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The poor bending response of the four‐node plane stress quadrilateral
Author(s) -
Prathap Gangan
Publication year - 1985
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.1620210505
Subject(s) - quadrilateral , bending , structural engineering , stress (linguistics) , plane (geometry) , plane stress , finite element method , node (physics) , stress resultants , constant (computer programming) , flexural strength , simple (philosophy) , beam (structure) , mathematics , action (physics) , geometry , mathematical analysis , computer science , engineering , physics , quantum mechanics , philosophy , linguistics , epistemology , programming language
Abstract Many plane stress finite elements which can exactly represent rigid‐body and constant‐strain modes are too stiff in their response to the simple flexural action of a beam. This problem has received considerable interest. In this paper we explore a new interpretation of the problem and show that the poor bending response of the original 4‐node plane stress quadrilateral can be quantitatively predicted by an error model.