The Plate Paradox for Hard and Soft Simple Support

From MaRDI portal
Publication:3484449

DOI10.1137/0521030zbMath0704.73052OpenAlexW2026726536MaRDI QIDQ3484449

Juhani Pitkäranta, Ivo M. Babuška

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521030



Related Items

Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting), Computable error estimates for linearization and numerical solution of obstacle problems, A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis, On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates, Interpolated boundary conditions in plate bending problems using \(C^1\)-curved finite elements, A general degree hybrid equilibrium finite element for Kirchhoff plates, Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes, Pointwise fixation along the edge of a Kirchhoff plate, Energy minimising configurations of pre-strained multilayers, Can we really solve an arch stability problem?, Approximation of thin three-dimensional plates with smooth lateral surface by polygonal plates, Modeling and simulation of thin sheet folding, On the justification of plate models, The Hellan--Herrmann--Johnson Method with Curved Elements, Edge layers in thin elastic plates, High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces, The problem of plate modeling: Theoretical and computational results, Locking Effects in the Finite Element Approximation of Plate Models, A simple energetic explanation of the polygon-circle paradox for classical (Kirchhoff) plate theory, High-order finite element methods for a pressure Poisson equation reformulation of the Navier-Stokes equations with electric boundary conditions, Marcus integration method for shearable plates, On the Sapondzhyan–Babuška Paradox, \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved \({\mathcal C}^ 1\) finite elements, On Null-Lagrangian Energy and Plate Paradoxes, The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary, Numerical methods for spectral theory, An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation, The p- and h-p versions of the finite element method. An overview, The problem of modeling the elastomechanics in engineering