Research Article
Jun 1975
Avoidance of Parasitic Shear in Plane Element
Publication: Journal of the Structural Division
Volume 101, Issue 6
Abstract
A method for avoiding parasitic shear in displacement-based finite elements is proposed. Internal degrees-of-freedom are not required, and the resulting element is valid whether rectangular or of general quadrilateral shape. The element is improved by adding internal degrees-of-freedom, but it is questionable whether the improvement is worth the added computational expense. The new elements may be immediately adapted to the analysis of solids of revolution. Computational test has shown that the new elements, with or without internal degrees-of-freedom, pass the patch test in axisymmetric problems. The test cases considered were radial loads on a disk of constant thickness and axial loads on a cylinder of constant thickness. Non-rectangular elements were used in both cases. The proposed method of formulation might similarly benefit the eight-node linear isoparametric solid element. As there are many ways to divide a hexahedron into component tetrahedra, the crudest acceptable division must be sought in order to achieve computational efficiency.
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Published In
Journal of the Structural Division
Volume 101 • Issue 6 • June 1975
Pages: 1239 - 1253
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: Jun 1975
Published online: Feb 1, 2021
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Authors
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Robert D. Cook, M.ASCE
Prof., Dept. of Engrg. Mechanics, Univ. of Wisconsin, Madison, Wisc.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.