The quadrilateral Mindlin plate elements using the spline interpolation bases

DOI10.1016/j.cam.2017.05.045zbMath1426.74199OpenAlexW2692415540MaRDI QIDQ1675362

Juan Chen

Publication date: 27 October 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.05.045

zbMATH Keywords

B-net methodspline finite elementMindlin plate elementquadrilateral thick/thin plate elementspline interpolation bases

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Development of quadrilateral spline thin plate elements using the B-net method
• On the dimensions of bivariate spline spaces and the stability of the dimensions
• A new 8-node quadrilateral spline finite element
• A conforming finite element for plate bending
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• Application of the quadrilateral area co-ordinate method: a new element for Mindlin–Reissner plate
• A simple and efficient finite element for plate bending
• Linked interpolation for Reissner‐Mindlin plate elements: Part I—A simple quadrilateral
• Effects of element distortions on the performance of isoparametric elements
• Refined quadrilateral element based on Mindlin/Reissner plate theory
• A new discrete Kirchhoff‐Mindlin element based on Mindlin–Reissner plate theory and assumed shear strain fields—part II: An extended DKQ element for thick‐plate bending analysis
• Reduced integration technique in general analysis of plates and shells
• A new twelve DOF quadrilateral element for analysis of thick and thin plates.

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