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Time domain modeling of axisymmetric wave propagation in isotropic elastic media with CEFIT - Cylindrical Elastodynamic Finite Integration Technique

: Schubert, F.; Köhler, B.; Pfeiffer, A.

Journal of computational acoustics 9 (2001), No.3, pp.1127-1146
ISSN: 0218-396X
Journal Article
Fraunhofer IZFP ()
Cylindrical Elastodynamic Finite Integration Technique (CEFIT)

The Elastodynamic Finite Integration Technique (EFIT), originally developed by Fellinger et al., represents a stable and efficient numerical code to model elastic wave propagation in linear elastic isotropic and anisotropic, homogenous and heterogeneous as well as dissipative and non-dissipative media. In previous works, the FIT discretization of the basic equations of linear elasticity, Hooke's law and Cauchy's equation of motion, was exclusively carried out in Cartesian coordinates. For problems in cylindrical geometries it is more suitable to use cylindrical coordinates. By that, axisymmetric problems can be treated in a two-dimensional staggered grid in the (r,z)-plane. The paper presents an EFIT version for axisymmetric problems in cylindrical coordinates called Cylindrical EFIT (CEFIT). After demonstratingthe accuracy of the numerical code by a comparison between simulation results and analytical solutions, different examples of application are given. These examples involve modeling of sound fields of ultrasonic transducers, thermoelastic laser sources, geophysical borehole probes, impact-echo measurements in layered media, and load simulations of the European Spallation Source (ESS) mercury target.