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An unsymmetric 8‐node plane element immune to mesh distortion for linear isotropic hardening material
Author(s) -
Chen Xiaotian,
Chen Wei,
Xu Jiangping,
Tu Wenbin,
Rajendran Sellakkutti,
Lu Jinzhong
Publication year - 2021
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.6763
Subject(s) - finite element method , isotropy , jacobian matrix and determinant , stiffness matrix , quadrilateral , mathematics , mathematical analysis , displacement field , distortion (music) , geometry , topology (electrical circuits) , structural engineering , materials science , physics , engineering , amplifier , optoelectronics , cmos , quantum mechanics , combinatorics
An 8‐node quadrilateral plane element US‐QUAD8 is developed for linear isotropic hardening material in the framework of updated Lagrangian unsymmetric finite formulation whereB Lmatrix is constructed by classical shape function, andB Rmatrix by the higher‐order Lagrangian basis function in global coordinate system. The present element eliminates the influence of Jacobian in the elemental stiffness matrix and guarantees the quadratic completeness of displacement field even under severe distorted mesh. Two typical problems meshed with angular/curved‐edge/mid‐side distorted elements demonstrate excellent performance of distortion resistance of the present element and good computational efficiency in severe mesh distortion.