On Saint-Venant's Principle for an Inhomogeneous Curvilinear Rectangle

DOI10.1177/1081286505055473zbMath1133.74015OpenAlexW2044000654MaRDI QIDQ5457293

Gerardo Iovane

Publication date: 14 April 2008

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

Full work available at URL: https://doi.org/10.1177/1081286505055473

zbMATH Keywords

biharmonic equationsAiry stress functionenergetic measure

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Inhomogeneity in solid mechanics (74E05)

Cites Work

• Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip
• End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip
• On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip
• Some Phragmén-Lindelöf type results for the biharmonic equation
• Spatial-decay estimates for a generalized biharmonic equation in inhomogeneous elasticity
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials
• Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows
• CONVEXITY CONSIDERATIONS FOR THE BIHARMONIC EQUATION IN PLANE POLARS WITH APPLICATIONS TO ELASTICITY
• Spatial decay of transient end effects in functionally graded heat conducting materials
• On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics
• Saint-Venant End Effects in Antiplane Shear for Functionally Graded Linearly Elastic Materials

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