Manolis G.D., Dineva P.S., Rangelov T.V., Wuttke F. Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements

Springer International Publishing, Switzerland, 2017. — 301 p. — ISBN: 978-3-319-45205-0This 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.State-of-the-Art for the BIEM
Elastodynamic Problem Formulation
Fundamental Solutions for a Class of Continuously Inhomogeneous, Isotropic, and Anisotropic Materials
Green’s Function for the Inhomogeneous Isotropic Half-Plane
Wave Propagations in Inhomogeneous Isotropic/Orthotropic Half-Planes
Anti-plane Strain Wave Motion in Unbounded Inhomogeneous Media
Anti-plane Strain Wave Motion in Finite Inhomogeneous Media
In-Plane Wave Motion in Unbounded Cracked Inhomogeneous Media
Site Effects in Finite Geological Region Due to Wavepath Inhomogeneity
Wave Scattering in a Laterally Inhomogeneous, Cracked Poroelastic Finite Region