Premium
Simulation of guided waves in cylinders subject to arbitrary boundary conditions for applications in material characterization
Author(s) -
Itner Dominik,
Gravenkamp Hauke,
Dreiling Dmitrij,
Feldmann Nadine,
Henning Bernd
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000232
Subject(s) - finite element method , discretization , boundary value problem , rotational symmetry , characterization (materials science) , boundary (topology) , fourier transform , range (aeronautics) , boundary element method , mathematical analysis , mechanics , computer science , mathematics , physics , materials science , structural engineering , engineering , optics , composite material
Material characterization of viscous polymers is typically carried out as quasi‐static or in the low‐frequency range. However, some applications require excitation in the high‐frequency range, and subsequently adequate elastic properties capable of describing such specific behavior. The FEM may be used to solve the elastic wave equations, however three‐dimensional simulations in the ultrasound regime require considerable computational resources. The computational time can be reduced by combining the scaled boundary finite element method with the Fourier finite element method for cylindrical domains: then, only the radial direction is discretized. We present such an axisymmetric formulation, which is extended to allow the definition of circumferential as well as arbitrarily shaped dynamic boundary conditions. It is shown that the results are in good agreement with standard FEM procedures, while greatly reducing computational time.