Theory of elastic waves / / Peijun Wei

• Record Nr.: UNISA996499859903316
• Autore: Wei Peijun
• Pubbl/distr/stampa: Singapore : , : Springer, , [2023]; ©2023
• ISBN: 9789811956621; 9789811956614
• Descrizione fisica: 1 online resource (371 pages)
• Disciplina: 531.1133
• Soggetti: Elastic waves
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Introduction -- Contents -- 1 Fundamentals of Elastodynamics -- 1.1 Basic Hypothesis of Elastodynamics -- 1.1.1 Continuity Hypothesis -- 1.1.2 Elasticity Hypothesis -- 1.1.3 Small Deformation Hypothesis -- 1.1.4 Homogeneous Hypothesis -- 1.1.5 Isotropic Hypothesis -- 1.1.6 Zero Initial Stress Hypothesis -- 1.2 Basic Conservation Laws of Elastodynamics -- 1.2.1 Law of Mass Conservation -- 1.2.2 Law of Conservation of Momentum -- 1.2.3 The Law of Conservation of Energy -- 1.3 Variational Principle of Elastodynamics -- 1.4 The Initial Boundary Value Problem of Elastodynamics -- 1.5 Transient and Steady-State Problems -- 2 Elastic Waves in an Infinite Medium -- 2.1 Scalar Potential and Vector Potential -- 2.2 Solution of Wave Equation -- 2.3 Properties of Plane Waves -- 2.3.1 Propagation Mode of Plane Waves -- 2.3.2 The Stress Distribution on the Wavefront -- 2.3.3 The Energy Flow Density of a Plane Wave -- 2.4 Inhomogeneous Plane Wave -- 2.5 Spectrum Analysis of Plane Wave -- 3 Reflection and Transmission of Elastic Waves at Interfaces -- 3.1 Classification of Interfaces and Plane Waves -- 3.1.1 Perfect Interface and Imperfect Interface -- 3.1.2 P Wave, S Wave and SH Wave -- 3.2 Reflection of Elastic Waves on Free Surface -- 3.2.1 Reflection of P Wave on Free Surface -- 3.2.2 Reflection of SH Waves on Free Surface -- 3.2.3 Reflection of SV Waves on Free Surface -- 3.2.4 Incident P Wave and SV Wave Simultaneously -- 3.3 Reflection ; and Transmission of Elastic Waves at the Interface -- 3.3.1 Reflection and Transmission of P Waves at the Interface -- 3.3.2 Reflection and Transmission of SH Waves at the Interface -- 3.3.3 Reflection and Transmission of SV Waves at the Interface -- 3.3.4 P Wave and SV Wave Incidence Simultaneously -- 3.4 Reflection and Transmission of Waves at the Periodic Corrugated Interface.; 4 Reflection and Transmission of Elastic Waves in Multilayer Media -- 4.1 Simultaneous Interface Conditions Method -- 4.2 Transfer Matrix Method -- 4.3 Stiffness Matrix Method -- 4.4 Multiple Reflection/Transmission Method -- 4.5 Super-Interface Method -- 4.6 The State Transfer Equation Method -- 4.7 Bloch Waves in Periodic Layered Structures -- 5 Surface Wave and Interface Wave -- 5.1 P-type Surface Waves and SV-Type Surface Waves -- 5.2 Rayleigh Wave -- 5.2.1 Rayleigh Wave's Wave Function -- 5.2.2 Rayleigh Equation -- 5.2.3 The Displacement Field of the Ryleigh Wave -- 5.2.4 Rayleigh Wave in Elastic Half-Space with Cover Layer -- 5.3 Love Wave -- 5.3.1 The Displacement Distribution of Love Wave -- 5.3.2 The Dispersion Equation of Love Wave -- 5.4 Stoneley Wave -- 5.4.1 Wave Function of Stoneley Wave -- 5.4.2 Stoneley Equation -- 5.5 Torsional Surface Wave -- 6 Guided Waves -- 6.1 Flexural Waves in Beams -- 6.2 Flexural Waves in Plate -- 6.3 Guided Waves in Plate (Lamb Wave) -- 6.3.1 Mixed Boundary Condition -- 6.3.2 Free Boundary Conditions -- 6.3.3 Fixed Boundary Condition -- 6.3.4 Liquid Load on Both Sides -- 6.4 Guided Waves in Cylindrical Rod -- 6.4.1 Axisymmetric Torsional Waves -- 6.4.2 Axisymmetric Compression Waves -- 6.4.3 Non-axisymmetric Guided Waves (Bending Waves) -- 6.4.4 Surface with Liquid Load -- 6.5 Waves in Cylindrical Tube -- 6.5.1 Axisymmetric Torsional Waves -- 6.5.2 Axisymmetric Compression Waves -- 6.5.3 Non-axisymmetric Waves (Bending Waves) -- 6.5.4 Inner and Outer Surfaces with Liquid Load -- 6.6 Guided Waves in Spherical Shell -- 6.6.1 Inner and Outer Free Surfaces -- 6.6.2 Inner and Outer Surfaces with Liquid Loads -- References.