Premium
A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions
Author(s) -
Boutagouga Djamel.
Publication year - 2016
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5430
Subject(s) - quadrilateral , finite element method , elasticity (physics) , compressibility , mathematics , interpolation (computer graphics) , element (criminal law) , mathematical analysis , structural engineering , engineering , physics , mechanics , mechanical engineering , frame (networking) , political science , law , thermodynamics
Summary A new four‐node quadrilateral membrane finite element with drilling rotational degree of freedom based on the enhanced assumed strain formulation is presented. A simple formulation is achieved by five incompatible modes that are added to the Allman‐type interpolation. Furthermore, modified shape functions are used to improve the behaviour of distorted elements. Numerical results show that the proposed new element exhibits good numerical accuracy and improved performance, and in many cases, superior to existing elements. In particular, Poisson's locking in nearly incompressible elasticity fades and the element performs well when it becomes considerably distorted even when it takes almost triangular shape. Copyright © 2016 John Wiley & Sons, Ltd.