On the justification of plate models

DOI10.1007/s10659-010-9271-8zbMath1237.74127OpenAlexW2112339648MaRDI QIDQ644726

Christoph Schwab, Dietrich Braess, Stefan A. Sauter

Publication date: 7 November 2011

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/30555

zbMATH Keywords

justificationplate modelsReissner-Mindlin modelhypercircle inequalityPrager-Syngeshear correction factor

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Plates (74K20)

Related Items (9)

Instability of modes in a partially hinged rectangular plate ⋮ The bending-gradient theory for thick plates: existence and uniqueness results ⋮ Some solutions of minimaxmax problems for the torsional displacements of rectangular plates ⋮ Discretization error for the discrete Kirchhoff plate finite element approximation ⋮ Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation ⋮ Implicit upper bound error estimates for combined expansive model and discretization adaptivity ⋮ Estimates of the modeling error for the Kirchhoff-Love plate model ⋮ Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation ⋮ An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equilibrated residual error estimates are \(p\)-robust
• On the mathematical foundation of the \((1,1,2)\)-plate model
• On the range of applicability of the Reissner--Mindlin and Kirchhoff--Love plate bending models
• The inhomogeneous Dirichlet problem in Lipschitz domains
• A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems
• Herleitung der Plattentheorie aus der dreidimensionalen Elastizitätstheorie
• COMPUTABLE ESTIMATES OF THE MODELING ERROR RELATED TO KIRCHHOFF–LOVE PLATE MODEL
• Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method
• On the accuracy of Reissner–Mindlin plate model for stress boundary conditions
• The Boundary Layer for the Reissner–Mindlin Plate Model
• The Plate Paradox for Hard and Soft Simple Support
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence
• Approximations in elasticity based on the concept of function space
• On bending of elastic plates
• Finite Elements

This page was built for publication: On the justification of plate models