NON-STANDARD MODEL OF TWO-DIMENSIONAL SIMPLEX T7

  • Anatolii Khomchenko
  • Olena Lytvynenko
  • Ihor Astionenko
Keywords: T7 TRIANGULAR, NON-STANDARD MODEL, COMPUTATIONAL TEMPLATE, FINITE ELEMENT, LUMP TESTING

Abstract

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.

References

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Norrie D. H., de Vries G. An introduction to finiteelement analysis, Academic Press, N.Y. (1978).

Zienkiewicz O. C., Taylor R.L. The Finite Element Method. Fifth edition. Vol. 1. Bristol Printed and bound by MPG Boks Ltd. Butterworth – Heinemann, (2000).

Marchuk G. I., Agoshkov V. I. Vvedenie v proektsionno-setochnyie metodyi. M.: Nauka, 1981. 416 s.

Published
2020-03-25
Section
Статті