Journal ArticleDOI
A boundary integral equation method for radiation and scattering of elastic waves in three dimensions
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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 arbitraireread more
Citations
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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
Massimo Guiggiani,A. Gigante +1 more
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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
An advanced boundary integral equation method for three‐dimensional thermoelasticity
Frank J. Rizzo,D. J. Shippy +1 more
TL;DR: In this paper, the features of an advanced numerical solution capability for boundary value problems of linear, homogeneous, isotropic, steady-state thermoelasticity theory are outlined.
Journal ArticleDOI
Green'sFunction for Lamb'sProblem
TL;DR: In this article, the complete solution to the Lamb's problem was derived using the Cagniard-de Hoop method, and spatial derivatives of this solution with respect to both the source and receiver co-ordinates were derived.
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Boundary integral solutions of three dimensional acoustic radiation problems
TL;DR: In this article, the authors developed a procedure for generating the sound fields radiated by arbitrarily shaped, three dimensional bodies from an integral representation of the solutions of the Helmholtz equation.
Journal ArticleDOI
Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium
TL;DR: In this paper, an analysis of the scattering of transverse elastic waves by spherical obstacles is presented, where the scatterer is taken to be (a) a cavity, (b) a rigid sphere, (c) a fluid-filled cavity, and (d) to consist of an elastic material with properties different from those of the surrounding material.
Journal ArticleDOI
On the exterior problems of acoustics
TL;DR: In this paper, the authors prove the existence of exterior solutions at expected frequencies, but the proof involves a detailed and complicated study of the interior solutions, which is physically evident that this difficulty arises from the method of solution and not from the nature of the problem.