Journal ArticleDOI
A boundary integral equation method for radiation and scattering of elastic waves in three dimensions
Reads0
Chats0
TLDR
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
More filters
Journal ArticleDOI
An enhanced CHIEF method for steady-state elastodynamics
TL;DR: In this article, an enhanced combined Helmholtz integral equation formulation (CHIEF) method is applied to the boundary integral formulation in steady-state elastodynamics to overcome the well-known nonuniqueness difficulty.
Journal ArticleDOI
Short communication: The generalized finite difference method for electroelastic analysis of 2D piezoelectric structures
TL;DR: In this article, the meshless generalized finite difference method (GFDM) was applied for the electroelastic analysis of piezoelectric structures, where the entire computational domain is represented by a cloud of scattered nodes and the field variables are interpolated in terms of the values of nodes in its supporting domain based on the local Taylor series expansion and the moving least squares approximation.
Journal ArticleDOI
Boundary element method for calculation of elastic wave transmission in two-dimensional phononic crystals
TL;DR: In this paper, a boundary element method (BEM) is presented to compute the transmission spectra of two-dimensional (2-D) phononic crystals of a square lattice which are finite along the x-direction and infinite along the y-direction.
Journal ArticleDOI
3D boundary elements and the integration of strong singularities
TL;DR: In this paper, the strong singularities that are present in 3D static elasticity when the source point is within the element are removed before numerical integration through the use of a local polar system and the shape functions.
Book ChapterDOI
State-of-the-Art for the BIEM
Abstract: In this chapter, general remarks about the BIEM, fundamental solutions, and modern computational techniques for inhomogeneous 2D elastic domains are discussed, together with applications to seismic wave propagation problems. More specifically, a closer look with scales of hundreds of km reveals the Earth is both strongly inhomogeneous with a sharp gradient of variation of its material properties and also heterogeneous due to the existence of free and subsurface relief, non-parallel layers , cavities, inclusions, cracks and faults, and finally underground engineering constructions. The Earth’s varying surface geology, the existence of a geomaterial depth-dependent gradient, of topography, and of nonlinear stress–strain states in the general geological region of interest, is the cause of significant spatial variations of seismic ground motion that can lead to large amplifications during earthquakes. A quantitative prediction of strong ground motion manifestation at a given site involves dealing with the source of seismic waves, their path to that site, and the effects of local conditions. A possible way of shedding some light on the understanding of the site-response phenomena and their sensitivity to the type and properties of the seismic source, of inhomogeneity and heterogeneity in the wave path, is in developing high-performance numerical methods for the simulation of seismic wave propagation phenomena.
References
More filters
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.