Alternative spatial behaviour in the incompressible linear elastic prismatic constrained cylinder

Research output: Contribution to journalArticle

Abstract

Differential inequalities are derived for two cross-sectional energy fluxes. Integration establishes exponential growth and decay estimates for the cross-sectional mean square displacement, displacement gradient and pressure. The conclusions relate to Saint-Venant's principle for an incompressible elastic cylinder and more generally to the Phragmen-Lindelof principle and Liouville's theorem. Other contributions to the literature are briefly noted.

Original languageEnglish
Pages (from-to)111-128
Number of pages18
JournalJournal of Engineering Mathematics
Volume37
Issue number1-3
Publication statusPublished - Feb 2000

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Saint-Venant's Principle
Liouville's theorem
Lindelöf
Decay Estimates
Alternatives
Differential Inequalities
Exponential Growth
Exponential Decay
Mean Square
Gradient
Energy

Keywords

  • Incompressible linear elasticity
  • Saint-Venant's principle
  • Spatial behaviour

Cite this

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title = "Alternative spatial behaviour in the incompressible linear elastic prismatic constrained cylinder",
abstract = "Differential inequalities are derived for two cross-sectional energy fluxes. Integration establishes exponential growth and decay estimates for the cross-sectional mean square displacement, displacement gradient and pressure. The conclusions relate to Saint-Venant's principle for an incompressible elastic cylinder and more generally to the Phragmen-Lindelof principle and Liouville's theorem. Other contributions to the literature are briefly noted.",
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Alternative spatial behaviour in the incompressible linear elastic prismatic constrained cylinder. / Knops, R. J.

In: Journal of Engineering Mathematics, Vol. 37, No. 1-3, 02.2000, p. 111-128.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Alternative spatial behaviour in the incompressible linear elastic prismatic constrained cylinder

AU - Knops, R. J.

PY - 2000/2

Y1 - 2000/2

N2 - Differential inequalities are derived for two cross-sectional energy fluxes. Integration establishes exponential growth and decay estimates for the cross-sectional mean square displacement, displacement gradient and pressure. The conclusions relate to Saint-Venant's principle for an incompressible elastic cylinder and more generally to the Phragmen-Lindelof principle and Liouville's theorem. Other contributions to the literature are briefly noted.

AB - Differential inequalities are derived for two cross-sectional energy fluxes. Integration establishes exponential growth and decay estimates for the cross-sectional mean square displacement, displacement gradient and pressure. The conclusions relate to Saint-Venant's principle for an incompressible elastic cylinder and more generally to the Phragmen-Lindelof principle and Liouville's theorem. Other contributions to the literature are briefly noted.

KW - Incompressible linear elasticity

KW - Saint-Venant's principle

KW - Spatial behaviour

M3 - Article

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JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

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