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

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10.1016/j.ijengsci.2008.10.011

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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",

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

language = "English",

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journal = "International Journal of Engineering Science",

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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 - https://www.scopus.com/pages/publications/71949103446

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

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