Correctness of four-node plate bending element with bi-linear shape functions in static, dynamic and stability analysis

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Authors: W. Gilewski
Cited by: 0

Abstract

Qualitative evaluation of well known 4-node rectangular moderately thick plate bending element with linear shape functions is presented for static, dynamic and stability analysis. Full, reduced and selective integration is considered. The evaluation is based on the energy-difference method in which the densities of strain, kinetic and “geometric” energies in the FEM formulation are compared with exact differential expressions.

Fields of Study & Subjects

Composite Structure Analysis and Optimization Advanced Numerical Methods in Computational Mathematics Advanced Numerical Analysis Techniques

Publication details

Journal / source
CRC Press eBooks
Pages
463–466
Publication date
4 February 2026
Language
EN
Document type
Book chapter