On Saint-Venant's principle for a homogeneous elastic arch-like region

DOI10.1007/S10659-005-9008-2zbMath1090.74021OpenAlexW2021579536MaRDI QIDQ2494240

Stan Chiriţă

Publication date: 26 June 2006

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

Full work available at URL: https://doi.org/10.1007/s10659-005-9008-2

zbMATH Keywords

biharmonic equationAiry stress functioncross-sectional integral function

Mathematics Subject Classification ID

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

Related Items (3)

End effects for a generalized biharmonic equation with applications to functionally graded materials ⋮ On Saint-Venant's principle in a poroelastic arch-like region ⋮ On a new method for the study of the spatial behavior in a homogeneous elastic arch-like region

Cites Work

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• An energy estimate for the biharmonic equation and its application to Saint-Venant's principle in plane elastostatics
• Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip
• Some Phragmén-Lindelöf type results for the biharmonic equation
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows
• Recent Developments Concerning Saint-Venant's Principle
• CONVEXITY CONSIDERATIONS FOR THE BIHARMONIC EQUATION IN PLANE POLARS WITH APPLICATIONS TO ELASTICITY
• Spatial Decay Estimates in Time-Dependent Stokes Flow
• On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics

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