This work introduces a surface-to-surface contact description in the context of beam-to-beam contact. The introduced is formulated frame absolute nodal coordinate formulation. Leveraging solid element-like features beam formulation and utilizing an interpolation scheme to parameterize cross-section geometry, computationally expensive discretization beam’s thickness directions can be avoided. de...

.......................................................................................................................................................... 1 NOTATIONS ......................................................................................................................................................... 2

We examine a numerical technique developed to simulate unsteady dispersion and diffusion in coated tubes of arbitrary but axially-constant cross-section. The method is validated against analytical asymptotic solutions produced for tubes of circular section, then applied to the study of dispersion in equivalent tubes of square section, coated on one, two, three or four walls, and in a family of ...

We extend the design of radially symmetric invisibility cloaks through transformation optics as proposed by Pendry et al. [Science 312, 1780 (2006)] to coated cylinders of an arbitrary cross section. The validity of our Fourier-based approach is confirmed by both analytical and numerical results for a cloak displaying a non-convex cross section of varying thickness. In the former case, we evalu...

In this paper the Semi-Analytical Finite Element (SAFE) method for modeling guided wave propagation is extended to account for linear viscoelastic material damping. Linear viscoelasticity is introduced by allowing for complex stiffness constitutive matrices for the material. Dispersive characteristics of viscoelastic waveguides, such as phase velocity, attenuation, energy velocity and cross-sec...

We extend the differential theory to anisotropic cylindrical structures with arbitrary cross-section. Two cases have to be distinguished. When the anisotropic cylinders do not contain the origin, the scattering matrix of the device is calculated from the extended differential theory with the help of the scattering matrix propagation algorithm. The fields outside the cylinders are described by F...