A Boundary-Field Formulation for Elastodynamic Scattering
نویسندگان
چکیده
An incoming elastodynamic wave impinges on an elastic obstacle is embedded in infinite medium. The objective of the paper to examine subsequent fields scattered by and transmitted into obstacle. By applying a boundary-field equation method, we are able formulate nonlocal boundary problem (NBP) Laplace transformed domain, using field equations inside integral exterior Existence, uniqueness stability solutions NBP established Sobolev spaces for two different representations. corresponding results time domain obtained. bounds translated estimates that can serve as starting point numerical discretization based Convolution Quadrature.
منابع مشابه
Solvability of a Volume Integral Equation Formulation for Anisotropic Elastodynamic Scattering
This article investigates the solvability of volume integral equations arising in elastodynamic scattering by penetrable obstacles. The elasticity tensor and mass density are allowed to be smoothly heterogeneous inside the obstacle and may be discontinuous across the background-obstacle interface, the background elastic material being homogeneous. Both materials may be anisotropic, within certa...
متن کاملA General Boundary-Integral Formulation for Zoned Three-Dimensional Media
A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...
متن کاملWave chaos in elastodynamic cavity scattering
– The exact elastodynamic scattering theory is constructed to describe the spectral properties of twoand morecylindrical cavity systems, and compared to an elastodynamic generalization of the semi-classical Gutzwiller unstable periodic orbits formulas. In contrast to quantum mechanics, complex periodic orbits associated with the surface Rayleigh waves dominate the low-frequency spectrum, and al...
متن کاملA Novel Field Scattering Formulation for Polarimetric Synthetic Aperture Radar: 3d Scattering and Stokes Vectors
Conventional Far-field decomposition of the scattered electromagnetic (EM) field in the [EH] plane in terms of the horizontal and vertical components (i.e., h, v), introduces ambiguity for multistatic, multi-platform and/or scene-centric polarimetric synthetic aperture radar (SAR) image exploitation. This is due to the fact that a 2-dimensional (2D) vector field can not constitute a complete sp...
متن کاملA Robust Multi-Scale Field-Only Formulation of Electromagnetic Scattering
We present a boundary integral formulation of electromagnetic scattering by homogeneous bodies that are characterized by linear constitutive equations in the frequency domain. By working with the Cartesian components of the electric, E and magnetic, H fields and with the scalar functions (r ·E) and (r ·H), the problem can be cast as having to solve a set of scalar Helmholtz equations for the fi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2022
ISSN: ['0374-3535', '1573-2681']
DOI: https://doi.org/10.1007/s10659-022-09964-7