow-constraint projection operator.
