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

Part of the Solid Mechanics and Its Applications Book Series (volume 240)

DOI: 10.1007/978-3-319-45206-7

ISBN: 978-3-319-45205-0

Publisher: Springer International Publishing - Springer Journals

Sep 24, 2016

1 - 10 of 11 Chapters

LitStream

Chapter 1Introduction

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 1 –5

[This book presents what can be construed as high-performance computational tools based on the 2D BIEM for modelling seismic wave fields and local zones of dynamic stress concentration in both inhomogeneous and heterogeneous geological media]
LitStream

State-of-the-Art for the BIEM

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 9 –52

[In this chapter, general remarks about the BIEM, fundamental solutions, and modern computational techniques for inhomogeneous 2D elastic domainsElasticdomains are discussed, together with applications to seismic wave propagation problems. More specifically, a closer look with scales of hundreds...
LitStream

Elastodynamic Problem Formulation

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 53 –78

[This chapter presents the basic formulation for the elastodynamic field equationsElastodynamicfield equations and the ensuing BVPs for inhomogeneous 2D domains. Furthermore, this formulation is extended in domains with discrete heterogeneities, which includes cavities, inclusions, and cracks.]
LitStream

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

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 79 –100

[In this chapter, we focus on the derivation of time-harmonic fundamental solutions for the general case of anisotropic, inhomogeneous continua under in-planeIn-planeconditions and anti-plane conditionsAnti-planeconditions in closed form using the Radon transformRadon transform. Of course, there...
LitStream

Green’s Function for the Inhomogeneous Isotropic Half-Plane

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 101 –121

[In this chapter, weIsotropichalf-plane continue our quest for the recovery of Green’s functions. More specifically, we focus on in-plane and anti-plane representations of the inhomogeneous in-depth half-plane. The reader will notice that it is possible to reuse fundamental solutions instead, but...
LitStream

Wave Propagations in Inhomogeneous Isotropic/Orthotropic Half-Planes

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 123 –146

[In this chapter, we examine a class of inhomogeneous half-plane dynamic problems and proceed to derive analytical ‘plane-wave’ solutions. More specifically, quadratic and exponential variations of the inhomogeneity in terms of the depth coordinate are considered for both the isotropic and the...
LitStream

Anti-plane Strain Wave Motion in Unbounded Inhomogeneous Media

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 149 –180

[In this chapter, three basic models for SH wave propagation in inhomogeneous domains with exponential or quadratic variation in-depth are considered based on the theoretical developments given in Part I. Thus, numerical results are presented based on BIEM implementation of problems of...
LitStream

Anti-plane Strain Wave Motion in Finite Inhomogeneous Media

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 181 –209

[In this chapter, we continue our BIEM implementation to cover seismically induced anti-plane strainAnti-planestrain wave motion in an inhomogeneous geological regionGeologicalregion containing tunnels. This category of problems is best approached by developing the hybrid numerical techniques, in...
LitStream

In-Plane Wave Motion in Unbounded Cracked Inhomogeneous Media

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 213 –245

[InIn-planewave motion this chapter, elastic wave scatteringElasticwave scattering by cracks in inhomogeneous geological continua with quadratically or exponentially varying material parameters and under conditions of plane strain is studied. A restricted case of inhomogeneity is considered,...
LitStream

Site Effects in Finite Geological Region Due to Wavepath Inhomogeneity

Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko V.; Wuttke, Frank

Pages: 247 –264

[The time-harmonic response of a multilayered soil deposit resting on the elastic half-planeElastichalf-plane under the influence of incoming pressure and shear waves is numerically investigated by a hybrid boundary integral equation-plane wave decomposition method in this chapter. The...

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