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A boundary integral equation method for radiation and scattering of elastic waves in three dimensions

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TLDR
Etude du rayonnement et de la diffusion d'ondes elastiques par des obstacles de forme arbitraire as discussed by the authors, a.k.a.
Abstract
Etude du rayonnement et de la diffusion d'ondes elastiques par des obstacles de forme arbitraire

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Book

Integral Equation Methods for Electromagnetic and Elastic Waves

TL;DR: Important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research.
Journal ArticleDOI

A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method

TL;DR: In this article, a general method for the direct evaluation of Cauchy principal value integrals in several dimensions is presented, which is an issue of major concern in any boundary element method analysis in applied mechanics.
Journal ArticleDOI

Vibration isolation using open or filled trenches

TL;DR: In this article, the problem of structural isolation from ground transmitted vibrations by open or infilled trenches under conditions of plane strain is numerically studied, where the soil medium is assumed to be linear elastic or viscoelastic, homogeneous and isotropic.
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A 2.5D coupled FE-BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace

TL;DR: In this paper, a 2.5D coupled finite element-boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines is presented.
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Vibration isolation using open or filled trenches Part 2: 3-D homogeneous soil

TL;DR: In this article, the isolation of structures from ground transmitted waves by open and infilled trenches in a 3D context is numerically studied, where the soil medium is assumed to be elastic or viscoelastic, homogeneous and isotropic.
References
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Journal ArticleDOI

Scattering of Plane Compressional Waves by a Spherical Obstacle

TL;DR: In this article, the authors examined the scattering of plane compressional waves by a spherical obstacle in an elastic solid, which was investigated by Ying and Truell, and showed that the rates of energy scattering due to a small rigid obstacle (a«λ) are inversely proportional to the fourth power of wavelength.
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A formulation and solution procedure for the general non-homogeneous elastic inclusion problem

TL;DR: A new formulation for the title problem, based on a fundamental solution of the equations of linear elasticity theory is described and exploited in this article, which is applicable without inherent restriction as to number, shape, and material composition of the inclusions which are embedded, in general, in a finite material matrix.
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A comparative study on three boundary element method approaches to problems in elastodynamics

TL;DR: In this paper, three boundary element method approaches are compared by solving a typical problem in linear elastodynamics and a detailed tabulation of the computer time and memory requirements of each approach is presented.
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Dynamic response of lined tunnels by an isoparametric boundary element method

TL;DR: In this paper, the authors investigated the dynamic stress concentration in the lining of a circular cylindrical tunnel excavated in a linear elastic or viscoelastic medium of infinite extent under conditions of plane strain.
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