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On using different finite elements with an automatic adaptive refinement procedure for the solution of 2‐D stress analysis problems
Author(s) -
Lee C. K.,
Hobbs R. E.
Publication year - 1997
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/(sici)1097-0207(19971230)40:24<4547::aid-nme272>3.0.co;2-j
Subject(s) - quadrilateral , finite element method , lagrangian , mixed finite element method , mathematics , stress (linguistics) , element (criminal law) , series (stratigraphy) , extended finite element method , mathematical optimization , algorithm , computer science , structural engineering , engineering , paleontology , linguistics , philosophy , political science , law , biology
A series of numerical tests is carried out employing some commonly used finite elements for the solution of 2‐D elastostatic stress analysis problems with an automatic adaptive refinement procedure. Different kinds of elements including Lagrangian quadrilateral and triangular elements, serendipity quadrilaterals, incompatible elements and hybrid elements have been tested. It is found that for a general problem involving compressible material and when a moderate accuracy of the final solution is sought, the nine‐node Lagrangian (L9) element will be the most effective element, while when an extremely accurate solution is needed, higher order Lagrangian quadrilaterals or triangles will be a suitable choice. However, if only linear elements are available, the well known 5βI linear hybrid element is the best choice. © 1997 John Wiley & Sons, Ltd.