The purpose of this note is to report on the recent development concerning
the analysis and the rigorous derivation of
thin film models for structures with nontrivial geometry.
This includes: (i) shells with mid-surface of arbitrary curvature, and
(ii) plates exhibiting residual stress at free equilibria.
In the former setting, we derive a full range of models, some of them
previously absent from the physics and engineering literature.
The latter phenomenon has been observed in
different contexts: growing leaves,
torn plastic sheets and specifically engineered polymer gels.
After reviewing available results, we
list open problems with a promising angle of approach.