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Structural Engineering and Mechanics
  Volume 14, Number 5, November 2002, pages 595-610

Non-conforming modes for improvement of finite element performance
Choi CK, Lee TY

    This paper presents an efficiency of various non-conforming (NC) modes in development of a series of new finite elements with the special emphasis on 4-node quadrilateral elements. The NC modes have been used as a key scheme to improve the behaviors of various types of new finite elements, i.e., Mindlin plate bending elements, membrane elements with drilling degrees of freedom, flat shell elements. The NC modes are classified into three groups according to the \'correction constants\' of \'Direct Modification Method\'. The first group is \'basic NC modes\', which have been widely used by a number of researchers in the finite element communities. The basic NC modes are effective to improve the behaviors of regular shaped elements. The second group is \'hierarchical NC modes\' which improve the behaviors of distorted elements effectively. The last group is \'higher order NC modes\' which improve the behaviors of plate-bending elements. When the basic NC modes are combined with hierarchical or higher order NC modes, the elements become insensitive to mesh distortions. When the membrane component of a flat shell has \'hierarchical NC modes\', the membrane locking can be suppressed. A number of numerical tests are carried out to show the positive effect of aforementioned various NC modes incorporated into various types of finite elements.
Key Words
    basic non-conforming modes, Direct Modification Method, hierarchical non-conforming modes, higher order non-conforming modes, membrane locking
Choi CK, Korea Adv Inst Sci & Technol, Dept Civil & Environm Engn, Taejon 305701, South Korea
Korea Adv Inst Sci & Technol, Dept Civil & Environm Engn, Taejon 305701, South Korea

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