Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 240)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
Theoretical Foundations
-
Front Matter
-
-
Wave Propagation in Inhomogeneous and Heterogeneous Regions: The Anti-Plane Strain Case
-
Front Matter
-
-
Wave Propagation in Inhomogeneous and Heterogeneous Regions: The In-Plane Case
-
Front Matter
-
-
Back Matter
Keywords
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 appearthroughout 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
Authors and Affiliations
Bibliographic Information
Book Title: Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements
Authors: George D. Manolis, Petia S. Dineva, Tsviatko V. Rangelov, Frank Wuttke
Series Title: Solid Mechanics and Its Applications
DOI: https://doi.org/10.1007/978-3-319-45206-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Hardcover ISBN: 978-3-319-45205-0Published: 04 October 2016
Softcover ISBN: 978-3-319-83238-8Published: 15 June 2018
eBook ISBN: 978-3-319-45206-7Published: 23 September 2016
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: XVI, 294
Number of Illustrations: 95 b/w illustrations
Topics: Theoretical and Applied Mechanics, Simulation and Modeling, Computational Science and Engineering, Geotechnical Engineering & Applied Earth Sciences