Ricerc@Sapienza

An implicit relaxation scheme is derived for the simulation of multidimensional flows at all Mach numbers, ranging from very small to order unity. An analytical proof of the asymptotic-preserving property is proposed and the divergence-free condition on the velocity in the incompressible regime is respected. The scheme possesses a general structure, which is independent of the considered state law and thus can be adopted to solve gas and fluid flows, but also deformations of elastic solids.

In this paper, we give a targeted review of the state of the art in the study of planar elastic beams in large deformations, also in the presence of geometric nonlinearities. The main scope of this work is to present the different methods of analysis available for describing the possible equilibrium forms and the motions of elastic beams.

III-nitride core-shell nanowires appear to be promising and versatile nanostructures for fabricating high performance piezoelectric nanodevices. Possible applications range from mechanical sensing to piezotronics and piezophototronics. The paper discusses the effect of nonlinear elasticity on the piezopotential and other relevant features generated by III-N core-shell nanowires. The presented results are aimed at providing useful guidelines for the design of such devices.