On Alleviation of Shear Locking in the Kriging-Based Finite Element Method

Main Authors: Tjong, Wong Foek, Kanok-Nukulchai, Worsak
Format: Proceeding PeerReviewed application/pdf
Terbitan: , 2006
Subjects:
Online Access: https://repository.petra.ac.id/16914/1/Publikasi1_00034_1852.pdf
http://fportfolio.petra.ac.id/user_files/00-034/0820-20KTS-SE-06.pdf
https://repository.petra.ac.id/16914/
Daftar Isi:
  • Recently, Kriging-based finite element method (K-FEM) has been developed for analysis of Reissner-Mindlin plates. This method provides sufficient flexibility in customizing the interpolation function for desired smoothness and accuracy. In the application to thin plates, however, the well-known finite element drawback of transverse shear locking still remains in the K-FEM, particularly when low order basis function is used. In this study, the concept of assumed natural transverse shear strain is introduced to alleviate the shear locking. The positions of the shear strain sampling points and the assumed natural strain fields are determined approximately by assuming the deflection field is linear within the triangular integration cells. Numerical tests on a hard simply supported square plate and on a clamped circular plate are carried out to assess the effectiveness of the present method. The tests show that the shear locking can be considerably reduced but it still cannot be completely eliminated. In the application to thick plates, however, the solutions of the present method are less accurate compared to those of the standard K-FEM.