Extended Interpolation in Finite Element Analysis

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Report Number: AFFDL TR 71-160 p. 447-476
Author(s): Morley, L. S. D.
Corporate Author(s): Royal Aircraft Establishment, Farnborough, UK
Date of Publication: 1973-12
Pages: 29
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968

It is a widely held view that mid-side connection properties impose a disproportionately severe penalty upon the computational efficiency of finite element calculations. Here, an exploration is made of a technique which eliminates these undesirable connections by an extension of spacewise interpolation across the boundaries of triangular finite elements and yet retains much of the original accuracy. The technique is applied with success to the conforming plate bending finite element with cubically varying normal displacement along the triangle sides and also to the plane stress element with quadratically varying displacements. An important development is a constant bending moment finite element which has the simplest possible connection properties involving only the normal displacement at the vertices of the triangle.

Provenance: Bombardier/Aero

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