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On Alleviation of Shear Locking in the Kriging-Based Finite Element Method

Tjong, Wong Foek and Kanok-Nukulchai, Worsak (2006) On Alleviation of Shear Locking in the Kriging-Based Finite Element Method. In: International Civil Engineering Conference “Towards Sustainable Engineering Practice”, 01-01-2006 - 01-08-2006, Surabaya - Indonesia.

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    Abstract

    Recently, Kriging-based finite element method (K-FEM) has been developed for analysis of Reissner-Mindlin plates. This method provides sufficient flexibility in customizing the interpolation function for desired smoothness and accuracy. In the application to thin plates, however, the well-known finite element drawback of transverse shear locking still remains in the K-FEM, particularly when low order basis function is used. In this study, the concept of assumed natural transverse shear strain is introduced to alleviate the shear locking. The positions of the shear strain sampling points and the assumed natural strain fields are determined approximately by assuming the deflection field is linear within the triangular integration cells. Numerical tests on a hard simply supported square plate and on a clamped circular plate are carried out to assess the effectiveness of the present method. The tests show that the shear locking can be considerably reduced but it still cannot be completely eliminated. In the application to thick plates, however, the solutions of the present method are less accurate compared to those of the standard K-FEM.

    Item Type: Conference or Workshop Item (Paper)
    Uncontrolled Keywords: Kriging Reissner-Mindlin assumed natural transverse shear strain shear locking
    Subjects: Q Science > QA Mathematics
    T Technology > TA Engineering (General). Civil engineering (General)
    Divisions: Faculty of Civil Engineering and Planning > Civil Engineering Department
    Depositing User: Admin
    Date Deposited: 04 Feb 2015 02:15
    Last Modified: 06 Feb 2015 00:16
    URI: https://repository.petra.ac.id/id/eprint/16914

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