Premium
Modified formulations for nine‐d.o.f. plane triangles that include vertex rotations
Author(s) -
Cook Robert 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.1620310502
Subject(s) - vertex (graph theory) , mathematics , geometry , element (criminal law) , displacement (psychology) , plane (geometry) , combinatorics , plane stress , stiffness , finite element method , mathematical analysis , physics , psychology , graph , political science , law , psychotherapist , thermodynamics
This paper considers various procedures that yield improved stiffness matrices for plane triangular elements. Each element has nine d.o.f. and vertex nodes only. Some of the resulting elements are non‐classical constant strain triangles while others have more competent displacement fields. Numerical examples suggest that the nine‐d.o.f. element can either be formulated more efficiently or made more accurate, but probably not both at the same time.