Premium
Some properties of linear strain triangles and optimal finite element models
Author(s) -
Pedersen Pauli
Publication year - 1973
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.1620070402
Subject(s) - finite element method , mixed finite element method , plane stress , extended finite element method , constant (computer programming) , finite element limit analysis , element (criminal law) , simple (philosophy) , mathematics , smoothed finite element method , stress (linguistics) , geometry , mathematical analysis , structural engineering , boundary knot method , computer science , engineering , linguistics , philosophy , epistemology , boundary element method , law , political science , programming language
A detailed study of the linear strain triangle (LST), which is very applicable in plane stress finite element analysis, is presented. Based on analytical stiffnesses, it is shown that the LST stiffnesses are easily obtainable from the stiffnesses of the corresponding simple constant strain triangle (CST). The optimization of finite element models is related to the configuration of the elements, and this analysis is also based upon the LST element. A procedure for changing to an improved finite element model is presented which does not require re‐analysis. Several examples are discussed.