CONVEXITY CONSIDERATIONS FOR THE BIHARMONIC EQUATION IN PLANE POLARS WITH APPLICATIONS TO ELASTICITY

DOI10.1093/QJMAM/45.4.555zbMath0777.73008OpenAlexW2020212160MaRDI QIDQ4201794

James N. Flavin

Publication date: 29 August 1993

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/45.4.555

zbMATH Keywords

plane stressself-equilibrated loadarch-like regionscross-section measure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (8)

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 ⋮ Conservation properties for plane deformations of anisotropic linearly elastic curved strips ⋮ On a new method for the study of the spatial behavior in a homogeneous elastic arch-like region ⋮ On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics

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