Solid Mechanics and Its Applications

Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements

Authors: Manolis, G.D., Dineva, P.S., Rangelov, T.V., Wuttke, F.

  • Offers a step-by-step tutorial on the application of boundary integral equation methods in mechanics
  • Includes a methodology for the numerical modeling of elastic wave propagation problems
  • Presents test and benchmark examples, validated numerical schemes, and algorithms for building software
  • Provides a comprehensive mathematical basis for the derivation of fundamental solutions / Green’s functions for partial differential equations with nonconstant coefficients as applied to motion in nonhomogeneous solids
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eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-319-45206-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-45205-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration.

The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past.

Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media.

The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.

Reviews

“This book treats the theory of seismic waves by using various models of elastic media, and gives analytical and numerical solutions for problems with boundary conditions prescribed at two-dimensional domains, applying the boundary integral equation method (BIEM) AND Fourier-Laplace and Radon transforms. The book covers the state-of-the-art of the BIEM in the field of elastodynamics and can be considered a useful reading for researchers and graduate students in seismology.” (Vladimir Čadež, zbMATH 1365.74002, 2017) 


Table of contents (11 chapters)

  • Introduction

    Manolis, George D. (et al.)

    Pages 1-5

  • State-of-the-Art for the BIEM

    Manolis, George D. (et al.)

    Pages 9-52

  • Elastodynamic Problem Formulation

    Manolis, George D. (et al.)

    Pages 53-78

  • Fundamental Solutions for a Class of Continuously Inhomogeneous, Isotropic, and Anisotropic Materials

    Manolis, George D. (et al.)

    Pages 79-100

  • Green’s Function for the Inhomogeneous Isotropic Half-Plane

    Manolis, George D. (et al.)

    Pages 101-121

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-319-45206-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-45205-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
240
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-45206-7
DOI
10.1007/978-3-319-45206-7
Hardcover ISBN
978-3-319-45205-0
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XVI, 294
Number of Illustrations and Tables
95 b/w illustrations
Topics