Open AccessНЕСТАНДАРТНА МОДЕЛЬ ДВОВИМІРНОГО СИМПЛЕКСА Т7
Author(s) -
A. N. Khomchenko,
Olena Lytvynenko,
И А Астионенко
Publication year - 2020
Publication title -
ìnformacìjnì tehnologìï v metalurgìï ta mašinobuduvannì
Language(s) - English
Resource type - Journals
ISSN - 2708-0102
DOI - 10.34185/1991-7848.itmm.2020.01.027
Subject(s) - node (physics) , boundary (topology) , finite element method , element (criminal law) , square (algebra) , computer science , dual (grammatical number) , algorithm , mathematics , mathematical optimization , geometry , mathematical analysis , engineering , structural engineering , art , literature , political science , law
The paper considers the triangle T7, which has seven nodes (three nodes in the points, three nodes in the middle of the sides and one node in the barycenter). It is shown that T7, as well as standard T10 can fulfill a dual role: both of a computational pattern and a finite element. Violation of inter-element continuity (incompatibility) at the boundary with triangular T6 or square Q8 has no undesirable effects. T7 model successfully withstands lump testing. Upon that the "blown" mode of T7 opens the possibility to generate by condensation many alternative models of T6 with different integral characteristics.