Notice of RetractionTorsion of uniform bars using the improved Hybrid Boundary Node Method

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

An improved Hybrid Boundary Node Method (Hybrid BNM) is developed for solving the torsion problem of uniform bars. The governing equation of the torsion problem is Poisson´s equation. Based on the dual reciprocity method (DRM), the solution of problem is divided into complementary and particular solutions. The complementary solution is solved by the Hybrid BNM, and the DRM is employed to solve the particular one using radial basis functions (RBF). Hybrid BNM is a boundary type meshless method, which based on moving least squares (MLS) approximation. The method has many advantages, such as simple postprocess and high accuracy. However, shape functions for the classical MLS approximation lack the delta function property. Thus in this method, the boundary condition cannot be enforced easily and directly, and its computational cost is high for the inevitable transformation strategy of boundary condition. In the method we proposed, a regularized weight function is adopted, which leads to the MLS shape functions fulfilling the interpolation condition exactly, which enables a direct application of essential boundary conditions without additional numerical effort. Numerical results for the torsion of uniform bar are presented to demonstrate the efficiency and accuracy of the present method.