A Locking-free Kriging-based Timoshenko Beam Element with the Discrete Shear Gap Technique

Tjong, Wong Foek and Sulistio, Adam (2016) A Locking-free Kriging-based Timoshenko Beam Element with the Discrete Shear Gap Technique. In: The 12th World Congress on Computational Mechanics and the 6th Asia-Pacific Congress on Computationa, 01-10-2016 - 01-10-2016, Seoul - Republic of Korea.

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Abstract

The Kriging-based FEM (K-FEM) is an enhancement of the FEM through the use of Kriging interpolation in place of the conventional polynomial interpolation. The key advantage of the K-FEM is that the polynomial refinement can be performed without adding nodes or changing the element connectivity. In the development of the K-FEM for analyses of shear deformable beams, plates and shells, the well-known difficulty of shear locking also presents. This paper presents the K-FEM with the discrete shear gap (DSG) technique to eliminate the shear locking in the Timoshenko beam. The numerical tests show that the DSG technique can completely eliminate the shear locking for the Kriging-based beam element with cubic basis and three element-layer domain of influencing nodes. However, the DSG technique does not work well for the K-beam with linear (except with one element layer) and quadratic bases.

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