Extended Interpolation in Finite Element Analysis

Item

Title
Extended Interpolation in Finite Element Analysis
Description
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.
Creator
Morley, L. S. D.
Abstract
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.
Corporate Author
Royal Aircraft Establishment, Farnborough, UK
Report Number
AFFDL TR 71-160 p. 447-476
Report Availability
Full text available
Publisher
Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
Date
1973
Type
article
Date Issued
1973-12
Provenance
Bombardier/Aero
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Format
1 online resource (29 pages) : ill.
Extent
29
Identifier
AD0785968
Is Part Of
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971
Media
AFFDLTR71-160article15.pdf

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Items with "Has Part: Extended Interpolation in Finite Element Analysis"
Title Class
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971