The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory

DOI10.1016/j.camwa.2021.05.036OpenAlexW3172923489MaRDI QIDQ2047576

Ying Zhang, Yan-Mei Jia, Chong-Jun Li, Juan Chen

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.036

zbMATH Keywords

scaled boundary finite element methodelement stiffness matrixdiscrete Kirchhoff theorypolygonal thin plate element

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Vibration analysis of variable fractional viscoelastic plate based on shifted Chebyshev wavelets algorithm ⋮ Revised SBFEM on arbitrary polygons and faceted polyhedrons with the second order completeness by elimination of bubble functions

Cites Work

• Unnamed Item
• Unnamed Item
• Development of quadrilateral spline thin plate elements using the B-net method
• A virtual work derivation of the scaled boundary finite-element method for elastostatics
• A rational finite element basis
• The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics
• The high-order completeness analysis of the scaled boundary finite element method
• Construction of \(n\)-sided polygonal spline element using area coordinates and B-net method
• A new 8-node quadrilateral spline finite element
• Mean value coordinates in 3D
• High-order plate bending analysis based on the scaled boundary finite element method
• A study of three-node triangular plate bending elements
• Evaluation of a new quadrilateral thin plate bending element
• Refined quadrilateral discrete Kirchhoff thin plate bending element
• Generalized Barycentric Coordinates on Irregular Polygons
• A unified 3D‐based technique for plate bending analysis using scaled boundary finite element method

This page was built for publication: The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory