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Title
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Extended Interpolation in Finite Element Analysis
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Description
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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.
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Creator
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Morley, L. S. D.
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Abstract
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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.
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Corporate Author
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Royal Aircraft Establishment, Farnborough, UK
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Report Number
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AFFDL TR 71-160 p. 447-476
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Report Availability
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Full text available
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Publisher
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Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
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Date
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1973
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Type
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article
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Date Issued
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1973-12
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Provenance
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Bombardier/Aero
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Distribution Classification
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1
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Distribution Conflict
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No
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DTIC Record Exists
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No
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Format
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1 online resource (29 pages) : ill.
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Extent
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29
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Identifier
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AD0785968
