Spatial Decay Estimates for the Biharmonic Equation in Plane Polars with Applications to Plane Elasticity

DOI10.1177/1081286506059747zbMath1153.74018OpenAlexW2050770061MaRDI QIDQ3542757

Ciro D' Apice, Stan Chiriţă

Publication date: 1 December 2008

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286506059747

zbMATH Keywords

Saint-Venant's principleAiry stress functionPhragmèn-Lindelöf theoremregion arch

Mathematics Subject Classification ID

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

Cites Work

• Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip
• The Saint-Venant principle in the two-dimensional theory of elasticity and boundary problems for a biharmonic equation in unbounded domains
• Some Phragmén-Lindelöf type results for the biharmonic equation
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• A Saint-Venant principle for the Neumann problem with a nonthin two- dimensional domain
• 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
• Decay Estimates for a Class of Nonlinear Boundary Value Problems in Two Dimensions
• CONVEXITY CONSIDERATIONS FOR THE BIHARMONIC EQUATION IN PLANE POLARS WITH APPLICATIONS TO ELASTICITY
• On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics
• Saint-Venant's principle on unbounded regions

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