𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New results for guided waves in heterogeneous elastic media

✍ Scribed by Patrick Joly; Ricardo Weder

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
576 KB
Volume
15
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We prove the existence of guided waves propagating with a velocity strictly larger than the S (shear) wave velocity at infinity in the case of unbounded elastic media invariant under translation in one space direction and asymptotically homogeneous at infinity.

These waves correspond to the existence of eigenvalues embedded in the essential spectrum of the self‐adjoint elastic propagator.

📜 SIMILAR VOLUMES

Superconvergence results for Galerkin me
Superconvergence results for Galerkin methods for wave propagation in various porous media
✍ Zhangxin Chen 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 781 KB

Finite-element methods are considered for numerically solving the equations describing wave propagation in various porous media such as inhomogeneous elastic media, fluid saturated media, composite isotropic inhomogeneous elastic media, composite anisotropic media, etc. Quasiprojection analyses base

Non-local dispersive model for wave prop
Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
✍ Jacob Fish; Wen Chen; Gakuji Nagai 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB

## Abstract Non‐local dispersive model for wave propagation in heterogeneous media is derived from the higher‐order mathematical homogenization theory with multiple spatial and temporal scales. In addition to the usual space–time co‐ordinates, a fast spatial scale and a slow temporal scale are intr

Non-local dispersive model for wave prop
Non-local dispersive model for wave propagation in heterogeneous media: multi-dimensional case
✍ Jacob Fish; Wen Chen; Gakuji Nagai 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 259 KB

## Abstract Three non‐dispersive models in multi‐dimensions have been developed. The first model consists of a leading‐order homogenized equation of motion subjected to the secularity constraints imposing uniform validity of asymptotic expansions. The second, non‐local model, contains a fourth‐orde