Kassel University 2012

Includes bibliographical references.

Online resource; title from PDF title page (ebrary, viewed February 18, 2014).

Front cover ; Title page ; Imprint ; Acknowledgments; Abstract; Contents; Introduction; Chapter 1: Acoustic Wave Scattering and Imaging; 1.1 Fundamental Acoustic Field Equations; 1.1.1 Constitutive equations; 1.2 Acoustic Wave Equation and Solution; 1.2.1 Acoustic Plane Waves; 1.3 Huygens Principle; 1.4 Acoustic Scattering by a Cylinder; 1.5 Inverse Scattering; 1.5.1 Radon Transform; 1.5.2 Fourier Slice Theorem; 1.5.3 Filtered Back Projection; Chapter 2: Elastic Waves in Anisotropic Media ; 2.1 Fundamentals of Elastodynamics; 2.2 Transition and Boundary Conditions; 2.2.1 Solid-Solid Interface.

2.2.2 Solid-Fluid Interface2.3 Material Equations for Elastodynamics; 2.4 Material Structural Analysis; 2.4.1 Isotropic Materials; 2.4.2 Transversely Isotropic Materials; 2.4.3 Orthotropic Materials; 2.5 Elastodynamics of Anisotropic Media; 2.5.1 Computation of Velocity Surfaces and Polarization of Elastic Waves in Homogeneous Isotropic Medium ; 2.5.2 Computation of Slowness, Phase Velocity and Group Velocity in Transversely Isotropic Media ; 2.6 Eigenvalue Problem Formulation for Anisotropic Media; 2.6.1 Computation of Slowness, Phase Velocity and Group Velocity in Orthotropic Media.

2.7 Elastodynamic Green Tensor2.7.1 Green Functions for an Isotropic Medium; 2.7.2 Green's Functions for a Anisotropic Medium; 2.8 Computation of the Stiffness Tensor under Coordinate Transformation ; Chapter 3: Numerical Modeling of Elastic Wave Fields ; 3.1 EFIT Governing Equations in Stretched Coordinate System ; 3.1.1 Cauchy's Equation of Motion; 3.1.2 Deformation Rate Equation; 3.2 Discretization; 3.2.1 Integration Cell and FIT Decomposition for Velocity Components ; 3.2.2 Integration Cell and FIT Decomposition for the Stress Components.

3.3 3D-EFIT Validation for Homogeneous Isotropic and Anisotropic Media 3.3.1 Validation in Anisotropic Media; 3.3.2 Elementary Elastic Wave Propagation in Pine Wood Material; 3.4 Convolutional Perfectly Matched Layers for Elastodynamics; 3.5 MPI Implementation of 3D-EFIT in C; Chapter 4: Applications of EFITIn ; 4.1 Elastic Wave Modeling in Inhomogeneous Inconel Steel Weld Structure ; 4.1.1 Geometry-Discretization; 4.1.2 Transducer Modeling; 4.2 3D-EFIT Modeling -- Rayleigh Waves and ElasticWaves in Isotropic Medium ; 4.2.1 Geometry -- Discretization; 4.2.2 Transducer Modeling.

4.2.3 3D-EFIT Simulation Results4.2.4 Validation of 3D-EFIT for Isotropic Media -- Comparison with Measurement ; 4.3 3D-EFIT Modeling of Austenitic Steel Weld Structure with Rotated Material Crystals ; 4.3.1 Geometry; 4.3.2 3D-EFIT Simulation Results; 4.4 3D-EFIT Modeling of Elastodynamic Waves in Inhomogeneous Austenitic Steel Weld Structures ; 4.4.1 Geometry; 4.4.2 Transducer Modeling; 4.4.3 3D-EFIT Simulation Results -- Time Domain Elastic Wave Propagation Snapshots ; 4.5 Modeling of Elastic Waves in Inhomogeneous Pine Wood Species ; 4.5.1 Geometry.

4.5.2 3D-EFIT Results -- Time Domain Snapshots.

Open Access EbpS