Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes

DOI<187::AID-MMA941>3.0.CO;2-H 10.1002/(SICI)1099-1476(199802)21:3<187::AID-MMA941>3.0.CO;2-HzbMath0935.35038OpenAlexW1965583603MaRDI QIDQ4386011

Juan M. Viaño, José M. Rodríguez

Publication date: 4 May 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199802)21:3<187::aid-mma941>3.0.co;2-h

zbMATH Keywords

profilePoisson's equationthin-walled elastic beams and tubes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Coupled local/nonlocal models in thin domains ⋮ Asymptotic derivation of a general linear model for thin-walled elastic rods ⋮ Mathematical justification of Kelvin-Voigt beam models by asymptotic methods ⋮ On the Variational Derivation of the Kinematics for Thin-Walled Closed Section Beams ⋮ An asymptotic approach to the torsion problem in thin walled beams ⋮ ANALYSIS OF A DIFFUSE INTERFACE APPROACH TO AN ADVECTION DIFFUSION EQUATION ON A MOVING SURFACE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• Singularities of the gradient of the solution of the Neumann problem at the vertex of a cone
• A derivation of generalized saint venant’s torsion theory from three-dimensional elasticity by asymptotic expansion methods
• A new approach of Timoshenko's beam theory by asymptotic expansion method

This page was built for publication: Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes