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Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique

Tjong, Wong Foek and SANTOSO, STEVANUS WONGSO and SUTRISNO, MELLYSSA (2022) Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique. [UNSPECIFIED]

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      Abstract

      Kriging-based finite element method (K-FEM) is an enhancement of the conventional finite element method using a Kriging interpolation as the trial solution in place of a polynomial function. In the application of the K-FEM to the Timoshenko beam model, the discrete shear gap (DSG) technique has been employed to overcome the shear locking difficulty. However, the applied DSG was only effective for the Kriging-based beam element with a cubic basis and three element-layer domain of influencing nodes. Therefore, this research examines a modified implementation of the DSG by changing the substitute DSG field from the Kriging-based interpolation to linear interpolation of the shear gaps at the element nodes. The results show that the improved elements of any polynomial degree are free from shear locking. Furthermore, the results of beam deflection, cross-section rotation, and bending moment are very accurate, while the shear force field is piecewise constant.

      Item Type: UNSPECIFIED
      Uncontrolled Keywords: Kriging-based finite element method, Timoshenko beam, shear locking, discrete shear gap
      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: 29 Apr 2022 21:06
      Last Modified: 01 May 2022 03:55
      URI: https://repository.petra.ac.id/id/eprint/19541

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