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Seismic wave propagation in non-homo...

Manolis, George D.

Seismic wave propagation in non-homogeneous elastic media by boundary elements

Record Type:	Electronic resources : Monograph/item
Title/Author:	Seismic wave propagation in non-homogeneous elastic media by boundary elementsby George D. Manolis ... [et al.].
other author:	Manolis, George D.
Published:	Cham :Springer International Publishing :2017.
Description:	xvi, 294 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Boundary element methods.
Online resource:	http://dx.doi.org/10.1007/978-3-319-45206-7
ISBN:	9783319452067$q(electronic bk.)

Seismic wave propagation in non-homogeneous elastic media by boundary elements
Seismic wave propagation in non-homogeneous elastic media by boundary elements[electronic resource] /by George D. Manolis ... [et al.]. - Cham :Springer International Publishing :2017. - xvi, 294 p. :ill., digital ;24 cm. - Solid mechanics and its applications,v.2400925-0042 ;. - Solid mechanics and its applications ;v. 152..

Introduction -- Theoretical foundations -- Elastodynamic problem formulation -- Fundamental solutions -- Green's function -- Free-field motion -- Time-harmonic wave propagation in inhomogeneous and heterogeneous regions: The anti-plane strain case -- The anti-pane strain wave motion -- Anti-plane strain wave motion in finite inhomogeneous media -- In plane wave motion in unbounded cracked inhomogeneous media -- Site effects in finite geologicall region due to wave path inhomogeneity -- Wave scattering in a laterally inhomogeneous, cracked poroelastic finite region -- Index.

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.

ISBN: 9783319452067$q(electronic bk.)

Standard No.: 10.1007/978-3-319-45206-7doiSubjects--Topical Terms:

208685
Boundary element methods.

LC Class. No.: TA347.B69

Dewey Class. No.: 620.00151

Seismic wave propagation in non-homogeneous elastic media by boundary elements
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490 1 $a Solid mechanics and its applications, $x 0925-0042 ; $v v.240
505 0 $a Introduction -- Theoretical foundations -- Elastodynamic problem formulation -- Fundamental solutions -- Green's function -- Free-field motion -- Time-harmonic wave propagation in inhomogeneous and heterogeneous regions: The anti-plane strain case -- The anti-pane strain wave motion -- Anti-plane strain wave motion in finite inhomogeneous media -- In plane wave motion in unbounded cracked inhomogeneous media -- Site effects in finite geologicall region due to wave path inhomogeneity -- Wave scattering in a laterally inhomogeneous, cracked poroelastic finite region -- Index.
520 $a 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.
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