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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A first-order k-space model for elastic wave propagation in heterogeneous media.
TL;DR: A perfectly matched layer (PML) absorbing boundary condition was developed to effectively impose a radiation condition on the wavefield and the staggered grid, which is essential for accurate simulations, is described, along with other practical details of the implementation.
Journal ArticleDOI
Modelling of dynamical crack propagation using time-domain boundary integral equations
TL;DR: In this article, the boundary integral equation method (BIEM) is used to model the displacement discontinuity (COD) of a crack as a function of stress on the crack.
Journal ArticleDOI
Discrete Wave‐Number Boundary‐Element Method for 3‐D Scattering Problems
TL;DR: In this article, the discrete wave-number boundary element method is extended to apply to three-dimensional elastodynamic problems, and the responses of a hemispherical canyon for incident SH, SV, and P waves are presented in time domain as well as in frequency domain.
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A new BEM formulation for the acoustic eigenfrequency analysis
Journal ArticleDOI
The evaluation of cauchy principal value integrals in the boundary element method-a review
TL;DR: Several methods of dealing with Cauchy Principal Value integrals in advanced boundary element methods are discussed and compared in this paper, and an attempt is made to present a comprehensive description of these methods in a unified, systematic manner.
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.