Cell membrane wrapping of a spherical thin elastic shell

A theoretical study on cell membrane wrapping of a spherical thin elastic shell indicates that stiff nanocapsules achieve full wrapping easier than soft ones. The detailed analysis demonstrates how the wrapping degree depends on the size and stiffness of the nanocapsules, adhesion energy and membrane tension.

Hydraulic falls under a floating ice plate due to submerged obstructions

Steady two-dimensional nonlinear flexural–gravity hydraulic falls past a submerged obstruction on the bottom of a channel are considered. The fluid is assumed to be ideal and is covered above by a thin ice plate. Cosserat theory is used to model the sheet of ice as a thin elastic shell, and boundary integral equation techniques are then employed to find critical flow solutions. By utilising a second obstruction, solutions with a train of waves trapped between two obstructions are investigated.