Open AccessLocking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique
Author(s) -
Wong Foek Tjong,
Stevanus W. Santoso,
Mellyssa Sutrisno
Publication year - 2022
Publication title -
dimensi teknik sipil/civil engineering dimension
Language(s) - English
Resource type - Journals
eISSN - 1979-570X
pISSN - 1410-9530
DOI - 10.9744/ced.24.1.11-18
Subject(s) - finite element method , kriging , polynomial interpolation , timoshenko beam theory , piecewise , interpolation (computer graphics) , deflection (physics) , shear force , shear (geology) , mathematical analysis , spline interpolation , beam (structure) , structural engineering , mathematics , polynomial , linear interpolation , bilinear interpolation , materials science , physics , classical mechanics , engineering , statistics , motion (physics) , composite material
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.