The effect of a variation in the elastic moduli on Saint-Venant's principle for a half-cylinder

DOI10.1007/BF00042476zbMath0890.73014OpenAlexW2017639495MaRDI QIDQ1370474

Lawrence E. Payne, Robin J. Knops

Publication date: 26 October 1997

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042476

zbMATH Keywords

decay estimatesfirst-order differential inequalitysemi-infinite prismatic cylinderlinear anisotropic elastic materialmodifications of Korn's inequalitiesmultiplicative factorperturbed elastic moduli

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Saint-Venant's principle (74G50)

Related Items (4)

Spatial stability in linear thermoelasticity ⋮ Fast spatial behavior in higher order in time equations and systems ⋮ Spatial decay in transient heat conduction for general elongated regions ⋮ Continuous dependence on elastic moduli in the motion of a semi-infinite elastic cylinder

Cites Work

• Note on a lemma of Finn and Gilbar
• Some inequalities for vector functions with applications in elasticity
• Decay estimates for the constrained elastic cylinder of variable cross section
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