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Geometrically non‐linear constant moment triangle which passes the von Kármán patch test
Author(s) -
Morley L. S. D.
Publication year - 1991
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.1620310204
Subject(s) - mathematics , constant (computer programming) , moment (physics) , geometry , mathematical analysis , constant curvature , displacement (psychology) , curvature , physics , classical mechanics , psychology , programming language , computer science , psychotherapist
A geometrically non‐linear constant moment triangular finite element is designed under Kirchhoff theory from a Hu–Washizu functional such that it passes the totality of von Kármán patch tests for constant strain and constant curvature. The non‐linear triangle has the same connection properties as in the linear theory where the constant strain triangle is superposed upon the displacement version of the constant moment triangle.