On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics

DOI10.1177/10812865030084001zbMath1098.74584OpenAlexW2050123110MaRDI QIDQ4467270

Barry Gleeson, James N. Flavin

Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1177/10812865030084001

zbMATH Keywords

Saint-Venant principletwo-dimensional elastostaticscurvilinear rectangleSpatial decay

Mathematics Subject Classification ID

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

Related Items (6)

Spatial Decay Estimates for the Biharmonic Equation in Plane Polars with Applications to Plane Elasticity ⋮ 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 Saint-Venant's principle for a homogeneous elastic arch-like region ⋮ On Saint-Venant's Principle for an Inhomogeneous Curvilinear Rectangle ⋮ On a new method for the study of the spatial behavior in a homogeneous elastic arch-like region

Cites Work

• Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip
• The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• CONVEXITY CONSIDERATIONS FOR THE BIHARMONIC EQUATION IN PLANE POLARS WITH APPLICATIONS TO ELASTICITY

This page was built for publication: On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics