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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Helmholtz Decomposition and Boundary Element Method applied to Dynamic Linear Elastic Problems
TL;DR: In this paper, the displacement field for 3D dynamic elasticity problems in the frequency domain can be decomposed into a sum of a longitudinal and a transversal part known as a Helmholtz decomposition.
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Direct approach to seismic soil – structure–interaction analysis – building group case
TL;DR: In this article, the seismic response of an idealized small city composed of five equally spaced, five storey reinforced concrete buildings anchored in a soft soil layer overlaid by a rock half-space was analyzed.
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Scattering of monochromatic elastic waves on a planar crack of arbitrary shape
TL;DR: In this paper, the 2D-integral equation for the crack opening vector is discretized by Gaussian approximating functions, and the elements of the matrix have forms of standard one-dimensional integrals that can be tabulated.
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A general boundary‐integral formulation for zoned three‐dimensional media
TL;DR: In this article, a new boundary-integral formulation is proposed to analyse the heat transfer in zoned three-dimensional geometries, which couples the boundary formula, the gradient of boundary formula and the exterior formula.
Site effects on 3d elevated topography
Didier Clouteau,Denis Aubry +1 more
TL;DR: In this paper, the authors tried to quantify the topographic effects and evaluate the differences between 2D and 3D responses for mountains having ellipsoidal shapes using Boundary Element Method with the Green functions of the half-space and a substructuring technique.
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.
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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.
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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.