A modified four-node rectangular element

Jouni Freund, Eero-Matti Salonen

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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 languageEnglish
Pages (from-to)192-199
Number of pages8
JournalRakenteiden Mekaniikka (Journal of Structural Mechanics)
Issue number3
Publication statusPublished - 30 Oct 2019
MoE publication typeA1 Journal article-refereed


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


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