Journal ArticleDOI
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:
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Citations
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Boundary element simulation of scattering of elastic waves by 3-D cracks
TL;DR: In this article, the authors applied the indirect boundary element method (IBEM) to study scattering of elastic waves by cracks in a homogeneous isotropic medium, and compared results of a penny-shaped crack with the classic results by Mal (1970) obtaining excellent agreement.
Journal ArticleDOI
Transient Scattering of Elastic Waves by Dipping Layers of Arbitrary Shape Part 1: Antiplane Strain Model
TL;DR: In this paper, a plane strain model using a boundary method is investigated for the scattering of elastic waves by dipping layers of arbitrary shape embedded within an elastic half-space, where unknown scattered waves are expressed in the frequency domain in terms of wave functions which satisfy the equations of motion and appropriate radiation conditions at infinity.
Journal ArticleDOI
Analytic evaluation of singular boundary integrals without CPV
Earlin Lutz,Leonard J. Gray +1 more
TL;DR: In this paper, a Cauchy Principal Value (CPV) definition for the singular integral involving the derivative of the Green function is proposed, in terms of a limit to the boundary.
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A hybrid numerical technique, combining the finite-element and boundary-element methods, for modeling the 3D response of 2D scatterers
TL;DR: In this article, a hybrid formulation of the 2.5D elastodynamic scattering problem combining the finite element method and boundary integral equation method is presented and validated, which is used to study the wave field in models of sedimentary deposits or topography with a 2D variation in structure but obliquely incident plane waves.
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.
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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.