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All Journal Civil Engineering Dimension
Mellyssa Sutrisno
Department of Civil Engineering Petra Christian University
Civil Engineering, Building, Construction & Architecture

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Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique Wong Foek Tjong; Stevanus W. Santoso; Mellyssa Sutrisno
Civil Engineering Dimension Vol. 24 No. 1 (2022): MARCH 2022
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (549.137 KB) | DOI: 10.9744/ced.24.1.11-18

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.
Co-Authors Stevanus W. Santoso Wong Foek Tjong