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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A boundary integral equation method for dynamic crack problems
Jan Sladek,Vladimir Sladek +1 more
TL;DR: In this paper, a vector boundary integral equation formulation is presented for two-dimensional problems of elastodynamics, which is written in a form entirely free of Cauchy principal value integrals.
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Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
Abstract: This paper discusses the formulation and implementation of the symmetric Galerkin boundary integral method for two dimensional linear elastic orthotropic fracture analysis. For the usual case of a traction-free crack, the symmetry of the coefficient matrix can be effectively exploited to significantly reduce the computational work required to construct the linear system. In addition, computation time is reduced by employing efficient analytic integration formulas for the analysis of the orthotropic singular and hypersingular integrals. Preliminary test calculations indicate that the method is both accurate and efficient.
Journal ArticleDOI
Three‐dimensional crack analysis using singular boundary elements
TL;DR: In this paper, a multi-domain method of solving three-dimensional elastic crack problems in an infinite elastic body using the boundary element method is proposed, where displacement and traction behaviors near a crack front are incorporated in special crack elements.
Journal ArticleDOI
Dynamic analysis of 3-D structures by a transformed boundary element method
S. Ahmad,George D. Manolis +1 more
TL;DR: In this article, an advanced implementation of the direct boundary element method applicable to periodic (steadystate) and transient dynamic problems involving three-dimensional structures of arbitrary shape and connectivity is presented.
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Direct boundary integral equations for elastodynamics in 3-D half-spaces
TL;DR: In this article, a vector boundary integral equation (BIE) based on Somigliana's integral formula is presented with Stokes' and Lamb's (half-space) fundamental tensors (Green's functions), for radiation and scattering of time-harmonic elastic waves by bodies embedded in or laying on the surface of a three-dimensional homogeneous, isotropic, linear-elastic half-space.
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.