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

Authors

  • Wong Foek Tjong Department of Civil EngineeringPetra Christian University
  • Stevanus W. Santoso Structural Engineer Federal Engineering Consultant Inc., Taipei
  • Mellyssa Sutrisno Department of Civil Engineering Petra Christian University

DOI:

https://doi.org/10.9744/ced.24.1.11-18

Keywords:

Kriging-based finite element method, Timoshenko beam, shear locking, discrete shear gap

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.

Author Biography

Wong Foek Tjong, Department of Civil EngineeringPetra Christian University

Assistant Professor Department of Civil Engineering

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Published

2022-05-13

How to Cite

Tjong, W. F., Santoso, S. W. ., & Sutrisno, M. . (2022). Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique. Civil Engineering Dimension, 24(1), 11-18. https://doi.org/10.9744/ced.24.1.11-18

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