For the CS284B (graphics), my partner and I experimented with various approaches for simulating sheet materials.
Sheet Model, enable gravity to start. Classic particle based model with strain limiting offering most of the stability. 50x50 node sheet simulated at 60fps.
Simple continuum model, activate by turning on gravity or increasing pressure. Here, I implemented a simple continuum model based on Large steps in cloth simulation. A verlet integrator was used instead of an implicit integrator.
Lastly, I tried to implement a St. Venant-Kirschhoff model with an anisotropic mesh, but was unable to finish debugging it by the end of the semester.