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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An elastodynami`c hybrid boundary element study for elastic guided wave interactions with a surface breaking defect
Younho Cho,Joseph L. Rose +1 more
TL;DR: In this article, a hybrid boundary element method (BEM) and Lamb wave normal mode expansion (LWME) were used for defect characterization and sizing analysis, and the theoretical analysis was used to establish efficient guidelines for both data acquisition and feature selection in a pattern recognition analysis program of study.
Journal ArticleDOI
Symmetric Galerkin boundary integral formulation for interface and multi-zone problems
TL;DR: In this article, a symmetric Galerkin boundary integral method is proposed to solve the problem of a bi-material interface, where the physical quantities are known to satisfy continuity conditions across the interface, but no boundary conditions are specied.
Journal ArticleDOI
The variational theory of complex rays for the calculation of medium‐frequency vibrations
TL;DR: In this paper, a new approach called the "variational theory of complex rays" (VTCR) is developed for calculating the vibrations of weakly damped elastic structures in the medium frequency range.
Journal ArticleDOI
Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity
TL;DR: In this article, a symmetric variational regularized BIE formulation for the mixed elastostatic boundary-value problem is presented, where the displacement and tractions are expressed using weakly singular integrals followed by regular integrals, by means of a combined use of indirect regularization and Stokes theorem.
Journal ArticleDOI
Seismic soil-structure interaction analysis by direct boundary element methods
Ronald Y. S. Pak,Bojan B. Guzina +1 more
TL;DR: In this article, a regularized form of the conventional direct boundary integral equation formulation for three-dimensional elastodynamics is presented for a general anisotropic medium, based on a full decomposition of the Greens functions into regular and singular parts.
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.