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Viscoelastic waves and rays in layered media / Roger D. Borcherdt.

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"The first edition of this book was a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The second edition extends this exposition to include the theory of general rays and head waves. These theor...

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Author: Borcherdt, Roger D. (Author)
Other title:Viscoelastic waves in layered media.
Format: eBook
Language:English
Published: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.
Edition:Second edition.
Subjects:
Waves > Mathematics.
Viscoelasticity.
Viscoelastic materials.
Table of Contents:
  • Cover
  • Half-title
  • Title page
  • Copyright information
  • Dedication
  • Contents
  • Preface
  • Historical Prologue
  • 1 One-Dimensional Viscoelasticity
  • 1.1 Constitutive Law
  • 1.2 Stored and Dissipated Energy
  • 1.3 Physical Models
  • 1.4 Equation of Motion
  • 1.5 Problems
  • 2 Three-Dimensional Viscoelasticity
  • 2.1 Constitutive Law
  • 2.2 Stress-Strain Notation
  • 2.3 Equation of Motion
  • 2.4 Correspondence Principle
  • 2.5 Energy Balance
  • 2.6 Problems
  • 3 Viscoelastic P, SI, and SII Waves
  • 3.1 Solutions of Equation of Motion
  • 3.2 Particle Motion for P Waves.
  • 3.3 Particle Motion for Elliptical and Linear S Waves
  • 3.3.1 Type-I or Elliptical S (SI) Wave
  • 3.3.2 Type-II or Linear S (SII) Wave
  • 3.4 Energy Characteristics of P, SI, and SII Waves
  • 3.4.1 Mean Energy Flux (Mean Intensity)
  • 3.4.2 Mean Energy Densities
  • 3.4.3 Energy Velocity
  • 3.4.4 Mean Rate of Energy Dissipation
  • 3.4.5 Reciprocal Quality Factor, -1 Q
  • 3.5 Viscoelasticity Characterized by Parameters for Homogeneous P and S Waves
  • 3.6 Characteristics of Inhomogeneous Waves in Terms of Characteristics of Homogeneous Waves
  • 3.6.1 Wave Speed and Maximum Attenuation.
  • 3.6.2 Particle Motion for P and SI Waves
  • 3.6.3 Energy Characteristics for P, SI, and SII Waves
  • 3.7 P, SI, and SII Waves in Low-Loss Viscoelastic Media
  • 3.8 P, SI, and SII Waves in Media with Equal Complex Lamé Parameters
  • 3.9 P, SI, and SII waves in a Standard Linear Solid
  • 3.10 Displacement and Volumetric Strain
  • 3.10.1 Displacement for General P and SI Waves
  • 3.10.2 Volumetric Strain for a General P Wave
  • 3.10.3 Simultaneous Measurement of Volumetric Strain and Displacement
  • 3.11 Problems
  • 4 Framework for Single-Boundary Reflection-Refraction and Surface-Wave Problems.
  • 4.1 Specification of Boundary
  • 4.2 Specification of Waves
  • 4.3 Problems
  • 5 General P, SI, and SII Waves Incident on a Viscoelastic Boundary
  • 5.1 Boundary-Condition Equations for General Waves
  • 5.2 Incident General SI
  • 5.2.1 Specification of Incident General SI Wave
  • 5.2.2 Propagation and Attenuation Vectors
  • Generalized Snell's Law
  • 5.2.3 Amplitude and Phase
  • 5.2.4 Conditions for Homogeneity and Inhomogeneity
  • 5.2.5 Conditions for Critical Angles
  • 5.3 Incident General P Wave
  • 5.3.1 Specification of Incident General P Wave
  • 5.3.2 Propagation and Attenuation Vectors.
  • Generalized Snell's Law
  • 5.3.3 Amplitude and Phase
  • 5.3.4 Conditions for Homogeneity and Inhomogeneity
  • 5.3.5 Conditions for Critical Angles
  • 5.3.5 Conditions for Critical Angles
  • 5.4 Incident General SII Wave
  • 5.4.1. Specification of Incident General SII Wave
  • 5.4.2 Propagation and Attenuation Vectors
  • Generalized Snell's Law
  • 5.4.3 Amplitude and Phase
  • 5.4.4 Conditions for Homogeneity and Inhomogeneity
  • 5.4.5 Conditions for Critical Angles
  • 5.4.6 Energy Flux and Energy Flow Due to Wave Field Interactions
  • 5.5 Problems.

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