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Published: Građevinar 70 (2018) 1
Paper type: Subject review
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Method of Incompatible Modes – Overview and Application

Ivica Kožar, Tea Rukavina, Adnan Ibrahimbegović

Abstract

The finite-element method has been in use in the engineering community for over 50 years, a period during which it has been constantly improved. One important improvement is the addition of required displacement modes ("incompatible modes") into the element’s shape functions. Such addition violates the continuity condition, and has to be realised according to certain rules if convergence is to be achieved. The benefits are shown in the element’s behaviour under unfavourable loading conditions, and in the possibility of a simplified treatment of strain or displacement discontinuities.

Keywords
Finite element, shape function, bending analysis, discontinuity analysis, static condensation

HOW TO CITE THIS ARTICLE:

Kožar, I., Rukavina, T., Ibrahimbegović, A.: Method of Incompatible Modes – Overview and Application, GRAĐEVINAR, 70 (2018) 1, pp. 19-29, doi: https://doi.org/10.14256/JCE.2078.2017

OR:

Kožar, I., Rukavina, T., Ibrahimbegović, A. (2018). Method of Incompatible Modes – Overview and Application, GRAĐEVINAR, 70 (1), 19-29, doi: https://doi.org/10.14256/JCE.2078.2017

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Creative Commons License
This paper is licensed under a Creative Commons Attribution 4.0 International License.
Authors:

Ivica Kožar
University of Rijeka, Faculty of Civil Engineering

Tea Rukavina
University of Rijeka
Faculty of Civil Engineering
AdnanIbrahimbegovic
Adnan Ibrahimbegović
École Normale Supérieure de Cachan