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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Nearly Singular and Hypersingular Integrals in the Boundary Element Method
TL;DR: In this paper, several techniques in dealing with nearly singular and hypersingular integrals which arise in applications of the boundary element method (BEM) are studied in this paper.
Book ChapterDOI
Regularization of the Displacement and Traction BIE for 3D Elastodynamics Using Indirect Methods
Marc Bonnet,Huy Duong Bui +1 more
TL;DR: In this article, a survey of indirect regularization techniques for 3D boundary integral equations with singularity exclusion and separate evaluation of strongly singular or hypersingular integrals containing the singular kernel is presented.
Journal ArticleDOI
A Discrete Wavenumber Boundary Element Method for study of the 3‐D response 2‐D scatterers
TL;DR: In this paper, a mathematical formulation of the 2·5D elastodynamic scattering problem is presented and validated, which is a straightforward extension of the Discrete Wave number Boundary Integral Equation Method (DWBIEM) originally proposed by Kawase1 for 2D scattering problems and subsequently extended to the 3D problem by Kim and Papageorgiou.
Journal ArticleDOI
Application of the boundary element method to elastic wave scattering by irregular defects
TL;DR: In this paper, a time-harmonic boundary element formulation for elastic wave scattering in 3D is adapted to ultrasonic NDE, and defect classes addressed are volumetric voids and inclusions, and crack-like elliptical voids.
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.