A modified four-node rectangular element

Jouni Freund; Eero-Matti Salonen

doi:10.23998/rm.75555

A modified four-node rectangular element

Jouni Freund, Eero-Matti Salonen

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Abstract

The sensitized principle of virtual work is applied to modify the stiffness matrix of the ordinary four-node rectangular element by sensitizing terms. The sensitizing parameter values are determined by the single-element strain energy test. The reference solutions used are of bending mode types and their application removes the so-called parasitic shear behavior. A stiffness matrix of good quality is obtained corresponding exactly to an earlier formulation using incompatible modes.

Original language	English
Pages (from-to)	192-199
Number of pages	8
Journal	Rakenteiden Mekaniikka (Journal of Structural Mechanics)
Volume	52
Issue number	3
DOIs	https://doi.org/10.23998/rm.75555
Publication status	Published - 30 Oct 2019
MoE publication type	A1 Journal article-refereed

Keywords

structural mechanics
sensitized principle of virtual work
four-node rectangular element

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10.23998/rm.75555Licence: CC BY

75555-Artikkelin teksti-127816-2-10-20190912Final published version, 249 KBLicence: CC BY

Cite this

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AB - The sensitized principle of virtual work is applied to modify the stiffness matrix of the ordinary four-node rectangular element by sensitizing terms. The sensitizing parameter values are determined by the single-element strain energy test. The reference solutions used are of bending mode types and their application removes the so-called parasitic shear behavior. A stiffness matrix of good quality is obtained corresponding exactly to an earlier formulation using incompatible modes.

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KW - four-node rectangular element

U2 - 10.23998/rm.75555

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M3 - Article

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JO - Rakenteiden Mekaniikka (Journal of Structural Mechanics)

JF - Rakenteiden Mekaniikka (Journal of Structural Mechanics)

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A modified four-node rectangular element

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