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Erschienen in:
2009 | OriginalPaper | Buchkapitel
An Orthogonalization Approach for Basic Deformation Modes and Performance Analysis of Hybrid Stress Elements
verfasst von : Canhui Zhang
Erschienen in: Computational Structural Engineering
Verlag: Springer Netherlands
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A new orthogonalization method is presented for the basic deformation modes. The inner products between basic deformation modes both including and excluding the element stiffness matrix are employed and the orthogonality within the orthogonal basic deformation modes is fully independent of the material properties so that they can serve as a uniformed tool to assess a given element. In the proposed approach, the arbitrary displacement field of deformation for different hybrid element can be easily decoupled into a linear combination of a series of basic modes. Thereafter their relating deformation energy, namely the element performance, can be directly studied. In the numerical examples the performances of several hybrid elements that are constructed by different assumed stress fields are provided using the proposed method. The results show that the method is very effective.