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A geometrically non‐linear quasi‐conforming nine‐node quadrilateral degenerated solid shell element
Author(s) -
Guan Yupu,
Tang Limin
Publication year - 1995
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.1620380604
Subject(s) - quadrilateral , finite element method , shell (structure) , geometry , square (algebra) , node (physics) , mathematics , mixed finite element method , displacement (psychology) , mathematical analysis , element (criminal law) , linear elasticity , structural engineering , materials science , engineering , composite material , psychotherapist , psychology , political science , law
In this paper, a geometrically non‐linear quasi‐conforming nine‐node quadrilateral degenerated solid shell element has been constructed from generalization of a linear quasi‐conforming nine‐node quadrilateral degenerated solid shell element, 10 based upon the non‐linear quasi‐conforming finite element method. First, the geometrical description and displacement model of the nine‐node quadrilateral degenerated solid shell element is given. Then, the non‐linear quasi‐conforming finite element method is discussed and assumed strains and weighed functions are given. Last, analysis of numerical examples for a clamped square plate, a circular arch, a spherical shell, two cylindrical shells, the patch test and a simply supported square plate is carried out. The results are compared with exact and other finite element solutions. The results indicate that the shell element in the paper is accurate and efficient.