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 ChapterDOI
BIE Calculations for Harmonic Waves in a Solid with Periodically Distributed Inhomogeneities
M. Kitahara,J. D. Achenbach +1 more
TL;DR: In this paper, a general formulation of boundary integral equations on the surface of a spherical elastic inclusion, which is embedded in an elastic solid of different mechanical properties, has been given for the displacement and tractions when the inclusion is subjected to incidence of a plane harmonic wave.
Journal ArticleDOI
Unified boundary integral equation for the scattering of elastic and acoustic waves: solution by the method of moments
Mei Song Tong,Weng Cho Chew +1 more
TL;DR: In this article, a unified boundary integral equation (BIE) is developed for the scattering of elastic and acoustic waves, and the authors derive the unified BIE for these two waves and then show that the acoustic wave case can be derived from this BIE by introducing a shielding loss for small shear modulus approximation.
Journal ArticleDOI
A new global and direct integral formulation for 2D potential problems
TL;DR: In this paper, a new non-singular boundary integral equation (NSBIE) with indirect unknowns was developed in association with the average source technique without using the equi-potential method for source singularity.
Journal ArticleDOI
Frank Rizzo and boundary integral equations
TL;DR: Rizzo as mentioned in this paper was a pioneer in boundary integral equation methods and developed theory and algorithms for many problems of engineering interest, including many of the problems of the present paper, and a list of publications is included.
Journal ArticleDOI
La Théorie Variationnelle des Rayons Complexes pour le calcul des vibrations moyennes fréquences
TL;DR: In this article, a new approach named the "Variational Theory of Complex Rays" (VTRC) was introduced for computing the vibrations of elastic structures weakly damped in the medium frequency range and the effective quantities (elastic energy, vibration intensity…) were evaluated after computing a small system of equations which does not derive from a finite element dicretization of the structure.
References
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Journal ArticleDOI
On the Propagation of Tremors over the Surface of an Elastic Solid
TL;DR: In this paper, the propagation of vibrations over the surface of a "semi-infinite" isotropic elastic solid, i.e., a solid bounded only by a plane, is considered.
Journal ArticleDOI
Improved Integral Formulation for Acoustic Radiation Problems
TL;DR: In this article, a combined Helmholtz Integral Equation Formulation (CHIEF) was proposed to obtain an approximate solution of the exterior steadystate acoustic radiation problem for an arbitrary surface whose normal velocity is specified.
Journal ArticleDOI
Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
TL;DR: An accurate method is presented for the numerical inversion of Laplace transform, which is a natural continuation to Dubner and Abate's method, and the error bound on the inverse f{t) becomes independent of t, instead of being exponential in t.
Journal ArticleDOI
An integral equation approach to boundary value problems of classical elastostatics
TL;DR: In this paper, a vector boundary formula relating the boundary values of displacement and traction for the general equilibrated stress state is derived, which is used to generate integral equations for the solution of the traction, displacement, and mixed boundary value problems of plane elasticity.
Journal ArticleDOI
Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics
J. C. Lachat,J. O. Watson +1 more
TL;DR: In this paper, the elastic body is divided into subregions, and the surface and interfaces are represented by quadrilateral and triangular elements with quadratic variation of geometry.