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:
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Citations
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Dynamic soil–structure interaction of coupled shear walls by boundary element method
TL;DR: In this article, a discrete model for the analysis of the dynamic interaction with the underlying soil is proposed for a class of civil engineering structures, that can be accurately represented by Coupled Shear Walls (CSWs).
Journal ArticleDOI
Theoretical basis of regularized integral equations for elastostatic crack problems
TL;DR: In this paper, the weak singularity of the potential theory for statical crack problems is proved and the kernel of the regularized integral equation is written in terms of the density, equal to the displacement discontinuity on the crack surface.
Book ChapterDOI
Overcoming Nonuniqueness in the Direct BIEM for Three-Dimensional Steady-State Exterior Elastodynamic Problems
TL;DR: In this paper, the nonuniqueness in the solution of three-dimensional steady-state elastodynamic transmission problems by the direct Boundary Integral Equation Method (BIEM) at "irregular" frequencies is investigated.
Journal ArticleDOI
A general regularization of the hypersingular integrals in the symmetric Galerkin boundary element method
TL;DR: In this article, a regularization of the hypersingular integrals which depend only on the properties of Green's tensor is presented in the case of Laplace's operator, with an example of application.
Journal ArticleDOI
Early Development of the BEM at the University of Kentucky
TL;DR: Rizzo as discussed by the authors was one of the great privileges and pleasures of my life and developed an immense respect for Frank's vision, his creativity, his care in being clear, complete and accurate, and his understanding of the foundations of solid mechanics.
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.