Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder

R. J. Knops; R Quintanilla

doi:10.1016/j.ijengsci.2008.10.011

Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder

R. J. Knops, R Quintanilla

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. © 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1265-1273
Number of pages	9
Journal	International Journal of Engineering Science
Volume	47
Issue number	11-12
DOIs	https://doi.org/10.1016/j.ijengsci.2008.10.011
Publication status	Published - Nov 2009

Keywords

Continuous dependence
Elasticity
Initial time geometry

Access to Document

10.1016/j.ijengsci.2008.10.011

Cite this

@article{761c8969056942ec9ee1256400f95cd8,

title = "Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder",

abstract = "Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

keywords = "Continuous dependence, Elasticity, Initial time geometry",

author = "Knops, {R. J.} and R Quintanilla",

year = "2009",

month = nov,

doi = "10.1016/j.ijengsci.2008.10.011",

language = "English",

volume = "47",

pages = "1265--1273",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

publisher = "Elsevier Ltd",

number = "11-12",

}

TY - JOUR

T1 - Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder

AU - Knops, R. J.

AU - Quintanilla, R

PY - 2009/11

Y1 - 2009/11

N2 - Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. © 2008 Elsevier Ltd. All rights reserved.

AB - Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. © 2008 Elsevier Ltd. All rights reserved.

KW - Continuous dependence

KW - Elasticity

KW - Initial time geometry

UR - http://www.scopus.com/inward/record.url?scp=71949103446&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2008.10.011

DO - 10.1016/j.ijengsci.2008.10.011

M3 - Article

SN - 0020-7225

VL - 47

SP - 1265

EP - 1273

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 11-12

ER -

Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this