Dispersion analysis of numerical approximations to plane wave motions in an isotropic elastic solid
type: Item
instance of: scholarly article
title: Dispersion analysis of numerical approximations to plane wave motions in an isotropic elastic solid
zbMATH Open document ID: 0986.74042
published in: Computational Mechanics
publication date: 2002-06-11T00:00:00Z
review text: The paper investigates the dispersion relation for two-dimensional isotropic elastic medium when passing from (real) continuous case to the discrete case. As is known, for nondispersive medium (such as two-dimensional isotropic continuous one), the phase and group velocity are constant and equal. When the group velocity is no longer constant (when the frequency varies), one says that we deal with a dispersive motion. The author presents some numerical experiments on a discretized two-dimensional dispersive anisotropic medium. As expected, for small wavenumbers (low frequency) the behaviour of dispersive discretized media is close to that of continuous isotropic two-dimensional media.
Mathematics Subject Classification ID: 74J05
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 1455721
zbMATH Keywords: dispersion relation
zbMATH Keywords: discretized two-dimensional dispersive anisotropic medium
zbMATH Keywords: continuous isotropic two-dimensional media
author: H. P. Cherukuri
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
full work available at URL: s004660050480
OpenAlex ID: W2093782283
DOI: 10.1007/S004660050480
description: scientific article; zbMATH DE number 1455721