The relation between two elastic continuum approaches to grain boundary structure, the dislocation and disclination models, is discussed. It is shown that the disclination model has two advantages: a well-behaved expression for the elastic energy of disclination dipole walls, which describes the elastic energy over a wide interval of misorientations, and a continuous misorientation angle depend...

We study critical surfaces for a surface energy which contains the squared $L^2$ norm of difference mean curvature $H$ and spontaneous $c_o$, coupled to elastic boundary curve. investigate existence equilibria with $H\equiv -c_o$. When $c_o \ge 0$ we characterize those cases where infimum this is finite topological annuli find minimizer in that it exists. Results discs are also given.

A method suitable for computing fluid flow in the presence of moving boundaries is presented. In particular, the interaction of fluid with elastic walls is considered. The flow solver was developed based on artificial compressibility concept. The discrretization is done on unstructured tetrahedral meshes. A model of fluid interaction with elastic boundaries including boundary and mesh deformati...

In this paper, we investigate the stability of a fluid-structure interaction problem in which a flexible elastic membrane immersed in a fluid is excited via periodic variations in the elastic stiffness parameter. This model can be viewed as a prototype for active biological tissues such as the basilar membrane in the inner ear, or heart muscle fibers immersed in blood. Problems such as this, in...