The propagation of bend and shear waves through an elastic rod is investigated in the framework of geometrically exact nonlinear elasticity. The model allows for shear, extension/compression, bend and twist thus enabling the study of the dynamics of all types of elastic deformations. Numerical and analytical solutions demonstrate that the propagation of planar bend or shear disturbances of fini...

We perform a stability analysis for a fluid-structure interaction (FSI) problem in which a spherical elastic shell or membrane is immersed in a 3D viscous, incompressible fluid. The shell is an idealized structure having zero thickness, and has the same fluid lying both inside and outside. The problem is formulated mathematically using the immersed boundary framework in which Dirac delta functi...