3D heterogeneous staggered-grid finite-difference modeling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities

P Moczo, J Kristek, V Vavrycuk… - Bulletin of the …, 2002 - pubs.geoscienceworld.org
We analyze the problem of a heterogeneous formulation of the equation of motion and
propose a new 3D fourth-order staggered-grid finite-difference (FD) scheme for modeling …

Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review

GD Manolis, PS Dineva - Soil Dynamics and Earthquake Engineering, 2015 - Elsevier
In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

Fundamental solutions in 3D elastodynamics for the BEM: A review

PS Dineva, GD Manolis, F Wuttke - Engineering Analysis with Boundary …, 2019 - Elsevier
In this work, we attempt to collect all available fundamental solutions in 3D elastodynamics
that would be suitable for use in Boundary Element Method (BEM) formulations. Given that …

Attenuated orthotropic time-domain half-space BEM for SH-wave scattering problems

S Mojtabazadeh-Hasanlouei, M Panji… - Geophysical Journal …, 2022 - academic.oup.com
In this paper, the complete formulation of the attenuated orthotropic time-domain half-space
boundary element method was proposed to analyse the transient SH-wave scattering …

Scattering attenuation of transient SH-wave by an orthotropic gaussian-shaped sedimentary basin

S Mojtabazadeh-Hasanlouei, M Panji… - Engineering Analysis with …, 2022 - Elsevier
The surface motion of an orthotropic Gaussian-shaped sedimentary basin embedded in a
linear elastic half-space was successfully obtained under transient SH-wave propagation. In …

[HTML][HTML] Modelling and analysis of the dynamic behavior of inhomogeneous continuum containing a circular inclusion

B Hei, Z Yang, B Sun, Y Wang - Applied Mathematical Modelling, 2015 - Elsevier
Based on the complex function theory, an universal approach of solving the dynamic stress
concentration around a circular inclusion in two-dimensional (2D) inhomogeneous medium …

Elastodynamic fundamental solutions for certain families of 2d inhomogeneous anisotropic domains: basic derivations

TV Rangelov, GD Manolis, PS Dineva - European Journal of Mechanics-A …, 2005 - Elsevier
The existence of frequency-dependent fundamental solutions for anisotropic,
inhomogeneous continua under plane strain conditions is a necessary pre-requisite for …

Wave propagation in an inhomogeneous cross‐anisotropic medium

CD Wang, YT Lin, YS Jeng… - International Journal for …, 2010 - Wiley Online Library
Analytical solutions for wave velocities and wave vectors are yielded for a continuously
inhomogeneous cross‐anisotropic medium, in which Young's moduli (E, E′) and shear …

On modelling SH‐waves in a class of inhomogeneous anisotropic media via the Boundary Element Method

CH Daros - ZAMM‐Journal of Applied Mathematics and …, 2010 - Wiley Online Library
We present here a Boundary Element Method (BEM) implementation for SH harmonic
waves in a class of inhomogeneous anisotropic media. The inhomogeneity is assumed to be …

Diffraction of seismic waves in an elastic, cracked halfplane using a boundary integral formulation

A Rodríguez-Castellanos, F Luzón… - Soil Dynamics and …, 2005 - Elsevier
The presence of subsurface cracks in a halfspace excited by elastic waves may give rise to
scattered body and surface waves. For many engineering applications, such as non …