Continuous dependence on elastic moduli in the motion of a semi-infinite elastic cylinder

R. J. KNOPS, R Quintanilla

Research output: Contribution to journalArticle

Abstract

Continuous dependence upon the elastic moduli of the total energy, and consequently in appropriate measure of the stress, strain and displacement, is established in the initial boundary value problem defined on a semi-infinite cylinder occupied by a linear anisotropic compressible elastic material. Free, constrained and mixed boundary conditions on the lateral surface of the cylinder are discussed. The conclusions are obtained using differential inequalities and partly depend upon previously published results.

Original languageEnglish
Pages (from-to)347-363
Number of pages17
JournalEuropean Journal of Applied Mathematics
Volume22
Issue number04
DOIs
Publication statusPublished - Aug 2011

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Continuous Dependence
Elastic Modulus
Motion
Mixed Boundary Conditions
Elastic Material
Differential Inequalities
Initial-boundary-value Problem
Lateral
Energy

Cite this

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abstract = "Continuous dependence upon the elastic moduli of the total energy, and consequently in appropriate measure of the stress, strain and displacement, is established in the initial boundary value problem defined on a semi-infinite cylinder occupied by a linear anisotropic compressible elastic material. Free, constrained and mixed boundary conditions on the lateral surface of the cylinder are discussed. The conclusions are obtained using differential inequalities and partly depend upon previously published results.",
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Continuous dependence on elastic moduli in the motion of a semi-infinite elastic cylinder. / KNOPS, R. J.; Quintanilla, R.

In: European Journal of Applied Mathematics, Vol. 22, No. 04, 08.2011, p. 347-363.

Research output: Contribution to journalArticle

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AB - Continuous dependence upon the elastic moduli of the total energy, and consequently in appropriate measure of the stress, strain and displacement, is established in the initial boundary value problem defined on a semi-infinite cylinder occupied by a linear anisotropic compressible elastic material. Free, constrained and mixed boundary conditions on the lateral surface of the cylinder are discussed. The conclusions are obtained using differential inequalities and partly depend upon previously published results.

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