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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DissertationDOI
Application of displacement and traction boundary integral equations for fracture mechanics analysis
Journal ArticleDOI
An adaptive binary-tree element subdivision method for evaluation of volume integrals with continuous or discontinuous kernels
TL;DR: In this article , an adaptive binary-tree element subdivision method (BTSM) was proposed to evaluate the volume integrals with continuous or discontinuous kernels to facilitate automatic and high-quality patch generation.
Book ChapterDOI
Time-Harmonic Elastic-Wave Scattering: The Role of Hypersingular Boundary Integral Equations
G. Krishnasamy,F. J. Rizzo +1 more
TL;DR: In this article, a hypersingular boundary integral formula for elastic wave scattering from cracks is presented. But it is not shown how to derive the appropriate hyperingular formulas, needed for a formulation for elastodynamic scattering from any void shape, valid at all frequencies, may be derived from the hyper-ingular formula for cracks.
Journal ArticleDOI
Optimal shape design of a floating body for minimal water wave forces
Dooho Lee,I Son +1 more
TL;DR: This study tries to find an optimal shape for a floating body that gives minimal water wave excitation forces for a given water wave over a predefined frequency band using high-order boundary-element analysis software.
Book ChapterDOI
Flaw Characterization and Sizing Using Sensitivity Analysis and the Boundary Element Method
TL;DR: In this paper, the authors proposed a means of solving the inverse problem which combines numerical optimization, the boundary element method and shape sensitivity analysis, which minimizes the error between the computed and the experimentally measured scattered field by appropriately redefining the shape parameters.
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.