A generalized approach for efficient finite element modeling of elastodynamic scattering in two and three dimensions

A robust and efficient technique for predicting the far-field scattering behavior for an arbitrarily-shaped defect in a generally anisotropic medium is presented that can be implemented in a commercial FE package. The spatial size of the modeling domain around the defect is as small as possible to m...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2010-09, Vol.128 (3), p.1004-1014
Main Authors: Velichko, Alexander, Wilcox, Paul D.
Format: Article
Language:English
Subjects:
Acoustics
Anisotropy
Computer Simulation
Defects
Elasticity
Exact sciences and technology
Finite Element Analysis
Finite element method
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Models, Theoretical
Molecular Dynamics Simulation
Motion
Numerical Analysis, Computer-Assisted
Physics
Reproducibility of Results
Scattering
Signal Processing, Computer-Assisted
Solid mechanics
Structural and continuum mechanics
Three dimensional
Time Factors
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Wave scattering
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Summary:A robust and efficient technique for predicting the far-field scattering behavior for an arbitrarily-shaped defect in a generally anisotropic medium is presented that can be implemented in a commercial FE package. The spatial size of the modeling domain around the defect is as small as possible to minimize computational expense and a minimum number of models are executed. The method is based on an integral representation of a wave field in a homogeneous anisotropic medium. A plane incident mode is excited by applying suitable forces at nodes on a surface that encloses the scatterer. The scattered wave field is measured at monitoring nodes on a concentric surface and then decomposed into far-field scattering amplitudes of different modes in different directions. Example results for 2D and 3D bulk wave scattering in isotropic material and guided wave scattering are presented. Modeling accuracy is examined in various ways, including a comparison with the analytical solutions and calculation of the energy balance.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.3467775